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Keywords = H-infinity control

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35 pages, 3408 KB  
Case Report
The PATH Protocol for Integrated Facial Rejuvenation: A Preliminary Three-Patient Case Report Series and Narrative Review of the Literature
by Enrica Filigheddu, Luigi Sardellitti, Manuela Astrid Chessa, Edoardo Filigheddu, Alessio Pirino and Egle Patrizia Milia
Reports 2026, 9(3), 282; https://doi.org/10.3390/reports9030282 - 25 Aug 2026
Viewed by 496
Abstract
Background and Clinical Significance: Facial aging is a multifactorial process involving the skin, subcutaneous tissues, facial fat compartments, muscles, ligaments, and skeletal structures. Integrated minimally invasive protocols are increasingly used to improve facial harmony and skin quality while preserving natural expression. The PATH [...] Read more.
Background and Clinical Significance: Facial aging is a multifactorial process involving the skin, subcutaneous tissues, facial fat compartments, muscles, ligaments, and skeletal structures. Integrated minimally invasive protocols are increasingly used to improve facial harmony and skin quality while preserving natural expression. The PATH (Profundity, Action, Timing, and Home care) protocol combines chemical peeling, hyaluronic acid–succinate filler, intradermal biorevitalization, and post-procedural homecare in a sequential and individualized approach to facial rejuvenation; Case Presentation: Three female patients aged 52–58 years with clinical signs of facial aging were treated according to the PATH protocol. Assessments were performed at baseline and after 60 days using standardized photography, OBSERV 520®, Antera 3D PRO®, and QuantifiCare LifeViz® Infinity Pro. No serious adverse events or systemic complications were reported during the 60-day follow-up period. Mild edema, erythema, and ecchymosis resolved spontaneously within 48–72 h. At 60 days, all patients showed natural improvement in facial appearance, with better midface and lower-face balance, increased skin brightness, improved texture, and no overcorrection or alteration of facial expression. Instrumental evaluations supported the clinical findings, showing improvements in skin regularity, chromatic uniformity, microrelief, and soft-tissue distribution; Conclusions: This preliminary case series suggests that the PATH protocol may represent a coherent multimodal strategy for integrated facial rejuvenation. The main clinical lesson is that a sequential, depth-oriented, and individualized approach may achieve natural aesthetic improvement. No serious adverse events were reported in the three patients during the 60-day follow-up period; however, the limited sample size and short follow-up do not allow definitive conclusions regarding safety. Further controlled studies with larger samples and longer follow-up are needed to confirm these exploratory findings. Full article
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22 pages, 9998 KB  
Article
Adaptive Weighted Multi-Objective Control of a Motor-Driven Active Seat Suspension with Input Delay
by Hao Lu, Xiang Zhu, Yang Wu and Jian Chen
Appl. Sci. 2026, 16(13), 6516; https://doi.org/10.3390/app16136516 - 30 Jun 2026
Viewed by 361
Abstract
Active seat suspensions are a potential approach for reducing vertical vibration exposure in vehicle and construction-machinery seats. In most existing studies on active seat-suspension control, acceleration signals are rarely used as direct feedback because of their high noise sensitivity. However, acceleration can be [...] Read more.
