A Comparative Study of Adaptive Sliding Mode Control for Biodynamic Vibration Suppression in a 5-DOF Artificial Human Arm

Fatla, Oula M. H.; Abdelhameed, Muhammed

doi:10.63463/kjes1225

Authors

Department of Mechanical Engineering, College of Engineering, Gulf University, Sanad 26489, Kingdom of Bahrain.

Document Type : Research Article

10.63463/kjes1225

Abstract

The present work presents the dynamic modeling and nonlinear control of a 5-DOF artificial human arm, which can efficiently replicate human upper limb movements. A control-oriented 5-DOF rigid-body dynamic model was formulated by employing the Euler-Lagrange equation, which considers inertia, centrifugal, and gravitational forces. A total of four control approaches, namely Proportional-Derivative Control (PD), Computed Torque Control (CTC), Linear Quadratic Regulator (LQR), and Adaptive Sliding Mode Control (ASMC), were proposed and analyzed for their trajectory tracking abilities. Lyapunov stability theory was used to validate the convergence of the ASMC and CTC control approaches, whereas the optimal control gains were calculated for the LQR control approach by linearizing the state-space model. The simulation outcomes demonstrated that the ASMC control approach provides the highest level of trajectory tracking accuracy with an RMS error of 0.012 rad, compared to other control approaches such as CTC (0.041 rad), LQR (0.056 rad), and PD control (0.084 rad). The ASMC control strategy was found to have the fastest settling time of 0.78 s and the smallest overshoot of 2.1%, which confirms its robustness against parametric uncertainties. However, it is achieved at the expense of an increased control effort, with an average torque norm of 15.5 Nm, whereas the PD method requires the least control energy (6.2 Nm) but has poor accuracy. These results have demonstrated the effectiveness of nonlinear robust control, especially ASMC, in improving the tracking capability of bio-inspired robotic manipulators.

Keywords

References

[1] Su, C. Y., Hung, Y. S. & Yang, C. C. "Adaptive Sliding Mode Control of Robot Manipulators: General Sliding Manifold Case" Automatic, 30(9), pp. 1497-1500, 1994. DOI: 10.1016/0005-1098(94)90019-1

[2] Uyulan, Ç., "Design and Stability Analysis of a Robust-Adaptive Sliding Mode Control Applied on a Robot Arm with Flexible Links" Vibration, 5(1), pp. 1-19, 2021. DOI: 10.3390/vibration5010001

[3] Zhang, Q., Zhao, X., Liu, L. & Dai, T. "Adaptive Sliding Mode Neural Network Control and Flexible Vibration Suppression of a Flexible Spatial Parallel Robot" Electronics, 10(2), 212, 2021. DOI: 10.3390/electronics10020212

[4] Song, Z., "Adaptive Dynamic Boundary Sliding Mode Control for Robotic Manipulators under Varying Disturbances" Electronics, 13(5), 900, 2024. DOI: 10.3390/electronics13050900

[5] Özyer, B. "Adaptive Fast Sliding Neural Control for Robot Manipulator" Turkish Journal of Electrical Engineering & Computer Sciences, 28(6), pp. 3154-3167, 2020. DOI: 10.3906/elk-2001-129

[6] Al-Tamimi, A. & Mohammad Ridha, T. "Adaptive Sliding Mode Control for Structural Vibration Using a Magnetorheological Damper" J. Robot. Control, 6(3), pp. 1308–1315, 2025. DOI: 10.18196/jrc.v6i3.26435

[7] Fei, J. "Robust Adaptive Vibration Control with Application to a Robot Beam" Zenodo, 2007. DOI: 10.5281/zenodo.1332588

[8] Liao, Z., Yang, J., Zhao, F. & Lu, Z. "Ligang Yao, Musculoskeletal-driven characterization of the human arm endpoint rotational stiffness: A Hill-based estimation framework" Measurement, 258 (A), 118997, 2026. DOI: 10.1016/j.measurement.2025.118997.

