1. Introduction
Multi-finger prosthetic hands are important in upper limb rehabilitation and assistive robotics. For daily assistive use, the design objective is to retain representative grasping and manipulation functions within strict constraints on volume and physical parameters. In this context, biomimetic design is better reflected in the functional organization of grasp formation and opposition than in a direct increase in structural complexity. Recent advances in miniature actuators, embedded control systems, and rapid manufacturing technologies have enabled prosthetic hands with increasingly rich grasping functions, and both research prototypes and commercial devices can now realize a broad range of representative grasp patterns. However, from both engineering and deployable perspectives, high functional coverage often comes at the expense of an increased actuator count, system mass and mechanical/control complexity. Such designs not only result in increased manufacturing and maintenance costs but may also affect long-term wearing comfort and system reliability [
1,
2,
3]. Therefore, to preserve necessary grasping capability under a tightly constrained wearable budget remains a critical challenge in prosthetic hand design.
Against this background, underactuated biomimetic prosthetic hands have become a promising design direction with obvious engineering benefits. By using tendons, differential mechanisms, or compliant elements, underactuated structures can be used to coordinate multiple joints with a single actuator, to achieve coupled multi-joint motions without a proportional increase in the number of actuators [
4,
5,
6]. For daily grasping tasks, such designs exploit mechanically embodied passive adaptability, reaching grasp stability and success rates comparable to fully actuated hands while greatly reducing system weight and energy consumption [
7]. Nevertheless, existing implementations of the technology are still polarized; some approaches focus on extreme actuation simplification to achieve compactness but have limited controllability over task-critical grasp postures. Others improve the completeness of functions but are based on complex differential mechanisms or additional actuators and lose the advantages of lightweightness and wearability inherent in underactuation [
8]. These observations show that it is not enough to reduce the number of actuators because it is not possible to simultaneously meet the requirements of functional coverage and engineering feasibility.
These observations also suggest that the key issue in underactuated prosthetic hands is not merely whether actuation can be reduced, but how the limited actuation should be distributed to preserve functionally meaningful grasping. Existing studies have explored several representative routes. Actuation-oriented analyses have shown that the functionality of underactuated anthropomorphic hands depends strongly on how actuation is allocated across the fingers and thumb, because different allocation strategies lead to markedly different trade-offs between grasp diversity and functional usefulness [
9]. Representative prototypes have therefore adopted distinct solutions, including lock-based tendon-pulley architectures that expand grasping capabilities through selectively constrained finger motion [
10], mechanically programmable underactuated prosthetic grippers that combine tendon-driven fingers with reconfigurable thumb behavior [
11], and synergy-inspired low-actuator hands that emphasize compactness together with simplified multimodal control [
12]. Taken together, these studies confirm the engineering value of under-actuation, but they also indicate that lightweight implementation, representative grasp-type differentiation, and low-complexity control are often optimized only partially rather than under unified allocation logic. In this sense, an important unresolved issue in underactuated prosthetic hands is how limited actuation should be allocated across the hand so that coordinated grasp formation remains functionally meaningful while still satisfying lightweight and engineering constraints.
Under constrained actuation, single-finger architecture plays an important role in achieving coordinated multi-joint motion with adequate predictability and stability. In underactuated prosthetic fingers, a common engineering strategy is to preserve direct control over the dominant flexion component while using mechanical coupling to coordinate the remaining joints, so that synergistic multi-joint flexion can be achieved without a proportional increase in actuator count. Embedding explicit mechanical constraints to predefine inter-joint motion relationships allows such architectures to produce more stable and interpretable coordination patterns during flexion, thereby reducing the need for complex control algorithms. Compared with fully independently actuated designs, this method has clear advantages in compactness and mass reduction. Compared with highly coupled or single-input structures, it also preserves more interpretable and functionally separable postures, which not only benefits configuration reproduction and grasp envelopment, but also provides the structural basis for representative daily grasp formation under constrained actuation [
13,
14,
15,
16,
17,
18,
19,
20].
Such grasp formation relies on three closely related functional features. The first is coordinated closure of the four fingers, in which grasp formation is dominated by low-dimensional flexion patterns rather than fully independent joint regulation. The second is post-contact redistribution, where mechanical coupling and compliance support adaptive envelopment as contact conditions change. The third is thumb-side opposition adjustment, which determines opposition location and contact mode and thereby strongly influences the separation of representative grasp types. These features are directly reflected in the present combination of four-finger underactuated closure and a preserved two-DOF thumb configuration, in which thumb-side opposition adjustment remains the key geometric factor for differentiating representative grasp types under limited actuation.
