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Open AccessArticle
Hybrid Sliding Mode Control with Integral Resonant Control for Chattering Reduction in a 3-DOF Lower-Limb Exoskeleton Rehabilitation
by
Muktar Fatihu Hamza
Muktar Fatihu Hamza 1,*
,
Auwalu Muhammad Abdullahi
Auwalu Muhammad Abdullahi 2,
Abdulrahman Alqahtani
Abdulrahman Alqahtani 3
and
Nizar Rokbani
Nizar Rokbani 3
1
Mechanical Engineering Department, College of Engineering in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
2
Mechatronic Engineering Department, Bayero University, Kano 3011, Nigeria
3
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
*
Author to whom correspondence should be addressed.
Appl. Sci. 2026, 16(1), 410; https://doi.org/10.3390/app16010410 (registering DOI)
Submission received: 2 December 2025
/
Revised: 17 December 2025
/
Accepted: 22 December 2025
/
Published: 30 December 2025
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.
Share and Cite
MDPI and ACS Style
Hamza, M.F.; Abdullahi, A.M.; Alqahtani, A.; Rokbani, N.
Hybrid Sliding Mode Control with Integral Resonant Control for Chattering Reduction in a 3-DOF Lower-Limb Exoskeleton Rehabilitation. Appl. Sci. 2026, 16, 410.
https://doi.org/10.3390/app16010410
AMA Style
Hamza MF, Abdullahi AM, Alqahtani A, Rokbani N.
Hybrid Sliding Mode Control with Integral Resonant Control for Chattering Reduction in a 3-DOF Lower-Limb Exoskeleton Rehabilitation. Applied Sciences. 2026; 16(1):410.
https://doi.org/10.3390/app16010410
Chicago/Turabian Style
Hamza, Muktar Fatihu, Auwalu Muhammad Abdullahi, Abdulrahman Alqahtani, and Nizar Rokbani.
2026. "Hybrid Sliding Mode Control with Integral Resonant Control for Chattering Reduction in a 3-DOF Lower-Limb Exoskeleton Rehabilitation" Applied Sciences 16, no. 1: 410.
https://doi.org/10.3390/app16010410
APA Style
Hamza, M. F., Abdullahi, A. M., Alqahtani, A., & Rokbani, N.
(2026). Hybrid Sliding Mode Control with Integral Resonant Control for Chattering Reduction in a 3-DOF Lower-Limb Exoskeleton Rehabilitation. Applied Sciences, 16(1), 410.
https://doi.org/10.3390/app16010410
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