journal article·2025-12-30Open access

Hybrid Sliding Mode Control with Integral Resonant Control for Chattering Reduction in a 3-DOF Lower-Limb Exoskeleton Rehabilitation

Muktar Fatihu Hamza, Auwalu Muhammad Abdullahi, Abdulrahman Alqahtani, Nizar Rokbani

Applied Sciences· Volume 16· Issue 1

Abstract

Lower-limb exoskeletons have become an effective tool for gait rehabilitation by enabling precise and repetitive joint movements for individuals with motor impairments. Nevertheless, the nonlinear and uncertain nature of human–robot interaction dynamics requires effective control strategies that are both robust and smooth. Conventional sliding mode control (SMC) provides robustness against disturbances but, in effect, is prone to chattering, which can adversely cause mechanical vibrations and reduce user comfort. This paper proposes a novel hybrid sliding mode control integrated with integral resonant control (SMC + IRC), strategy addressing a gap in 3-DOF exoskeleton control where structural resonance and chattering mitigation are simultaneously required while maintaining robustness and trajectory accuracy. The IRC component in this work uses a resonant damping mechanism to filter high-frequency switching elements in the SMC signal, resulting in smoother actuator torques without compromising system stability, robustness or responsiveness. The proposed control framework here is implemented on a lower-limb exoskeleton with hip, knee, and ankle joints and compared to classical SMC and Super-Twisting SMC (STSMC) methods. Upon simulation, results showed that the SMC + IRC approach significantly reduces chattering as well as produces smoother torque profiles while maintaining high tracking precision. Quantitative analyses using RMSE and chattering index metrics prove the superior performance of the proposed controller over the previous ones, establishing it as a practical and effective solution for safe and comfortable rehabilitation motion in real-time exoskeleton systems.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Prosthetics and Rehabilitation Robotics · Stroke Rehabilitation and Recovery · Teleoperation and Haptic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Mechanical Engineering Department, College of Engineering in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mechatronic Engineering Department, Bayero University, Kano 3011, Nigeria

Biomedical Technology Research Unit (BTRU), Department of Biomedical Technology, College of Applied Medical Sciences in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Funding

Prince Sattam bin Abdulaziz University

References (51)