Thumb-side DOF allocation has a decisive influence on grasp-type differentiation in a prosthetic hand. Opposition adjustment provided by the thumb is fundamental to the formation of stable pinch-like and precision grasp configurations with the four fingers [
21]. Increasing thumb DOFs can broaden grasp-posture diversity, but it usually requires additional actuators or more complicated mechanisms, which conflicts with the goal of lightweight design [
22,
23]. Conversely, excessive simplification of thumb motion can severely reduce practical utility in common grasping situations [
24]. Therefore, under constrained actuation, the engineering question is not simply whether more thumb mobility is beneficial, but which thumb-side adjustments exert the strongest influence on opposition geometry and the grasp plane and should thus be preferentially preserved [
25,
26,
27,
28].
At the control level, although underactuated mechanisms offer passive mechanical adaptability, reliable grasp execution still requires effective state estimation and termination mechanisms to avoid overdriving and structural damage. Conventional approaches often rely on force, tactile, or slip sensing to support fine closed-loop grasp control [
29]. In lightweight wearable prosthetic hands however, multi-sensor configurations can substantially increase system complexity, wiring burden, and potential failure points [
30,
31]. Under these constraints, a more practical route is to use available motor-side feedback, such as encoder position/velocity or current-related signatures, to infer contact and near-stall conditions [
32,
33,
34,
35,
36,
37,
38]. Although this route is not intended for fine force regulation, it enables reliable grasp termination without introducing additional sensors, thereby reducing implementation complexity while supporting overall system robustness.
Recent prosthetic-hand studies have expanded grasp capability through substantially different technical routes, but the underlying distinction lies not only in how many functions are achieved, but also in where mechanical and control complexity is allocated. Highly articulated platforms typically increase active degrees of freedom and rely on richer sensing and control loops to extend dexterity [
39], whereas semi-autonomous systems reduce user burden through multimodal sensing and autonomous grasp execution [
40]. Other studies simplify the hand more uniformly at the whole-hand level, reducing actuation and control burden while retaining only a limited number of distinct grasp patterns in exchange for lower structural and control complexity [
41]. In contrast, the present study does not pursue any of these routes directly. Instead, it adopts a selective-underactuation strategy in which complexity is reduced on the four-finger side through tendon-coupled underactuated closure, while thumb-side geometric adjustment is preserved and paired with an encoder-based sensor-minimal execution framework. The purpose of this allocation is not to maximize overall dexterity, but to retain representative grasp-type differentiation under simultaneous constraints on wearable mass, actuator count, and sensing configuration. This interpretation is also consistent with prior observations that thumb orientation and actuation strongly affect the realization of representative grasps, especially tripod and lateral grasps [
42], and that differentiated drive allocation may be more effective than uniform simplification when both precision and conformal grasp behaviors need to be retained [
43].
To address the tightly constrained wearable budget in actuator count, mass, and sensing requirements and retain functionally meaningful grasp-type differentiation, we propose a lightweight prosthetic hand based on transmission–control co-design. The design allocates one actuator to each of the four fingers and two actuators to the thumb, so that underactuated envelopment and thumb-mediated opposition can be organized in a complementary manner. At the finger level, the MCP joint is actively driven, whereas the PIP and DIP joints are coupled through a tendon-based underactuated mechanism to realize predictable synergistic flexion under limited actuation. At the hand level, the thumb is assigned two independently controlled DOFs to preserve the grasp-type differentiation required for representative daily grasps such as power grasp, tripod pinch, and lateral pinch. Rather than pursuing full anthropomorphic replication or high-DOF actuation, this work focuses on a reproducible engineering route for balancing lightweight design, grasp-type coverage, and control simplicity. The resulting prototype is evaluated through posture-reproduction and multi-object grasping experiments to examine whether this coordinated structural and control strategy can preserve broad functional coverage under constrained hardware conditions.
To address this engineering question, the main contributions of this work are summarized as follows:
(1) A selective-underactuation design strategy for lightweight multi-finger prosthetic hands is proposed. Instead of maximizing either DOF count or actuation simplification alone, the design assigns active MCP actuation to the four fingers and preserves two active thumb DOFs, thereby explicitly targeting the balance between wearable lightweight constraints and grasp-type differentiation.
(2) An interpretable tendon-transmission organization is developed for predictable coupled finger flexion. By formulating active/passive tendon-length constraints and implementing an equal-stroke actuation configuration, the proposed mechanism improves the consistency and reproducibility of underactuated multi-joint motion.
(3) A low-complexity sensorless grasp-formation framework is established using encoder-based state monitoring. Without introducing additional force or tactile sensors, the controller integrates reference rotation constraints and speed-decay-based contact/near-stall inference to support grasp termination and overdrive protection under underactuated grasping conditions.
(4) A prototype-level validation framework is provided through posture-reproduction and representative grasping experiments. The results show that broad functional coverage can still be achieved under limited actuation and sensing, while also clarifying the practical boundary between lightweight implementation and grasp-function coverage.
The rest of this paper is organized as follows.
Section 2 describes the overall design of the hand, the tendon-driven underactuation and transmission mechanism, and the encoder feedback-based control and grasp termination strategy.
Section 3 introduces key performance results and multi-object grasping experiments, where action library-level coverage is evaluated based on the GRASP taxonomy.