Active seat suspensions are a potential approach for reducing vertical vibration exposure in vehicle and construction-machinery seats. In most existing studies on active seat-suspension control, acceleration signals are rarely used as direct feedback because of their high noise sensitivity. However, acceleration can be measured at low cost and directly reflects ride comfort, which makes it attractive for prototype-level vibration control. This paper proposes an acceleration-feedback-based adaptive weighted control strategy for a motor-driven active seat-suspension prototype with input delay. A 2-DOF driver-seat model is employed to describe the dominant vertical dynamics. An auxiliary virtual state variable is introduced to embed a deformation-dependent weighting mechanism into the control objective, allowing the controller to coordinate ride-comfort improvement and suspension-stroke safety according to real-time suspension deformation. Based on the Linear Matrix Inequality (LMI) method, a state-feedback H-infinity controller is synthesized while considering actuation delay and input saturation. The stability of the controlled system is proved under the stated model assumptions, and the controller performance is examined through numerical simulation and laboratory prototype experiments. The acceleration transmissibility from the vibration-platform floor to the driver is evaluated experimentally in the frequency domain, and random-excitation responses are investigated through both simulation and experimentation. The results show that the proposed strategy can reduce the dominant vibration responses and satisfy the imposed stroke and actuation constraints on the laboratory test rig. Full article
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22 pages, 9740 KB  
Article
Precise Control of MIMO Motion Under the Torque Disturbances of the Gap Flow Field
by Jin Luo, Xiaodong Ruan, Jing Wang, Rui Su and Liang Hu
Actuators 2026, 15(5), 262; https://doi.org/10.3390/act15050262 - 3 May 2026
Viewed by 599
Abstract
The control of multiple-input–multiple-output (MIMO) motion under a mesoscale gap flow field has important applications. A wideband time-varying disturbance is caused on the control object due to the flow field; in particular, when the control object moves horizontally, the flow field is introduced [...] Read more.
The control of multiple-input–multiple-output (MIMO) motion under a mesoscale gap flow field has important applications. A wideband time-varying disturbance is caused on the control object due to the flow field; in particular, when the control object moves horizontally, the flow field is introduced relative to the centroid changes and torque disturbance. The torque disturbance and inter-axis coupling effect of MIMO control make achieving submicron level accuracy a significant challenge when using traditional control methods. This study adopts a MIMO system identification method based on closed-loop control to identify plants under the gap flow field and subsequently proposes a composite hierarchical disturbance rejection and decoupling control method. First, we combine the nominal control decoupling matrix and feedback compensation correction method to decouple the MIMO system. Second, we design a disturbance rejection control approach based on Disturbance Observer Control (DOBC) and H-infinity (H) control. Ultimately, the proposed method achieves submicron-level accuracy, comprising an important advance toward solving the control problem for semiconductor equipment. Full article
(This article belongs to the Section Control Systems)
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24 pages, 2997 KB  
Article
A Controllability-Based Reliability Framework for Mechanical Systems with Scenario-Driven Performance Evaluation
by Daniel Osezua Aikhuele and Shahryar Sorooshian
Appl. Syst. Innov. 2026, 9(4), 72; https://doi.org/10.3390/asi9040072 - 27 Mar 2026
Viewed by 1308
Abstract
In classical reliability engineering, failure is a probabilistic structural failure based on lifetime distributions of Weibull models. However, in the control-critical mechanical systems, it is possible that functional failure of the system happens before material failure occurs as a result of control power [...] Read more.
In classical reliability engineering, failure is a probabilistic structural failure based on lifetime distributions of Weibull models. However, in the control-critical mechanical systems, it is possible that functional failure of the system happens before material failure occurs as a result of control power loss. This paper proposes a Controllability–Reliability Coupling (CRC) model, which redefines the concept of reliability as the stabilizability in the face of progressive degradation. The actuators’ deterioration is modeled using the time-varying input effectiveness factor α(t), and the actuator is said to be in failure when the minimum singular value of the finite-horizon controllability Gramian becomes less than a stabilizability threshold ε. The performance of the simulation indicates that the functional failure is a precursor of structural failure in several degradation conditions. A baseline comparison shows that the CRC metric forecasts loss of controllability at TCRC=17.0 s, but the classical Weibull reliability never attains the structural failure threshold even in the time horizon of 20 s. The system retains margins of Lyapunov stability and H infinity robustness are not lost, and it is still stable and attenuates disturbances even when control authority is lost. In practical degradation scenarios, the forecasted CRC failure times are 21.5 s (linear wear), 13.1 s (accelerated fatigue), 23.7 s (intermittent faults), and 24.4 s (shock damage), whereas maintenance recovery abated functional failure completely. In a case study of an industrial robotic joint, at 27.0 s, functional collapse occurred, and at the same time, structural reliability was still above the failure threshold. The findings support the hypothesis that structural survival and functional controllability are distinct concepts. The proposed CRC framework is an approach to control-conscious reliability measure, which can detect early failures and offer proactive maintenance advice in the context of a cyber–physical system. Full article
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21 pages, 1371 KB  
Article
H Control for Walking Robots Robust to the Bounded Uncertainties in the State and the Model
by Ahmad Aldaher and Sergei Savin
Robotics 2026, 15(4), 67; https://doi.org/10.3390/robotics15040067 - 25 Mar 2026
Viewed by 1171
Abstract
In recent years, we have seen a constant increase in the capabilities of walking robots, leading to early cases of their practical use, and a much broader application is expected in the near future. However, creating a robust control design (in the presence [...] Read more.
