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Keywords = abrupt command

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21 pages, 2930 KB  
Article
Robust Model Predictive Control with a Dynamic Look-Ahead Re-Entry Strategy for Trajectory Tracking of Differential-Drive Robots
by Diego Guffanti, Moisés Filiberto Mora Murillo, Santiago Bustamante Sanchez, Javier Oswaldo Obregón Gutiérrez, Marco Alejandro Hinojosa, Alberto Brunete, Miguel Hernando and David Álvarez
Sensors 2026, 26(2), 520; https://doi.org/10.3390/s26020520 - 13 Jan 2026
Viewed by 295
Abstract
Accurate trajectory tracking remains a central challenge in differential-drive mobile robots (DDMRs), particularly when operating under real-world conditions. Model Predictive Control (MPC) provides a powerful framework for this task, but its performance degrades when the robot deviates significantly from the nominal path. To [...] Read more.
Accurate trajectory tracking remains a central challenge in differential-drive mobile robots (DDMRs), particularly when operating under real-world conditions. Model Predictive Control (MPC) provides a powerful framework for this task, but its performance degrades when the robot deviates significantly from the nominal path. To address this limitation, robust recovery mechanisms are required to ensure stable and precise tracking. This work presents an experimental validation of an MPC controller applied to a four-wheel DDMR, whose odometry is corrected by a SLAM algorithm running in ROS 2. The MPC is formulated as a quadratic program with state and input constraints on linear (v) and angular (ω) velocities, using a prediction horizon of Np=15 future states, adjusted to the computational resources of the onboard computer. A novel dynamic look-ahead re-entry strategy is proposed, which activates when the robot exits a predefined lateral error band (δ=0.05 m) and interpolates a smooth reconnection trajectory based on a forward look-ahead point, ensuring gradual convergence and avoiding abrupt re-entry actions. Accuracy was evaluated through lateral and heading errors measured via geometric projection onto the nominal path, ensuring fair comparison. From these errors, RMSE, MAE, P95, and in-band percentage were computed as quantitative metrics. The framework was tested on real hardware at 50 Hz through 5 nominal experiments and 3 perturbed experiments. Perturbations consisted of externally imposed velocity commands at specific points along the path, while configuration parameters were systematically varied across trials, including the weight R, smoothing distance Lsmooth, and activation of the re-entry strategy. In nominal conditions, the best configuration (ID 2) achieved a lateral RMSE of 0.05 m, a heading RMSE of 0.06 rad, and maintained 68.8% of the trajectory within the validation band. Under perturbations, the proposed strategy substantially improved robustness. For instance, in experiment ID 6 the robot sustained a lateral RMSE of 0.12 m and preserved 51.4% in-band, outperforming MPC without re-entry, which suffered from larger deviations and slower recoveries. The results confirm that integrating MPC with the proposed re-entry strategy enhances both accuracy and robustness in DDMR trajectory tracking. By combining predictive control with a spatially grounded recovery mechanism, the approach ensures consistent performance in challenging scenarios, underscoring its relevance for reliable mobile robot navigation in uncertain environments. Full article
(This article belongs to the Section Sensors and Robotics)
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24 pages, 7136 KB  
Article
Extended Kalman Filter-Enhanced LQR for Balance Control of Wheeled Bipedal Robots
by Renyi Zhou, Yisheng Guan, Tie Zhang, Shouyan Chen, Jingfu Zheng and Xingyu Zhou
Machines 2026, 14(1), 77; https://doi.org/10.3390/machines14010077 - 8 Jan 2026
Viewed by 348
Abstract
With the rapid development of mobile robotics, wheeled bipedal robots, which combine the terrain adaptability of legged robots with the high mobility of wheeled systems, have attracted increasing research attention. To address the balance control problem during both standing and locomotion while reducing [...] Read more.