Section 4 deals with the structure–control synergy and examines the benefits and challenges of the proposed design. Finally,
Section 5 summarizes the main findings and conclusions of the study.
2. Materials and Methods
2.1. Overall Hand Design Overview
The physical prototype of the proposed prosthetic hand and representative multi-finger postures are shown in
Figure 1. The hand is made of 5 digits and actuated by 6 miniature DC motors (N20, China): one motor is dedicated to actuating each of the index, middle, ring and little fingers, while the thumb is actuated by two independent actuators. This configuration gives a total of 14 mechanical DOFs, three joint DOFs for each of the four fingers and two DOFs for the thumb. Such a distribution allows independent flexion and extension of each digit, as well as coordinated multi-finger postures, which support representative grasp configurations including the five-finger power grasp and tripod pinch.
Once the actuation count and the DOF allocation are determined, the spatial arrangement of the actuators has a direct impact on the mass distribution and structural compact-ness of the hand. Accordingly, all drive motors are mounted at the dorsal (back-of-hand) side. This centralized arrangement close to the palm minimizes added mass on the distal segments of the fingers and maintains adequate space for structures of the intra-finger joints and tendon-routing paths. Furthermore, the dorsal placement ensures that the palmar side is unobstructed, there is no interference between actuation components and the object-contact region, and the tendon anchoring, replacement, and routine maintenance are simplified. The main geometric dimensions of the present prototype are summarized in
Table 1,
Table 2 and
Table 3.
These dimensions define the geometric scale of the current adult-size prototype and provide the dimensional basis for the following structural description. In principle, the present tendon-driven underactuated mechanism is compatible with moderate geometric scaling; however, child-oriented or other size-specific versions would require dedicated redesign and validation rather than direct scaling of the current prototype, because the feasible scaling range is constrained by tendon-routing space, actuator arrangement, and transmission geometry.
For the single-finger design, the four fingers have a three-joint serial kinematic chain corresponding to the MCP, PIP, and DIP joints. Each MCP joint is directly actuated by a DC motor, and the PIP and DIP joints are passively coupled to the MCP joint via tendon transmission. During flexion of the finger, the PIP and DIP joints rotate synchronously with the MCP joint, causing coordinated multi-joint flexion. This coupled motion generates joint synergies that closely approximate the natural flexion pattern of the human finger, facilitating smooth and continuous fingertip motion during grasping. Detailed descriptions of the mechanical structure and coupling relationships of the finger are given in the following sections.
In contrast to the other four fingers, which are mainly involved in flexion and extension movements, the thumb is important for the establishment of opposition and the stabilization of object posture in multiple modes of grasp. To satisfy these functional requirements, the thumb has a dual-motor actuation scheme to allow posture adjustment for various grasps. Specifically, the motor that is closer to the base of the thumb is in charge of the rotational motion, which is in relation to the palm, to regulate spatial placement during the formation of the grasp, and the other motor that is further down the thumb is in charge of adduction and abduction, responsible for opposition to the other fingers. Through the coordination of these two independent DOFs, the thumb is able to make the required pose adjustments for representative grasp modes, such as the five-finger power grasp, tripod pinch, and lateral pinch.
DC motors are used for actuation applications because of their small size, low weight and high torque with integrated encoders to provide real-time feedback on the state of the motion. Motor output is transferred to the joints of the fingers by a tendon-driven mechanism. The tendons are passed along the inside of the fingers to the back and attached to the joint structures at specific points. This transmission approach has advantages in terms of mechanical simplicity and spatial efficiency, which can be used to achieve effective multi-joint coupling in a compact hand configuration.
2.2. Mechanical Finger Structure and Coupled Motion
As shown in
Figure 2, each finger in the four-finger module is organized as a tendon-driven three-joint chain including the MCP, PIP, and DIP joints. To make the routing relationship explicit, the tendon set can be divided into one driven flexion tendon, one driven extension tendon, a first-stage passive flexion/extension tendon pair, and a second-stage passive flexion/extension tendon pair. The driven tendons are directly connected to the motor-side actuation, whereas the passive tendons are arranged to redistribute tendon length during joint rotation and thereby transmit motion across adjacent joints. In the present design, the flexion-side tendons are marked in red, and the extension-side tendons are marked in yellow. For the driven tendon, one end is fixed to the motor-winding drum and the other end is fixed to the proximal phalanx by a screw. For the passive tendon, one end is terminated by a knot-based mechanical stop, and the other end is fixed to the corresponding phalanx in a similar manner. This routing arrangement provides the structural basis for coupled multi-joint transmission under constrained actuation.
Figure 3 further illustrates how the tendon-routing arrangement shown in
Figure 2 is converted into sequential coupled motion during extension and flexion. In both directions, the motor-driven tendon input first produces rotation at the MCP joint, after which tendon-length redistribution progressively drives the PIP and DIP joints.