In recent years, we have seen a constant increase in the capabilities of walking robots, leading to early cases of their practical use, and a much broader application is expected in the near future. However, creating a robust control design (in the presence of disturbances and model uncertainties) for walking robots still remains a challenge. One challenging source of uncertainty is the combination of the contact constraints and the lack of full state information, which can potentially lead to an offset (a steady-state error) in the robot’s position, interfering with tasks requiring high accuracy and deteriorating the overall performance of the robot. This is further exacerbated by the presence of multiplicative model uncertainties, common to mobile robots. In this work, we introduce an H control formulation designed to attenuate this type of disturbance. The proposed method can handle norm-bounded multiplicative uncertainties in the state, control, and disturbance matrices using a full-state static feedback control. The resulting control design procedure is a single semidefinite program which provides a large computational advantage over the alternative dynamic feedback controller methods. We demonstrate the effectiveness of the method in comparison with the alternative formulations in simulation. We demonstrate that the method can be effectively tuned using a regularization term in the cost function. We show that the upper bounds on the H gain of the closed-loop system can be effectively tightened post control design. Full article
(This article belongs to the Section Sensors and Control in Robotics)
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16 pages, 940 KB  
Article
Leader-Following Consensus of One-Sided Lipschitz Multi-Agent Systems with Delay and Stochastic Perturbation
by Tuo Zhou
Axioms 2026, 15(3), 240; https://doi.org/10.3390/axioms15030240 - 23 Mar 2026
Viewed by 528
Abstract
This paper is concerned with the leader-following consensus of time-delay multi-agent systems (MASs) with stochastic perturbation over a directed network. Different from existing literature subject to the conventional Lipschitz condition, the one-sided Lipschitz nonlinear MASs with delay are discussed. First, to address the [...] Read more.
This paper is concerned with the leader-following consensus of time-delay multi-agent systems (MASs) with stochastic perturbation over a directed network. Different from existing literature subject to the conventional Lipschitz condition, the one-sided Lipschitz nonlinear MASs with delay are discussed. First, to address the challenge, in combination with current and delay information, the composite control law is constructed. By employing the Lyapunov function and using the Itô formula, this proves that the followers can eventually track the leader. Second, in the presence of external disturbance, sufficient conditions are established for the H-infinity leader-following consensus of one-sided Lipschitz nonlinear stochastic MASs. Further, the method to handle the one-sided Lipschitz nonlinearities is directly applicable to the stochastic MASs with conventional Lipschitz nonlinear dynamics, and the corresponding results are easily obtained. Finally, the relationship between one-sided Lipschitz scalars and time-delay parameters are presented, and the simulation results are given to verify the theoretical algorithms. Full article
(This article belongs to the Section Mathematical Analysis)
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44 pages, 6460 KB  
Article
Experimental Investigation of Conventional and Advanced Control Strategies for Mini Drone Altitude Regulation with Energy-Aware Performance Analysis
by Barnabás Kiss, Áron Ballagi and Miklós Kuczmann
Machines 2026, 14(1), 98; https://doi.org/10.3390/machines14010098 - 14 Jan 2026
Cited by 1 | Viewed by 1458
Abstract
The energy efficiency and hover stability of unmanned aerial vehicles are critical factors, since improper battery utilization and unstable control are major sources of operational failures and accidents. The proportional–integral–derivative (PID) controller, which is applied in approximately 97% of multirotor unmanned aerial vehicle [...] Read more.