Show source-provided references
1. Control Method of Upper Limb Rehabilitation Exoskeleton for Better Assistance: A Comprehensive Review10.1002/rob.22455 ↗
2. Assistive Robotics for Upper Limb Physical Rehabilitation: A Systematic Review and Future Prospects10.1186/s10033-024-01056-y ↗
3. Abdullahi, A.M., Haruna, A., and Chaichaowarat, R. (2024). Hybrid Adaptive Impedance and Admittance Control Based on the Sensorless Estimation of Interaction Joint Torque for Exoskeletons: A Case Study of an Upper Limb Rehabilitation Robot. J. Sens. Actuator Netw., 13.10.3390/jsan13020024 ↗
4. Autonomous Assistance-as-Needed Control of a Lower Limb Exoskeleton With Guaranteed Stability10.1109/ACCESS.2020.2973373 ↗
5. Kitchatr, S., Sirimangkalalo, A., and Chaichaowarat, R. (2023, January 4–9). Visual servo control for ball-on-plate balancing: Effect of PID controller gain on tracking performance. Proceedings of the 2023 IEEE International Conference on Robotics and Biomimetics (ROBIO), Koh Samui, Thailand.10.1109/ROBIO58561.2023.10354893 ↗
6. A Subject-Adaptive Controller for Wrist Robotic Rehabilitation10.1109/TMECH.2014.2340697 ↗
7. A Variable-Admittance Assist-As-Needed Controller for Upper-Limb Rehabilitation Exoskeletons10.1109/LRA.2024.3398565 ↗
8. Disturbance rejection model predictive control of lower limb rehabilitation exoskeleton10.1038/s41598-023-46885-4 ↗
9. Robust walking control of a lower limb rehabilitation exoskeleton coupled with a musculoskeletal model via deep reinforcement learning10.1186/s12984-023-01147-2 ↗
10. Faraj, M.A., Maalej, B., and Derbel, N. (2023, January 20–23). Sliding Mode Control For Lower Limb Rehabilitation Exoskeleton Contacting With Floor. Proceedings of the 2023 20th International Multi-Conference on Systems, Signals & Devices (SSD), Mahdia, Tunisia.10.1109/SSD58187.2023.10411304 ↗
11. Fellag, R., Benyahia, T., Drias, M., Guiatni, M., and Hamerlain, M. (2017, January 29–31). Sliding mode control of a 5 dofs upper limb exoskeleton robot. Proceedings of the 2017 5th International Conference on Electrical Engineering—Boumerdes (ICEE-B), Boumerdes, Algeria.10.1109/ICEE-B.2017.8192098 ↗
12. Lower limb exoskeleton for gait rehabilitation with adaptive nonsingular sliding mode control10.1017/S0263574724001668 ↗
13. Liu, J., Zhang, Y., Wang, J., and Chen, W. (June, January 31). Adaptive sliding mode control for a lower-limb exoskeleton rehabilitation robot. Proceedings of the 2018 13th IEEE Conference on Industrial Electronics and Applications (ICIEA), Wuhan, China.10.1109/ICIEA.2018.8397943 ↗
14. Sliding mode control combined with extended state observer for an ankle exoskeleton driven by electrical motor10.1016/j.mechatronics.2021.102554 ↗
15. Niu, J., Yang, Q., Wang, X., and Song, R. (2017). Sliding Mode Tracking Control of a Wire-Driven Upper-Limb Rehabilitation Robot with Nonlinear Disturbance Observer. Front. Neurol., 8.10.3389/fneur.2017.00646 ↗
16. Kali, Y., Saad, M., and Fallaha, C. (2024, January 12–15). Variable-Gains Bi-Power Reaching Law of SMC with Terminal Model-Based Switching Surfaces for a 7-DoF Exoskeleton Robot. Proceedings of the 2024 18th International Conference on Control, Automation, Robotics and Vision (ICARCV), Dubai, United Arab.10.1109/ICARCV63323.2024.10821535 ↗
17. S. M. B. P. B., S., Valori, M., Legnani, G., and Fassi, I. (2025). Assessing Safety in Physical Human–Robot Interaction in Industrial Settings: A Systematic Review of Contact Modelling and Impact Measuring Methods. Robotics, 14.10.3390/robotics14030027 ↗
18. Observer Sliding Mode Control Design for lower Exoskeleton system: Rehabilitation Case10.18196/jrc.v3i4.15239 ↗
19. Impedance Sliding-Mode Control Based on Stiffness Scheduling for Rehabilitation Robot Systems10.34133/cbsystems.0099 ↗
20. Modeling and position control of a therapeutic exoskeleton targeting upper extremity rehabilitation10.1177/0954406216668204 ↗
21. Zhang, M., Huang, J., Cao, Y., and Zhang, H.-T. (2019, January 1–4). Super Twisting Control of Passive Gait Training Exoskeleton Driven by Pneumatic Muscles. Proceedings of the 2019 International Symposium on Micro-NanoMechatronics and Human Science (MHS), Nagoya, Japan.10.1109/MHS48134.2019.9249319 ↗
22. Boubaker, S., Dimassi, H., Said, S.H., and Kamel, S. (2025). Robust Sliding-Mode Control of a Two-DOF Lower-Limb Exoskeleton Using a Cascade-Adaptive Super-Twisting Observer. Actuators, 14.10.3390/act14100503 ↗
23. Sliding mode controller with filtered signal for robot manipulators using virtual plant/controller10.1016/S0957-4158(97)00001-9 ↗