During flexion, the driven flexion tendon on the palmar side of the MCP joint is attached to the motor. When the motor rotates forward, this tendon is tensioned, generating a downward pulling force and a counterclockwise driving moment on the proximal, middle, and distal phalanges. Under this moment, the three phalanges initially rotate together about the MCP joint. As the proximal phalanx rotates, the passive tendon segment on the dorsal side of the MCP joint is progressively exposed. Because the total tendon length remains constrained, the tendon length originally assigned to the PIP joint correspondingly decreases, which generates a counterclockwise moment on the middle and distal phalanges and causes them to rotate about the PIP joint. In a similar manner, when the middle phalanx rotates about the PIP joint, the dorsal passive tendon segment at the PIP joint is further exposed, decreasing the tendon length associated with the DIP joint. This produces a counterclockwise moment on the distal phalanx and drives DIP rotation. Therefore, tension applied only to the driven flexion tendon is sufficient to drive the MCP, PIP, and DIP joints sequentially through tendon length–constraint transmission, thereby achieving coordinated multi-joint finger flexion.
For coupled finger extension, the transmission process works in the opposite direction. When the motor rotates backwards, tension is applied to the driven extension tendon on the dorsal side of the MCP joint. Through the same tendon length–constraint relationship, the phalanges rotate in the reverse direction, so that MCP extension is initiated first and the motion is then transmitted successively to the PIP and DIP joints. As shown in
Figure 3, the extension process follows the same coupled transmission logic as flexion, but with the tendon-loading direction reversed. Under full coupled motion, each adjacent phalanx rotates by approximately 90° with respect to its neighboring segment, while the passive tendon length is redistributed between the palmar and dorsal sides.
As shown in
Figure 4a, taking the secondary passive extension tendon as an example, to keep the tension of the secondary passive extension tendon continuous and the total tendon length constantly equal during the whole motion, it is necessary that the following condition is satisfied:
Moreover, since:
it follows that the passive tendon length should satisfy:
In the designed finger structure, we set:
The passive tendon is routed according to this relationship. Experimental results show that this routing strategy is useful to keep the tendon length consistent during coupled motion.
For the active tendon, as shown in
Figure 4b, if the same routing configuration as the passive tendon was adopted and the active tendon was connected directly to the motor input, tendon slack may occur in the practical actuation. The main cause of this slack is inconsistency in tendon stroke. Specifically, after a flexion motion, the angle of the dorsal side of the MCP joint increases by
, while the angle of the palmar side of the MCP joint decreases by
. Accordingly, the angle from the top (dorsal) can be written as
and the angle from the bottom (palmar) can be written as:
To avoid tendon slack, the active tendon must satisfy stroke consistency during motion:
However, the above relationship cannot be strictly equal to a constant . Under this routing scheme, there is not equal stroke of the active tendon during motion, which means that the driving side and the return side have different lengths. In the practical actuation, this stroke mismatch directly compromises the reliability of finger motion.
Specifically, when the motor output torque is low, unequal stroke holds the tendon from staying in effective tension, limiting finger motion or even preventing its initiation. When the motor torque is high enough, the motion can be completed by the finger overcoming the discrepancy of the stroke, but the local tendon slack is introduced, resulting in dead travel, which decreases the accuracy and controllability of the motion.
Therefore, if the active tendon is routed the same as the passive tendon, there is inevitable inconsistency in stroke and stability, and predictability of actuation is compromised. Based on this analysis, the active tendon needs a routing and transmission configuration different from that of the passive tendon to ensure consistent stroke during the driving.
Further analysis of the joint kinematic relationship shows that, as shown in
Figure 5, it naturally satisfies the following identity:
Specifically, the sum of the two exposed angles at the joint remains constant at
. Subtracting
from both sides of this identity and multiplying by
yields:
Under this condition, the stroke variations in the tendon segments during motion cancel each other out, to achieve consistency of tendon stroke.
Based on this relationship, the original chord-length variation can be converted into an arc-length variation. By incorporating a bearing into the structure, equal-stroke actuation of the active tendon can be realized. Specifically, when the bending angle is
, the length of the flexion-driving tendon decreases by
, while the length of the extension tendon increases by
. These variations are equal in magnitude, satisfying:
In addition to the coupled four-finger mechanism, the thumb adopts a differentiated two-DOF actuation arrangement, as shown in
Figure 6. The two independently controlled thumb DOFs are opposition and abduction/adduction, which are deliberately preserved to support grasp-type differentiation at the hand level. For thumb abduction/adduction, two antagonistic tendons are wound and released in opposite directions to generate differential tendon-length variation, thereby generating thumb abduction/adduction motion. For thumb opposition, the motor output shaft is mechanically coupled to the thumb transmission structure, so that the corresponding motion can be produced directly. Through the coordination of these two thumb-side DOFs, the hand retains the configurational adjustment required for representative grasps such as the five-finger power grasp, tripod pinch, and lateral pinch.