The energy efficiency and hover stability of unmanned aerial vehicles are critical factors, since improper battery utilization and unstable control are major sources of operational failures and accidents. The proportional–integral–derivative (PID) controller, which is applied in approximately 97% of multirotor unmanned aerial vehicle (UAV) systems, is widely used due to its simplicity; however, it is sensitive to external disturbances and often fails to ensure optimal energy utilization, resulting in reduced flight time. Therefore, the experimental investigation of advanced control methods in a real physical environment is well justified. The objective of the present research is the comparative evaluation of seven control strategies—PID, linear quadratic controller with integral action (LQI), model predictive control (MPC), sliding mode control (SMC), backstepping control, fractional-order PID (FOPID), and H∞ control—using a single-degree-of-freedom drone test platform in a MATLAB R2023b-Arduino hardware-in-the-loop (HIL) environment. Although the theoretical advantages and model-based results of the aforementioned control methods are well documented, the number of real-time comparative HIL experiments conducted under identical physical conditions remains limited. Consequently, only a small amount of unified and directly comparable experimental data is available regarding the performance of different controllers. The measurements were performed at a reference height of 120 mm under disturbance-free conditions and under wind loading with a velocity of 10 km/h applied at an angle of 45°. The controller performance was evaluated based on hover accuracy, settling time, overshoot, and real-time measured power consumption. The results indicate that modern control strategies provide significantly improved energy efficiency and faster stabilization compared to the PID controller in both disturbance-free and wind-loaded test scenarios. The investigations confirm that several advanced controllers can be applied more effectively than the PID controller to enhance hover stability and reduce energy consumption. Full article
(This article belongs to the Section Robotics, Mechatronics and Intelligent Machines)
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23 pages, 3652 KB  
Article
Vibration Control of a Two-Link Manipulator Using a Reduced Model
by Amir Mohamad Kamalirad and Reza Fotouhi
Vibration 2025, 8(4), 58; https://doi.org/10.3390/vibration8040058 - 1 Oct 2025
Cited by 1 | Viewed by 1831
Abstract
This research aims to actively suppress vibrations at the end-effector of a flexible manipulator. When configured in a locked state, the system behaves as a two-link manipulator subjected to disturbances on the first link. To analyze its behavior, Finite Element Analysis (FEA) is [...] Read more.
This research aims to actively suppress vibrations at the end-effector of a flexible manipulator. When configured in a locked state, the system behaves as a two-link manipulator subjected to disturbances on the first link. To analyze its behavior, Finite Element Analysis (FEA) is employed to extract the natural frequencies (eigenvalues) and corresponding mode shapes (eigenvectors) of a two-link, two-joint flexible manipulator (2L2JM). The obtained eigenvectors are transformed into uncoupled state-space equations using balanced realization and the Match-DC-Gain model reduction algorithm. An H-infinity controller is then designed and applied to both the full-order and reduced-order models of the manipulator. The objective of this study is to validate an analytical framework through FEA, demonstrating its applicability to complex manipulators with multiple joints and flexible links. Given that the full state-space representation typically results in high-dimensional matrices, model reduction enables effective vibration control with a minimal number of states. The derivation of the 2L2JM state space, its model reduction, and a subsequent control strategy have not been previously addressed in this manner. Simulation results showcasing vibration suppression of a cantilever beam are presented and benchmarked against two alternative modeling approaches. Full article
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19 pages, 4536 KB  
Article
Design and Analysis of Hardware Acceleration for Semi-Physical Simulation of Ground-Based Drag-Free Control
by Ao Li, Wenze Wan, Yipeng Cao, Lufan Xie, Di Liu, Jin Yang, Mingzhong Pan and Pengcheng Wang
Symmetry 2025, 17(9), 1495; https://doi.org/10.3390/sym17091495 - 9 Sep 2025
Viewed by 1342
Abstract
To meet the in-orbit performance verification requirements of a drag-free control system for gravitational wave detection satellites, this study develops a ground simulation platform using the H-infinity (H) control method in Simulink. The FPGA implementation accelerates the core algorithm of [...] Read more.
