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Decentralized static output feedback sliding mode control for interconnected descriptor systems via linear sliding variable

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  • Gao, Rui
  • Zhai, Ding
  • Cheng, Jun

Abstract

This paper investigates a linear sliding variable-based decentralized static output feedback sliding mode controller design problem of interconnected descriptor systems. A generalized regular form for interconnected descriptor systems is introduced. Based on the generalized regular form, a linear matrix inequality-based method is given to solve the designing matrix in the linear sliding variable and a decentralized static output feedback sliding mode controller is synthesized to stabilize the interconnected descriptor systems. It is shown that the proposed static output feedback sliding mode control method can still stabilize the interconnected descriptor systems even when unknown matched disturbances exist. Finally, a simulation result on the hypersonic vehicle system is given to illustrate the validity of the proposed method.

Suggested Citation

  • Gao, Rui & Zhai, Ding & Cheng, Jun, 2019. "Decentralized static output feedback sliding mode control for interconnected descriptor systems via linear sliding variable," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 185-198.
    • Handle: RePEc:eee:apmaco:v:357:y:2019:i:c:p:185-198
    DOI: 10.1016/j.amc.2019.04.009
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    References listed on IDEAS

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    1. Shen, Mouquan & Yan, Shen & Zhang, Guangming & Park, Ju H., 2016. "Finite-time H∞ static output control of Markov jump systems with an auxiliary approach," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 553-561.
    2. Shen, Mouquan & Ye, Dan, 2017. "A finite frequency approach to control of Markov jump linear systems with incomplete transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 53-64.
    3. Zhai, Ding & Lu, An-Yang & Li, Jing-Hao & Zhang, Qing-Ling, 2016. "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 767-792.
    4. Jian Li & Qingling Zhang & Junchao Ren & Yanhao Zhang, 2017. "Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2997-3006, October.
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    Cited by:

    1. Hu, Jun & Zhang, Panpan & Kao, Yonggui & Liu, Hongjian & Chen, Dongyan, 2019. "Sliding mode control for Markovian jump repeated scalar nonlinear systems with packet dropouts: The uncertain occurrence probabilities case," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.

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