2.3. Control Architecture and Strategy
2.3.1. Overview of the Control Architecture
To facilitate the coordinated use of more than one finger and ensure the successful execution of grasps, this work implements a layered control architecture, as shown in
Figure 7. The system consists of a host personal computer (PC) and an embedded control unit (responsible for command interaction and low-level execution, respectively). The control pipeline is a closed-loop data flow which includes “command transmission → execution → state feedback.”
The host PC acts as the interaction interface at the upper level, generating and trans-mitting predefined commands for hand postures and grasp modes, and controlling the serial communication with the embedded controller. Motion commands are sent to the lower-level controller over a serial link and runtime status and feedbacks from the embedded unit are returned to the PC in real-time for experimental monitoring and data logging.
The embedded control unit is based around an STM32F767 microcontroller. It receives and parses commands from the PC and generates motor drive signals and coordinates the execution process in a unified way. The microcontroller directly interfaces with the drive motors and their encoders and continuously receives encoder feedback to characterize the states of the motor motion and provide essential inputs for the subsequent control logic and state determination.
Control signals are distributed by the STM32 to individual motor driver modules, which execute their assigned command independently of each other. Encoder feedback is gathered and aggregated back to the control unit, creating a centralized state acquisition path for multi-motor coordination. This data-flow organization eliminates cross-module coupling dependencies, which allows for a consistent interface even as motor channels are scaled up or control logic is altered.
The hardware implementation is based on the actuation of the motor and the acquisition of position feedback. All the information needed for control and state determination is measurable by the encoders and processed centrally by the embedded unit, thus offering a complete signal chain for implementing the further control strategy. In the present implementation, command generation and motion execution are organized in a command-driven manner, whereas encoder feedback is used primarily for execution-state monitoring, contact/near-stall inference, and event-triggered termination of individual motors.
2.3.2. Control Strategy
Figure 8 presents the control block diagram of the proposed grasp execution strategy, which is organized as two coordinated paths: a forward command-execution path from grasp command to motor drive and hand–object interaction, and an encoder-informed feedback path involving reference comparison, contact/state detection, and per-finger stop logic for grasp completion and overdrive prevention. During the system calibration stage, repetitive no-load trials are performed to characterize the stable rotational behavior of each motor under the corresponding motion commands. This process sets a range of reference rotation for each motor in the absence of external disturbances. The reference range is then used in the control workflow to determine the joint behavior that is expected with ideal motion conditions to provide the foundation for the reference speed model
and reference rotation range
for the free motion phase. On this basis, the execution process is organized into a free-motion state, in which motor behavior is expected to remain close to the calibrated reference, and a contact-affected state, in which deviations from the reference are used to trigger termination decisions. Accordingly, the forward path is responsible for carrying out the commanded grasp motion, whereas the feedback path supervises state transitions relative to the calibrated reference and determines whether motor-specific intervention is required.
During operation, the embedded controller actuates the designated motors according to commands it receives while continuously sampling encoder feedback to estimate the motor angular velocity . Regardless of the engagement of the fingers, the rotational state of each motor is constantly updated under encoder feedback constraints.
During free motion, encoder feedback remains close to the calibrated reference behavior, and the corresponding motors continue their commanded rotation toward the reference rotation range. Once external contact restricts joint motion, the motor rotational state departs from the reference behavior. In the present strategy, this deviation is used not for continuous force regulation, but for execution-state inference; in particular, it appears as a pronounced decay of relative to and serves as the main basis for contact-related termination decisions. Accordingly, the proposed strategy should be understood not as purely open-loop execution, nor as continuous closed-loop regulation of grasp interaction variables, but as command-driven grasp execution under encoder-informed supervisory feedback.
Based on these observations, the embedded controller calculates contact states by observing motor speed patterns. When the rotational speed decreases quickly within a short period of time and becomes close to zero, the finger is said to be rigidly blocked. This criterion may be written as:
In this case, in an established time interval, the rotational velocity is much slower than during the free-motion period but not equal to zero, and the finger is said to be in contact with a deformable body. This criterion may be stated as follows:
where
denotes the relative drop threshold and
represents the lower bound for a non-zero speed. In both cases, the drive output of the corresponding motor is terminated, and the current rotational state is recorded.
During coordinated multi-motor operation, the state of each motor is determined independently. Once a motor reaches its reference rotation range or a contact decision is triggered, its actuation is stopped, while the others keep on going according to their respective rotational states. This approach allows a coordinated multi-finger closing process that automatically adapts to different contact conditions. Accordingly, the coordinated grasping process is not governed by a single global stopping condition or by continuous interaction-variable regulation, but by encoder-informed supervisory feedback with event-triggered termination at the level of individual motor channels.
4. Discussion
This paper is dedicated to lightweight design and engineering feasibility and presents a multi-DOF biomimetic prosthetic hand driven by six motors. Its functional performance is systematically validated by experiments on hand-posture reproduction and grasping. Unlike multi-finger hands that mainly seek a high DOF or rely on a complex sensor-based closed-loop control, the present work focuses on effective coverage of daily functional hand states under constraints on the number of actuators and system complexity, by means of a deliberate integration of the mechanical structure and control strategy. The following discussion is organized according to the experimental findings, with special emphasis on posture reproduction, grasp-formation mechanisms and comparisons with existing prosthetic-hand systems.