With the rapid development of mobile robotics, wheeled bipedal robots, which combine the terrain adaptability of legged robots with the high mobility of wheeled systems, have attracted increasing research attention. To address the balance control problem during both standing and locomotion while reducing the influence of noise on control performance, this paper proposes a balance control framework based on a Linear Quadratic Regulator integrated with an Extended Kalman Filter (KLQR). Specifically, a baseline LQR controller is designed using the robot’s dynamic model, where the control input is generated in the form of wheel-hub motor torques. To mitigate measurement noise and suppress oscillatory behavior, an Extended Kalman Filter is applied to smooth the LQR torque output, which is then used as the final control command. Filtering experiments demonstrate that, compared with median filtering and other baseline methods, the proposed EKF-based approach significantly reduces high-frequency torque fluctuations. In particular, the peak-to-peak torque variation is reduced by more than 60%, and large-amplitude torque spikes observed in the baseline LQR controller are effectively eliminated, resulting in continuous and smooth torque output. Static balance experiments show that the proposed KLQR algorithm reduces the pitch-angle oscillation amplitude from approximately ±0.03 rad to ±0.01 rad, corresponding to an oscillation reduction of about threefold. The estimated RMS value of the pitch angle is reduced from approximately 0.010 rad to 0.003 rad, indicating improved convergence and steady-state stability. Furthermore, experiments involving constant-speed straight-line locomotion and turning indicate that the KLQR algorithm maintains stable motion with velocity fluctuations limited to within ±0.05 m/s. The lateral displacement deviation during locomotion remains below 0.02 m, and no abrupt acceleration or deceleration is observed throughout the experiments. Overall, the results demonstrate that applying Extended Kalman filtering to smooth the control torque effectively improves the smoothness and stability of LQR-based balance control for wheeled bipedal robots. Full article
(This article belongs to the Section Robotics, Mechatronics and Intelligent Machines)
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25 pages, 3536 KB  
Article
Generalized Predictive Control of Doubly Fed Variable-Speed Pumped Storage Unit
by Xiangyang Yu, Qianxi Zhao, Chunyang Gao, Lei Zhang, Yating Wu and Haipeng Nan
Energies 2025, 18(11), 2904; https://doi.org/10.3390/en18112904 - 1 Jun 2025
Cited by 2 | Viewed by 825
Abstract
With the increasing penetration of renewable energy, doubly-fed variable speed pumped storage units (DFVSPSUs) are playing an increasingly critical role in grid frequency regulation. However, traditional PI control struggles to address the control challenges posed by the strong nonlinearity of the units and [...] Read more.
With the increasing penetration of renewable energy, doubly-fed variable speed pumped storage units (DFVSPSUs) are playing an increasingly critical role in grid frequency regulation. However, traditional PI control struggles to address the control challenges posed by the strong nonlinearity of the units and abrupt operational condition changes. This paper proposes an improved β-incremental generalized predictive controller (β-GPC), which achieves precise rotor-side current control through instantaneous linearization combined with parameter identification featuring a forgetting factor. Simulation results demonstrate that under different power command step changes, the traditional PI controller requires up to approximately 0.48 s to reach a steady state while exhibiting a certain degree of oscillations. In contrast, the enhanced β-GPC controller can stabilize the unit in just 0.2 s without any overshoot or subsequent oscillations. It is evident that the proposed controller delivers a superior regulation performance, characterized by a shorter settling time, reduced overshoot, and minimized oscillations. Full article
(This article belongs to the Section A3: Wind, Wave and Tidal Energy)
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20 pages, 3099 KB  
Article
Dynamic Event-Triggered Prescribed Performance Robust Control for Aggressive Quadrotor Flight
by Zeliang Wu, Jianchuan Ye and Tao Song
Aerospace 2024, 11(4), 301; https://doi.org/10.3390/aerospace11040301 - 11 Apr 2024
Cited by 4 | Viewed by 2345
Abstract
Aggressive flight has become increasingly important for expanding the applications of quadrotors. The typical characteristic of large and rapid changes in commands poses stringent demands on the maneuverability of quadrotors. Ensuring flight stability alone is not enough; dynamic responses must also be selectively [...] Read more.
Aggressive flight has become increasingly important for expanding the applications of quadrotors. The typical characteristic of large and rapid changes in commands poses stringent demands on the maneuverability of quadrotors. Ensuring flight stability alone is not enough; dynamic responses must also be selectively constrained, presenting quadcopter flight control with daunting challenges. The prescribed performance control (PPC) method is seen as having the potential to solve this problem by allowing for the constrained control of specified performance, leading to extensive research. However, its practical application still faces challenges, such as the system divergence caused by errors exceeding boundaries due to sudden command mutations. This paper presents a robust dynamic event-triggered PPC (DETPPC) method for an aggressive quadrotor flight. By assessing the direction and proximity of tracking errors approaching constraint boundaries, a dynamic event-triggered compensation mechanism for performance function boundaries is established to mitigate the divergence caused by error surpassing and to preserve preset control over the targeted metrics. Controllers were designed for both the translational and rotational subsystems of the quadrotor, and stability analysis was conducted based on Lyapunov functions. Simulation tests on agile trajectory tracking and abrupt attitude control were carried out, demonstrating the effectiveness of the proposed method. Full article
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13 pages, 287 KB  
Article
Education-to-Work Transitions in Former Communist Countries after 30-Plus Years of Transformation
by Ken Roberts, Maria-Carmen Pantea and Dan-Cristian Dabija
Soc. Sci. 2024, 13(1), 25; https://doi.org/10.3390/socsci13010025 - 26 Dec 2023
Cited by 3 | Viewed by 3629
Abstract
This paper reviews how young people’s education-to-work transitions have changed since 1989 in former communist countries that have subsequently become full members of the European Union (EU). The sudden collapse of the command economies led to an equally abrupt breakdown in earlier routes [...] Read more.