To meet the in-orbit performance verification requirements of a drag-free control system for gravitational wave detection satellites, this study develops a ground simulation platform using the H-infinity (H) control method in Simulink. The FPGA implementation accelerates the core algorithm of drag-free control. A frequency-domain linear robust control design is employed, with a frequency pre-warped bilinear transformation method used to discretize the multi-degree-of-freedom controller. The established control system model includes 18 degrees of freedom, with 12 from the dual test masses (TM) and 6 from the satellite body. The two test masses are spatially arranged in a symmetric configuration, and their control structure also exhibits symmetry. A rapid reconfigurable hardware architecture is utilized, and the Vitis Model Composer tool is employed to efficiently translate the Simulink algorithm model into hardware description language, reducing the processing delay of the core control algorithm to the nanosecond level. Through a 15-channel gradient test comparison, the FPGA platform maintains numerical equivalence with the Simulink platform (maximum error of 1013). Experimental results show that the hardware acceleration improves dynamic response speed by an order of magnitude, achieving position control accuracy of ±5 μm and attitude accuracy of ±10 μrad, with overall processing latency at the microsecond level. This method provides a reliable engineering validation approach for ultra-precision control systems in gravitational wave detection. Full article
(This article belongs to the Section F: Engineering and Materials)
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40 pages, 7578 KB  
Article
Guidance and Control Architecture for Rendezvous and Approach to a Non-Cooperative Tumbling Target
by Agostino Madonna, Giuseppe Napolano, Alessia Nocerino, Roberto Opromolla, Giancarmine Fasano and Michele Grassi
Aerospace 2025, 12(8), 708; https://doi.org/10.3390/aerospace12080708 - 10 Aug 2025
Cited by 3 | Viewed by 2498
Abstract
This paper proposes a novel Guidance and Control architecture for close-range rendezvous and final approach of a chaser spacecraft towards a non-cooperative and tumbling space target. In both phases, reference trajectory generation relies on a Sequential Convex Programming algorithm which iteratively solves a [...] Read more.
This paper proposes a novel Guidance and Control architecture for close-range rendezvous and final approach of a chaser spacecraft towards a non-cooperative and tumbling space target. In both phases, reference trajectory generation relies on a Sequential Convex Programming algorithm which iteratively solves a non-linear optimization problem accounting for propellant consumption, relative dynamics, collision avoidance and navigation sensor pointing constraints. At close range, trajectory tracking is entrusted to a translational H-infinity controller, coupled with a quaternion-feed-back regulator for target pointing. In the final approach phase, an attitude-pointing strategy is adopted, requiring a six degree-of-freedom H-infinity controller to follow a reference roto-translational trajectory generated to ensure target-chaser motion synchronization. Performance is evaluated in a high-fidelity simulation environment that includes environmental perturbations, navigation errors, and actuator (i.e., cold gas thrusters and reaction wheels) modelling. In particular, the latter aspects are also addressed by integrating the proposed solution within a complete Guidance, Navigation and Control pipeline including a state-of-the-art LIDAR-based relative navigation filter and a dispatching function for the distribution of commanded control actions to the actuation system. A statistical analysis on 1000 simulations shows the robustness of the proposed approach, achieving centimeter-level position accuracy and sub-degree attitude accuracy near the docking/berthing point. Full article
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17 pages, 892 KB  
Article
An Integrated Design of Course-Keeping Control and Extended State Observers for Nonlinear USVs with Disturbances
by Nianzhe Wu, Jianning Li and Ju Xiong
J. Mar. Sci. Eng. 2025, 13(5), 967; https://doi.org/10.3390/jmse13050967 - 16 May 2025
Cited by 23 | Viewed by 1381
Abstract
The integrated design problem of non-fragile controllers and extended state observers (ESOs) for nonlinear unmanned surface vehicles (USVs) under mismatched disturbances is addressed in this paper. First, an integrated model combining the USV system and the rudder system is developed, which includes a [...] Read more.