4.1. Relationship Between Posture-Reproduction Results and Joint-Coupling Structure
A key question in posture reproduction is whether, given a limited actuation budget, the system will still be able to achieve a sufficiently rich set of functionally distinguishable hand configurations. Within the GRASP taxonomy framework proposed by Feix et al., the proposed prosthetic hand spans the three grasp families (Power, Intermediate, and Precision), cross-category distributions in thumb posture (abducted/adducted) and opposition/contact form (palm/pad/side). Rather than reducing to a single enveloping closure pattern, the resulting repertoire covers multiple grasp configurations with differences in opposition location, contact organization, and finger participation.
This level of coverage is closely related to the design of the joint coupling architecture. Prior studies of synergies and posture statistics of human hands have suggested that functional hand states in daily activities tend to be clustered around a few low-dimensional synergy modes, which may be well represented by a limited number of control variables [
45,
46,
47,
48]. The adopted organization embeds part of these synergy relationships mechanically: the MCP joint provides the primary closing stroke and energy input, while the PIP/DIP joints allow contact-dependent flexion allocation under the combined effects of tendon-length constraints and external contact forces. As a result, multiple stable grasp configurations remain reachable under low-dimensional inputs. The simultaneous presence of Power and Precision grasps in the taxonomy indicates that the proposed architecture preserves differentiated closure behaviors under object constraints: Power grasps are associated with multi-finger envelopment and sustained contact formation, whereas Precision grasps depend on localized opposition and contact-region organization. Compliance induced by underactuated coupling after contact promotes robust formation of enveloping configurations across object geometries, whereas finer opposition and clamping configurations demand higher demands on thumb-posture adjustment.
In this context, the two-DOF thumb configuration plays a key role in grasp-type differentiation. Thumb adduction and pronation allow for adjustable DOF in opposition-point placement and clam-plane formation, which allows the system to implement stable constraints in palm-dominated enveloping grasps, as well as to realize pad-dominated pad-to-pad pinches and side-dominated lateral clamps. Accordingly, cross-dimensional coverage in the GRASP taxonomy with respect to thumb posture and opposition form can be seen as a direct manifestation of the combined effect of “thumb posture DOFs + four-finger underactuated envelopment”: the long fingers deliver sustained closure and envelopment capability, and the thumb delivers the geometric adjustment space needed for configuration differentiation. Together, they determine the reachable range and distribution of grasp types.
Compared with fully independently actuated multi-finger hands, such a coupled architecture has inherent limitations in joint-level fine control. Its advantage, however, is in embedding synergy relationships directly into the mechanism and tendon-routing design, which decreases the sensitivity of configuration formation to control inputs and allows for stable and functionally distinguishable configurations. Furthermore, compared to highly underactuated single-input synergistic structures (e.g., the SoftHand Pro), the proposed underactuation scheme keeps the number of actuators low while increasing the freedom of thumb-related configurational freedom, enabling opposition and lateral-clamping configurations to be expressed more explicitly within the repertoire [
47]. Overall, these structural choices translate the “low-dimensional synergy” principle of human hand function into an engineering-realizable configuration boundary: a high proportion of canonical grasp types is achieved with a limited actuation scale, while also providing a clear structural basis for expanding grasp types or incorporating higher-level control strategies within the same mechanical framework.
4.2. Grasping Results and Structure–Control Synergy
In the grasping experiments, the prosthetic hand was able to achieve stable grasps on regular objects (spheres and cylinders), irregular objects, and thin plate-like objects under representative modes, including the five-finger power grasp, tripod pinch, and lateral pinch. Variations in object size, shape, and weight were dealt with mostly by self-adjustments in multi-finger envelopment and contact-point distribution, and not by fine joint-level force regulation.
From the grasp category point of view, the results of research on the classification of the human hand and daily manipulation show that the five-finger power grasp, the tripod pinch and the lateral pinch are among the most common patterns in daily life and are widely used as bench-mark modes in the evaluation of prosthetic hands [
44,
49,
50,
51]. Accordingly, the current experiments were designed around these three modes and show that even with limited actuation, stable grasp configurations can be achieved through coordinated multi-finger envelopment and underactuated joint coupling.