This paper reviews how young people’s education-to-work transitions have changed since 1989 in former communist countries that have subsequently become full members of the European Union (EU). The sudden collapse of the command economies led to an equally abrupt breakdown in earlier routes into working life. Subsequently, the new independent states have reconstructed their education and training, and their market economies have developed. They now exhibit similar variations in rates of youth unemployment, progression through higher education, and mixtures of academic and vocational secondary education as older EU member states. However, there are features that continue to set all ex-communist countries apart, irrespective of whether they have become full EU members. These are low local rates of pay and westward migration. Its new member states have joined the Southern countries in a European periphery. Yet, there may be sufficient winners in the European core and periphery to keep Europe united. Full article
(This article belongs to the Section Work, Employment and the Labor Market)
12 pages, 975 KB  
Article
Cerebral Tissue Oxygen Saturation Correlates with Emergence from Propofol-Remifentanil Anesthesia: An Observational Cohort Study
by Jianxi Zhang, Zhigang Cheng, Ying Tian, Lili Weng, Yiying Zhang, Xin Yang, Michael K. E. Schäfer, Qulian Guo and Changsheng Huang
J. Clin. Med. 2022, 11(16), 4878; https://doi.org/10.3390/jcm11164878 - 19 Aug 2022
Cited by 3 | Viewed by 2444
Abstract
Anesthesia emergence is accompanied by changes in cerebral circulation. It is unknown whether cerebral tissue oxygen saturation (SctO2) could be an indicator of emergence. Changes in SctO2, bispectral index (BIS), mean arterial pressure (MAP), and heart rate (HR) were [...] Read more.
Anesthesia emergence is accompanied by changes in cerebral circulation. It is unknown whether cerebral tissue oxygen saturation (SctO2) could be an indicator of emergence. Changes in SctO2, bispectral index (BIS), mean arterial pressure (MAP), and heart rate (HR) were evaluated during the emergence from propofol-remifentanil anesthesia. At the time of cessation of anesthetic delivery, SctO2, BIS, MAP, and HR values were recorded as baseline. The changes of these parameters from the baseline were recorded as Δ SctO2, Δ BIS, Δ MAP, and Δ HR. The behavioral signs (body movement, coughing, or eye opening) and response to commands (indicating regaining of consciousness) were used to define emergence states. Prediction probability (Pk) was used to examine the accuracy of SctO2, BIS, MAP, and HR as indicators of emergence. SctO2 showed an abrupt and distinctive increase when appearing behavioral signs. BIS, MAP, and HR, also increased but with a large inter-individual variability. Pk value of Δ SctO2 was 0.97 to predict the appearance behavioral signs from 2 min before that, which was much higher than the Pk values of Δ BIS (0.81), Δ MAP (0.71) and Δ HR (0.87). The regaining of consciousness was associated with a further increase in the SctO2 value. Full article
(This article belongs to the Special Issue Anesthetic Management in Perioperative Period)
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26 pages, 5399 KB  
Article
Damping Optimum-Based Design of Control Strategy Suitable for Battery/Ultracapacitor Electric Vehicles
by Danijel Pavković, Mihael Cipek, Zdenko Kljaić, Tomislav Josip Mlinarić, Mario Hrgetić and Davor Zorc
Energies 2018, 11(10), 2854; https://doi.org/10.3390/en11102854 - 22 Oct 2018
Cited by 7 | Viewed by 4783
Abstract
This contribution outlines the design of electric vehicle direct-current (DC) bus control system supplied by a battery/ultracapacitor hybrid energy storage system, and its coordination with the fully electrified vehicle driveline control system. The control strategy features an upper-level DC bus voltage feedback controller [...] Read more.
This contribution outlines the design of electric vehicle direct-current (DC) bus control system supplied by a battery/ultracapacitor hybrid energy storage system, and its coordination with the fully electrified vehicle driveline control system. The control strategy features an upper-level DC bus voltage feedback controller and a direct load compensator for stiff tracking of variable (speed-dependent) voltage target. The inner control level, comprising dedicated battery and ultracapacitor current controllers, is commanded by an intermediate-level control scheme which dynamically distributes the upper-level current command between the ultracapacitor and the battery energy storage systems. The feedback control system is designed and analytical expressions for feedback controller parameters are obtained by using the damping optimum criterion. The proposed methodology is verified by means of simulations and experimentally for different realistic operating regimes, including electric vehicle DC bus load step change, hybrid energy storage system charging/discharging, and electric vehicle driveline subject to New European Driving Cycle (NEDC), Urban Driving Dynamometer Schedule (UDDS), New York Certification Cycle (NYCC) and California Unified Cycle (LA92), as well as for abrupt acceleration/deceleration regimes. Full article
(This article belongs to the Section D: Energy Storage and Application)
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