The integrated design problem of non-fragile controllers and extended state observers (ESOs) for nonlinear unmanned surface vehicles (USVs) under mismatched disturbances is addressed in this paper. First, an integrated model combining the USV system and the rudder system is developed, which includes a second-order underdamped system and a Norrbin nonlinear model incorporating uncertainties. Due to the coupling issues in the design of controllers and observers caused by parameter perturbations or other unmodeled dynamics, an integrated design method, which enables the simultaneous computation of controller gains, observer gains, and disturbance compensation gains, is proposed, effectively addressing these issues. Ultimately, the performance of the designed strategy is verified through a simulation, with the data used in the simulation derived from the real Qingshan USV. Full article
(This article belongs to the Section Ocean Engineering)
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21 pages, 3266 KB  
Article
Precision and Stability in Hydrostatic Transmissions with Robust H Control Under Parametric Uncertainties
by Santosh Kr. Mishra, Gyan Wrat, Prabhat Ranjan, Joseph T. Jose and Jayanta Das
J. Exp. Theor. Anal. 2025, 3(2), 14; https://doi.org/10.3390/jeta3020014 - 13 May 2025
Cited by 5 | Viewed by 2171
Abstract
Hydrostatic transmissions are essential in applications demanding variable torque and speed, such as mining and agricultural machinery, due to their compact design, high power-to-weight ratio, and efficient variable speed control. Despite these advantages, their inherent nonlinearities and susceptibility to parametric uncertainties pose significant [...] Read more.
Hydrostatic transmissions are essential in applications demanding variable torque and speed, such as mining and agricultural machinery, due to their compact design, high power-to-weight ratio, and efficient variable speed control. Despite these advantages, their inherent nonlinearities and susceptibility to parametric uncertainties pose significant challenges for precise motion control. This study presents a comparative analysis of classical PID and robust H-infinity controllers for regulating the speed of hydraulic motors under varying torsional loads. A linearized uncertain system model is developed using upper Linear Fractional Transformations (LFTs) to capture key parametric uncertainties. A simplified H-infinity controller is designed to robustly manage system dynamics, particularly addressing phase lags induced by uncertain loads. Simulation results demonstrate that the H-infinity controller offers superior performance over the PID controller in terms of stability, disturbance rejection, and robustness to load fluctuations. This work contributes a practically viable robust control solution for improving the reliability and precision of electro-hydraulic systems, particularly in demanding, real-world environments. Full article
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23 pages, 1797 KB  
Article
Robust Energy Management of Fuel Cell Hybrid Electric Vehicles Using Fuzzy Logic Integrated with H-Infinity Control
by Siddhesh Yadav and Francis Assadian
Energies 2025, 18(8), 2107; https://doi.org/10.3390/en18082107 - 19 Apr 2025
Cited by 12 | Viewed by 1789
Abstract
Battery longevity and hydrogen consumption efficiency are primary optimization goals for EMS in high-performance fuel cell hybrid electric vehicles (FCHEVs). This article provides an overview of an FCHEV powertrain and a hierarchical control scheme that includes low-level controllers for key components. Finally, a [...] Read more.