Structurally, the relatively high overall DOFs and multi-finger coordination allow phalangeal postures to be passively adjusted after contact to accommodate geometric variations. Building on this mechanically embodied adaptability, the control strategy mainly manages the grasping process and performs state determination. Grasp termination is initiated by encoder-derived changes in motor rotation, recognizing motion-constrained states following contact and preventing mechanical loading of the system due to continued drive. While not designed to allow fine-grained force modulation, this strategy is complementary to the underactuated envelopment capability, allowing robust grasp stability in limited sensing conditions. The present evaluation focuses primarily on grasp-type coverage, configuration formation, and grasp-behavior consistency under constrained actuation and sensing. Although the measured peak single-finger driving force provides a basic indication of local output capability, it does not constitute a direct quantification of whole-hand grasp force, payload, or load-dependent grasp success. Accordingly, the current results are more appropriately interpreted as evidence of functional grasp formation under lightweight constraints than as a complete characterization of strength-related performance. More systematic evaluation of pinch force, whole-hand grasp force, and payload-dependent success remains an important direction for future work.
4.3. Comparison with Representative Prosthetic-Hand Systems
A comparison among current prosthetic-hand design routes emerges when shifting the evaluation from structural descriptors alone to the relation between wearable mass and retained grasp repertoire. In this context, the proposed prototype is compared with representative research and commercial prosthetic hands in a weight–grasp space, as shown in
Figure 15. The selected examples cover lightweight research platforms and established multi-grasp commercial systems, including the Yale MyoAdapt Hand [
41], the Bennett Hand [
43], the bebionic medium [
52], HandBot-Kid [
53], and the Michelangelo Hand [
54]. Within this comparison, the more informative distinction lies in how representative grasp differentiation is retained under different mass budgets and design allocations, rather than in actuator number or nominal degrees of freedom alone.
The distribution in
Figure 15 suggests that existing systems generally follow different trade-off paths. Some research-oriented hands maintain relatively low mass but support only a limited number of grasp patterns, as in the Yale MyoAdapt Hand [
41], whereas other designs expand grasp provision at the cost of markedly increased system mass, as represented by the Bennett Hand [
43] and the bebionic medium [
52]. Commercial multi-grasp systems such as the Michelangelo Hand and bebionic provide mature grasp repertoires, but this is typically accompanied by a heavier integrated hand-level package. HandBot-Kid occupies an intermediate position, showing that increased grasp diversity can also be approached within a lighter platform, although under a different structural scale and application background. Against this backdrop, the proposed prototype remains in a distinctly lower-mass region while retaining a comparatively broader reported grasp repertoire.
This positioning is consistent with the design logic introduced in
Section 1. Recent studies have enlarged prosthetic hand capability through substantially different routes, including increasing articulated mechanical complexity, reducing user burden by multimodal sensing and semi-autonomous execution, or uniformly simplifying the hand toward basic opening–closing functions or a small set of preset patterns. The present study adopts a different allocation strategy. Mechanical simplification is concentrated on the four-finger side through tendon-coupled underactuated closure, while thumb-side geometric adjustment is deliberately retained as the principal source of grasp-type differentiation. This differentiated allocation allows representative precision and conformal grasps to be preserved without extending actuation count or introducing richer sensing loops, which is also in line with prior observations that thumb orientation and actuation play a decisive role in the realization of representative grasp forms, especially tripod and lateral grasps, and that selectively differentiated drive allocation can be more effective than uniform simplification when both grasp diversity and structural compactness must be maintained.
It should also be noted that the reported mass of the proposed prototype refers to the hand body itself. At the present stage, the system has not yet incorporated wrist components, a coupling chamber, battery packaging, or full wearable integration. In contrast, the reference systems used for comparison are largely reported as more integrated hand-level products or prototypes, and their masses therefore reflect a broader hardware scope. The present comparison should thus be interpreted as a hand-level design positioning focused on the relation between intrinsic hand mass and retained grasp repertoire, rather than as a fully system-equivalent evaluation. Even with this boundary acknowledged, the current hand body accounts for only 176.6 g, leaving substantial mass margin for subsequent integration.
Taken together, the distinction of the proposed hand lies not simply in achieving a lower weight or a larger number of grasp patterns in isolation, but in how these two attributes are obtained simultaneously. The contribution of this work is therefore better understood as a selective under-actuation route for retaining representative grasp diversity in a lightweight, sensor-minimal prosthetic hand, rather than as a direct pursuit of maximum dexterity or minimum mass alone.
4.4. System-Level Considerations for Future Development
The present study focuses on the hand-level design and validation of a lightweight multi-finger prosthetic hand, with emphasis on actuation allocation, tendon-driven underactuated transmission, and encoder-based grasp execution under constrained hardware conditions. In subsequent development, the hand will need to be extended from a laboratory prototype to a wearable prosthetic system through further system-level integration. At the same time, the compact hand-level architecture was chosen to leave room for subsequent integration of wrist, socket-side, and packaging components at the system level.
This transition from prototype validation to system-level deployment also requires a broader interpretation of performance beyond the current hand-level evidence. At present, the reported results mainly verify representative grasp formation, configuration consistency, and execution stability under lightweight and sensor-minimal conditions. In this context, the measured peak single-finger output should be regarded as a localized indication of actuator-side capability rather than a complete descriptor of practical grasp strength at the system level, which further depends on contact distribution, inter-finger coordination, object properties, and loading conditions during grasping. Accordingly, metrics such as pinch force, whole-hand grasp force, payload capacity, and load-dependent grasp robustness should be considered important targets in the next stage of system-level evaluation.
