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Design of sliding mode control for a class of uncertain switched systems

Author

Listed:
  • Yonghui Liu
  • Tinggang Jia
  • Yugang Niu
  • Yuanyuan Zou

Abstract

This paper considers the problem of sliding mode control for a class of uncertain switched systems with parameter uncertainties and external disturbances. A key feature of the controlled system is that each subsystem is not required to share the same input channel, which was usually assumed in some existing works. By means of a weighted sum of the input matrix, a common sliding surface is designed in this work. It is shown that the reachability of the sliding surface can be ensured by the present sliding mode controller. Moreover, the sliding motion on the specified sliding surface is asymptotically stable under the proposed switching signal dependent on the state and time. Additionally, the above results are further extended to the case that the system states are unavailable. Both the sliding surface and sliding mode controller are designed by utilising state-observer. Finally, numerical simulation examples are given to illustrate the effectiveness of the present method.

Suggested Citation

  • Yonghui Liu & Tinggang Jia & Yugang Niu & Yuanyuan Zou, 2015. "Design of sliding mode control for a class of uncertain switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 993-1002, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:993-1002
    DOI: 10.1080/00207721.2013.803635
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    Cited by:

    1. Tawfik Guesmi & Badr M. Alshammari & Yosra Welhazi & Hsan Hadj Abdallah & Ahmed Toumi, 2022. "Robust Fuzzy Control for Uncertain Nonlinear Power Systems," Mathematics, MDPI, vol. 10(9), pages 1-26, April.
    2. Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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