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Sliding Mode Control of Manipulator Based on Improved Reaching Law and Sliding Surface

Author

Listed:
  • Peng Ji

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

  • Chenglong Li

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

  • Fengying Ma

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

Abstract

Aiming at the problem of convergence speed and chattering in sliding mode variable structure control of manipulator, an improved exponential reaching law and nonlinear sliding surface are proposed, and the Lyapunov function is used to analyze its stability. According to the dynamic model of the 6-DOF UR5 manipulator and the proposed reaching law and sliding surface, the corresponding control scheme is designed. The control performance of the proposed control scheme is verified by tracking the end trajectory of the manipulator on the MATLAB and CoppeliaSim robot simulation platform. The experimental results show that the proposed control scheme can not only significantly improve the convergence speed and make the system converge quickly, but also can effectively reduce the chattering of the system. Even in the presence of disturbance signals, fast and stable tracking can be achieved while ensuring the robustness of the system, and the chattering of the robotic arm system can be weakened to a certain extent. Compared with the classical control method based on the computational torque method and the traditional sliding mode control scheme based on the exponential reaching law, the proposed scheme has certain advantages in terms of tracking accuracy, convergence speed, and reducing system chattering, and effectively improves the overall control performance of the system.

Suggested Citation

  • Peng Ji & Chenglong Li & Fengying Ma, 2022. "Sliding Mode Control of Manipulator Based on Improved Reaching Law and Sliding Surface," Mathematics, MDPI, vol. 10(11), pages 1-21, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1935-:d:832003
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    References listed on IDEAS

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    1. Yulia Danik & Mikhail Dmitriev, 2022. "Symbolic Regulator Sets for a Weakly Nonlinear Discrete Control System with a Small Step," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
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    Cited by:

    1. Liyin Zhang & Yinlong Hou & Hui Liu & Dafeng Tang & Long Li, 2023. "Prescribed Performance Fault-Tolerant Tracking Control of Uncertain Robot Manipulators with Integral Sliding Mode," Mathematics, MDPI, vol. 11(11), pages 1-20, May.
    2. Jesús Alfonso Medrano-Hermosillo & Ricardo Lozoya-Ponce & Abraham Efraím Rodriguez-Mata & Rogelio Baray-Arana, 2023. "Phase-Space Modeling and Control of Robots in the Screw Theory Framework Using Geometric Algebra," Mathematics, MDPI, vol. 11(3), pages 1-17, January.
    3. América Berenice Morales-Díaz & Josué Gómez-Casas & Chidentree Treesatayapun & Carlos Rodrigo Muñiz-Valdez & Jesús Salvador Galindo-Valdés & Jesús Fernando Martínez-Villafañe, 2023. "Data-Driven Adaptive Modelling and Control for a Class of Discrete-Time Robotic Systems Based on a Generalized Jacobian Matrix Initialization," Mathematics, MDPI, vol. 11(11), pages 1-19, June.

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