One important direction concerns onboard power supply. In a wearable implementation, battery placement will need to be considered together with mass distribution, distal inertia, and wearing comfort. Rather than integrating the battery entirely within the hand, a more practical solution is to coordinate battery location with the forearm, wrist, or socket-side layout, so that power supply, packaging, and overall weight distribution can be addressed jointly. Under this system-level design framework, the final battery configuration and its associated mass will be determined together with the required operating duration and overall wearable architecture. Accordingly, battery mass is not reported here as a fixed hand-level parameter.
Further development from the present hand-level prototype toward a wearable prosthetic system will require staged progression. The first step is system-level integration, including the socket interface, wrist module, and complete electromechanical packaging. On this basis, the next step is user-oriented validation, which includes user-specific fitting, long-term durability, and safety assessment under repeated use conditions. A further stage concerns eventual translation beyond the laboratory setting, including the engineering and evaluation work needed for clinical deployment and regulatory compliance. Together, these steps define the main development path from the current prototype to a practically deployable prosthetic system.
5. Conclusions
This work examines the structural design, transmission organization, and sensor-free control strategy for a lightweight, underactuated multi-finger prosthetic hand, and presents a prototype featuring 14 joint DOFs using six miniature motors. Structurally, the four fingers use active MCP actuation coupled with underactuated PIP/DIP coupling, while the thumb has two active DOFs to increase the opposition capability and expand the posture-adjustment workspace. At the transmission level, length constraint relationships between active and passive tendons are constructed, and an equal stroke actuation structure is proposed to reduce tendon slack and stroke inconsistency, improving the stability of multi-joint synergistic flexion. At the control level, a layered architecture based on the STM32F767 microcontroller and encoder feedback is developed, as well as a grasp termination strategy using a combination of reference rotation range constraints and speed decay-based contact detection. This approach provides independent per-motor termination, overdrive protection and reliable grasp formation without the need for force or tactile sensing.
Experimental results show that the total mass of the proposed prosthetic hand is 176.6 g and the peak single-finger driving force is about 2.8 N. Regarding grasp function reproduction, using the GRASP taxonomy proposed by Feix et al., the prototype grasps successfully reproduce all three grasp families (Power, Intermediate, and Precision) and span the key configuration dimensions, including thumb abduction/adduction and palm–pad–side opposition/contact forms. These findings indicate the ability of the system to accomplish action library-level functional coverage, under a limited actuation budget. In task-level validation, the hand successfully performs three representative grasp modes, the five-finger power grasp, tripod pinch and lateral pinch, while forming stable grasp configurations on objects with diverse geometries. Regular objects are grasped with continuous envelopment and distributed multi-point contacts; complex objects give asymmetric but stable adaptive contact distributions; and for geometrically identical objects under different loading, the grasp configuration is consistent. Overall, without the need for complex sensing subsystems such as force or tactile sensors, this study shows an interpretable synergy between underactuated structural organization, equal-stroke tendon transmission and encoder-feedback-based termination control. The proposed framework establishes a reproducible engineering route for coordinating structural allocation, tendon transmission, and grasp-termination control in lightweight multi-finger prosthetic hands and supports the implementation of broad grasp-type coverage under constrained actuation and sensing. The reported results consistently support a functional organization composed of coordinated four-finger closure, post-contact adaptive redistribution, and thumb-mediated grasp differentiation. These results indicate that, under simultaneous constraints on weight, actuation, and sensing, grasp diversity is influenced not only by mechanical allocation across digits, but also by how the resulting hand is executed and stabilized. In the present design, the retention of thumb-side geometric adjustment, together with selective underactuation of the four fingers and encoder-informed sensor-minimal execution, forms the basis for preserving representative grasp differentiation. More broadly, the study suggests that, for lightweight prosthetic hands operating under limited sensing, preserving representative grasp differentiation depends less on maximizing articulation everywhere than on selectively retaining the structural and execution-related factors that most strongly shape opposition and grasp completion.
It should be noted that the proposed control strategy focuses primarily on reliable termination of the grasp and overdrive prevention and does not yet provide closed-loop regulation of the grasp force, slip or fine manipulation. Instead, encoder feedback is used here to support execution-state monitoring and event-triggered motor termination during grasp formation under underactuated contact conditions. Additionally, because of underactuated coupling and nonlinearities associated with the tendons, accurate joint-level angle measurement and error quantification need to be further improved. Future work will focus on advancing wearable integration and supporting more demanding tasks by establishing joint-level repeatability metrics using vision-based methods or higher-resolution observation as well as exploring information fusion, such as combining motor-current signatures with simplified tactile sensing, to enhance grasp stability and fine manipulation capabilities without substantially increasing system complexity. These developments will be followed by validation in dynamic tasks and long-duration reliability situations that are similar to real-world use.