24. Real-time implementation of a super twisting control algorithm for an upper limb wearable robot10.1016/j.mechatronics.2022.102808 ↗
25. Zhu, J., Zhu, D., and Cai, J. (2009, January 23–25). Design of Sliding Mode Controller with Low-Pass Filter for Robot Manipulators. Proceedings of the 2009 Second International Workshop on Knowledge Discovery and Data Mining (WKDD), Moscow, Russia.10.1109/WKDD.2009.118 ↗
26. Chattering reduction of sliding mode control by low-pass filtering the control signal10.1002/asjc.195 ↗
27. Integral resonant control preserving the rigid body mode of torsional vibration systems10.1016/j.ifacol.2023.10.815 ↗
28. Saeed, N.A., Mohamed, M.S., Elagan, S.K., and Awrejcewicz, J. (2022). Integral Resonant Controller to Suppress the Nonlinear Oscillations of a Two-Degree-of-Freedom Rotor Active Magnetic Bearing System. Processes, 10.10.3390/pr10020271 ↗
29. Aphale, S.S., Namavar, M., and Fleming, A.J. (2018, January 27–29). Resonance-shifting Integral Resonant Control for High-speed Nanopositioning. Proceedings of the 2018 Annual American Control Conference (ACC), Milwaukee, WI, USA.10.23919/ACC.2018.8430900 ↗
30. Bhikkaji, B., Moheimani, S.O.R., and Petersen, I.R. (2008, January 9–11). Multivariable integral control of resonant structures. Proceedings of the 2008 47th IEEE Conference on Decision and Control, Cancun, Mexico.10.1109/CDC.2008.4739230 ↗
31. Improving the positioning bandwidth of the Integral Resonant Control Scheme through strategic zero placement10.3182/20140824-6-ZA-1003.00191 ↗
32. Integral resonant control scheme for cancelling human-induced vibrations in light-weight pedestrian structures10.1002/stc.423 ↗
33. Nonlinear integral resonant controller for vibration reduction in nonlinear systems10.1007/s10409-016-0577-z ↗
34. Resonant Control of a Single-Link Flexible Manipulator10.11113/jt.v67.2840 ↗
35. Robust fuzzy sliding mode control based on low pass filter for the welding robot with dynamic uncertainty10.1108/IR-04-2019-0074 ↗
36. Cooperative transport tasks with robots using adaptive non-conventional sliding mode control10.1016/j.conengprac.2018.06.005 ↗
37. Calanca, A., Capisani, L., Fiorini, P., and Ferrara, A. (2013, January 25–29). Improving continuous approximation of Sliding Mode Control. Proceedings of the 2013 16th International Conference on Advanced Robotics (ICAR), Montevideo, Uruguay.10.1109/ICAR.2013.6766486 ↗
38. Guo, W., Katiyar, S.A., Davis, S., and Nefti-Meziani, S. (2025). Overview: A Comprehensive Review of Soft Wearable Rehabilitation and Assistive Devices, with a Focus on the Function, Design and Control of Lower-Limb Exoskeletons. Machines, 13.10.3390/machines13111020 ↗
39. Adaptive Position Constrained Assist-as-Needed Control for Rehabilitation Robots10.1109/TIE.2023.3273270 ↗
40. Rehabilitation Exoskeletal Robotics10.1109/MEMB.2010.936548 ↗
41. Jenhani, S., Gritli, H., and Narayan, J. (2025). Robust Position Control of a Knee-Joint Rehabilitation Exoskeleton Using a Linear Matrix Inequalities-Based Design Approach. Appl. Sci., 15.10.3390/app15010404 ↗
42. Modified ADRC for position lower-knee exoskeleton system: Rehabilitation case
43. Robust adaptive backstepping control for a lower-limb exoskeleton system with model uncertainties and external disturbances10.1080/00051144.2022.2119498 ↗
44. Autonomous exoskeleton reduces the metabolic cost of human walking10.1186/1743-0003-11-151 ↗
45. Mashud, G., Hasan, S., and Alam, N. (2025). Advances in Control Techniques for Rehabilitation Exoskeleton Robots: A Systematic Review. Actuators, 14.10.3390/act14030108 ↗
46. Robust adaptive sliding mode admittance control of exoskeleton rehabilitation robots
47. An admittance controller based on Assistive Torque Estimation for a rehabilitation leg exoskeleton10.1007/s11370-019-00289-4 ↗
48. Smooth adaptive hybrid impedance control for robotic contact force tracking in dynamic environments10.1108/IR-09-2019-0191 ↗
49. Disturbance observer-based terminal sliding mode control for the training safety improvement in robot-assisted rehabilitation10.20517/ir.2025.17 ↗
50. Research on Trajectory Tracking Control of Lower Limb Exoskeleton Based on Fractional Order Sliding Mode and Disturbance Observer10.1002/adts.202500849 ↗
51. Abdullahi, A.M., and Chaichaowarat, R. (2023). Sensorless Estimation of Human Joint Torque for Robust Tracking Control of Lower-Limb Exoskeleton Assistive Gait Rehabilitation. J. Sens. Actuator Netw., 12.10.3390/jsan12040053 ↗