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Output Feedback Control Design for Switched Systems with Unmatched Uncertainties Based on the Switched Robust Integral Sliding Mode

Author

Listed:
  • Xiaoyu Zhang

    (Beijing Key Laboratory of Robot Bionics and Function Research, Beijing University of Civil Engineering and Architecture, Beijing 100044, China)

  • Shuiping Xiong

    (Key Laboratory of AI and Information Processing, Education Department of Guangxi Zhuang Autonomous Region, Hechi University, Hechi 546300, China)

Abstract

This paper proposes an output feedback sliding-mode control design based on a switched robust integral sliding mode for switched systems with unmatched uncertainties. First, the control task based on the observer is given while the system state information cannot be measured directly. Then, the switched robust integral sliding mode is constructed on the space of the estimated state, while the parameters of the switched robust integral sliding mode are selected ensuring that the system state in the sliding mode is robustly and exponentially stable. Linear matrix inequality conditions for the stabilization switching rule and the common Lyapunov function criterion are achieved. Consequently, the corresponding sliding-mode controller is designed based on the state estimation and the switched robust integral sliding mode. Finally, the application simulation results in a one-link manipulator with the load change validate the effectiveness and feasibility.

Suggested Citation

  • Xiaoyu Zhang & Shuiping Xiong, 2023. "Output Feedback Control Design for Switched Systems with Unmatched Uncertainties Based on the Switched Robust Integral Sliding Mode," Mathematics, MDPI, vol. 11(22), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4674-:d:1281860
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    References listed on IDEAS

    as
    1. Shuyan Qi & Jun Zhao & Li Tang, 2023. "Adaptive Output Feedback Control for Constrained Switched Systems with Input Quantization," Mathematics, MDPI, vol. 11(3), pages 1-16, February.
    2. Li, Jian & Guo, Xinxin & Chen, Cong & Su, Qingyu, 2019. "Robust fault diagnosis for switched systems based on sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 193-203.
    3. Haijuan Zhao & Yugang Niu & Jun Song, 2018. "Finite-time output feedback control of uncertain switched systems via sliding mode design," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(5), pages 984-996, April.
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