[9] Toussaint, B. "Maxime Raison, Real-time algorithm for table tennis with a desktop robotic arm" Robotics and Autonomous Systems, 197, 105288, 2026. DOI: 10.1016/j.robot.2025.105288.

[10] Saini, A.K., Gehlot, N., Kumar, R., Hans, S., Chaudhary, S. & Sharma, G. "Spiking neural network-based energy-efficient framework for real-time robotic arm manipulation" Engineering Applications of Artificial Intelligence, 167(2), 2026, 113805. DOI: 10.1016/j.engappai.2026.113805.

[11] Zhao, L., Jiang, W., Wang, Z., Tian, Z., Zhang, J., Yang, X., Zhao, J., Jiang, Z. & Liu, H. "Inverse kinematics of 7-DOF multi-offset manipulators for on-orbit servicing based on variable SRS equivalence and hybrid optimization" Advances in Space Research, 2026. DOI: 10.1016/j.asr.2026.02.006.

[12] Shahein, A.H., Ghazy, M. & Ata, A.A. "Optimal trajectory planning of 6 DOF manipulator using meta- heuristics integrated with artificial potential field theory, Alexandria Engineering Journal, Volume 134, 2026, Pages 263-274. DOI: 10.1016/j.aej.2025.12.018.

[13] X., Y. "Robust Adaptive Fuzzy Sliding Mode Trajectory Tracking Control of Serial Manipulators" Information Sciences, 2021. DOI: 10.1016/j.ins.2021.04.020

[14] Raoufi, M. "Experimental Implementation of a Novel Model-Free Vibration Control for a Flexible-link Manipulator" American Control Systems, 2021. DOI: 10.1002/acs.3305

[15] Sassi, A. & Abdelkrim, A. "Adaptive Sliding Mode Control for Trajectory Tracking of Robot Manipulators" 2015 ICMIC Conference, IEEE, 2015. DOI: 10.1109/ICMIC.2015.7409494

[16] Mustafa, M. M., Crane, C. D. & Hamarash, I. "Adaptive-Sliding Mode Trajectory Control of Robot Manipulators with Uncertainties" arXiv, 2024. DOI: 10.48550/arXiv.2408.03102

[17] Laipeng, Y., & Baolin H. "Adaptive Sliding Mode Control of Robot Manipulators with External Uncertain Stochastic Vibration" Chinese Mechanical Engineering Society Journal, 2016.

[18] Fu, X., Ai, H. & Chen, L. "Integrated Fixed Time Sliding Mode Control for Space Robot Motion and Vibration" Applied Sciences, 2021. DOI: 10.3390/app112411685

[19] Xie, L. & Chen, L. "Robust Fuzzy Sliding Mode Control and Vibration Suppression of Flexible Space Manipulator" Robotics, 40, pp. 997-1019, 2022. DOI: 10.1017/S0263574721000977

[20] Wang, X. & Qian, J. "Adaptive Sliding Mode with RBF Neural Network for Robot Manipulator Tracking Control" IJEAT, 10(6), 2021. DOI: 10.35940/ijeat. F3005.0810621

[21] Konno, A. & Uchiyama, M. "Vibration Suppression Control of Spatial Flexible Manipulators" Control Engineering Practice, 3, pp.1315–1321,1995. DOI: 10.1016/0967-0661(95)00132-E

[22] Liu, Y. & Tian, M. "Adaptive Predefined-Time Sliding Mode Tracking Control of Robot Manipulators with Parametric Uncertainties" Journal of Control Science and Engineering, 2025. DOI: 10.1177/01423312251368527

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Kerbala Journal for Engineering Sciences (KJES)

A Comparative Study of Adaptive Sliding Mode Control for Biodynamic Vibration Suppression in a 5-DOF Artificial Human Arm

References

References

Volume 6, Issue 1
March 2026
Pages 89-107

A Comparative Study of Adaptive Sliding Mode Control for Biodynamic Vibration Suppression in a 5-DOF Artificial Human Arm

References

References

Volume 6, Issue 1March 2026Pages 89-107

Volume 6, Issue 1
March 2026
Pages 89-107