Battery longevity and hydrogen consumption efficiency are primary optimization goals for EMS in high-performance fuel cell hybrid electric vehicles (FCHEVs). This article provides an overview of an FCHEV powertrain and a hierarchical control scheme that includes low-level controllers for key components. Finally, a higher-level control architecture for power management combines a fuzzy logic controller with an H-infinity controller to ensure reliable power management. The aim is to enhance EMS performance and overall robustness to uncertainties by implementing the higher-level control architecture. The effectiveness of the proposed strategy is demonstrated through simulations in the MATLAB/SIMULINK 2024a environment. Full article
(This article belongs to the Special Issue Optimization and Control of Electric and Hybrid Vehicles)
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25 pages, 6316 KB  
Article
Stability and Control During Vertical Take-Off and Landing: The Impact of Aerodynamics
by Tudorel-Petronel Afilipoae, Pedro Simplicio, Samir Bennani and Hans Strauch
Aerospace 2024, 11(12), 1021; https://doi.org/10.3390/aerospace11121021 - 12 Dec 2024
Cited by 2 | Viewed by 3185
Abstract
Under the European Space Agency (ESA) support, INCAS has taken the initiative to develop an Ascent and Descent Autonomous Maneuverable Platform (ADAMP) which will serve as an in-flight testing platform for reusable space technologies. This paper is focusing on activities aimed at assessing [...] Read more.
Under the European Space Agency (ESA) support, INCAS has taken the initiative to develop an Ascent and Descent Autonomous Maneuverable Platform (ADAMP) which will serve as an in-flight testing platform for reusable space technologies. This paper is focusing on activities aimed at assessing the robustness of the control system of the ADAMP in the presence of aerodynamic disturbances, with an emphasis on stability and disturbance rejection. Considering the ADAMP’s inherent aerodynamic instability, the way aerodynamic forces and moments are incorporated in the control design formulation plays a critical role in the effectiveness of the adopted control solution in the presence of wind gusts and potential interaction with sloshing modes. To showcase these phenomena, two alternative control design methodologies are employed in the paper: the baseline strategy relies on robust self-scheduled structured H-Infinity optimization, while the second approach is based on nonlinear sliding mode theory. Different structured H-Infinity controllers are designed and analyzed in the frequency domain, providing a clear understanding of the impact of the aerodynamic effects in terms of stability margin degradation. These controllers are then thoroughly compared with the sliding mode alternative via nonlinear worst-case simulation of typical ascent and descent flights in the presence of strong wind gusts. Full article
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19 pages, 1524 KB  
Article
Robust Bumpless Transfer Control for Switched Systems with Unmatched Uncertainties Based on the Common Robust Integral Sliding Mode Under Arbitrary Switching Rules
by Xiaoyu Zhang, Shuiping Xiong and Rong Guo
Mathematics 2024, 12(22), 3504; https://doi.org/10.3390/math12223504 - 9 Nov 2024
Cited by 2 | Viewed by 1462
Abstract
In this paper, a robust bumpless transfer control scheme for tracking control is proposed to avoid large jumps in the control signals for a switched system (SS) with unmatched uncertainty and disturbance. The robust bumpless controller comprises a robust linear feedback control (RLFC) [...] Read more.
In this paper, a robust bumpless transfer control scheme for tracking control is proposed to avoid large jumps in the control signals for a switched system (SS) with unmatched uncertainty and disturbance. The robust bumpless controller comprises a robust linear feedback control (RLFC) and a continuous sliding mode control (CSMC) based on the given robust integral sliding mode (RISM). The RLFC meets the requirement of bumpless indices, and the CSMC suppresses the unmatched uncertainty and disturbance. First, the RLFC design is proposed, and the linear feedback coefficients satisfy the bumpless indices, despite the uncertainty and disturbance. Then, a RISM surface design is proposed, in which the uncertain SS satisfies the given H-infinity robust performance index, and can resist the unmatched uncertainty. Consequently, the CSMC ensures that the RISM surface can be reached in finite time from the initial time instant. By composing the CSMC with the RLFC, the control scheme achieves the robust trajectory tracking and the suppression of the control signal bumps during switching. Finally, the proposed robust bumpless transfer control scheme was applied to the different examples, and the simulation results verified its effectiveness. Full article
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