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Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays

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  • Mourad Kchaou
  • Ahmed El-Hajjaji

Abstract

The resilient sliding mode control (SMC) problem for a class of discrete-time descriptor Takagi–Sugeno (T-S) fuzzy systems with multiple state delays is addressed. Attention is focused on the design of a discrete-time SMC such that the admissibility as well as the H∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delays and external disturbances. Based on a new sliding function, a delay-dependent sufficient condition is established to ensure the desired performance of the sliding mode dynamics on the specified sliding mode surface. Moreover, a resilient SMC law is established to satisfy the reaching condition. Finally, two examples are given to show the effectiveness and advantages of the proposed design SMC scheme.

Suggested Citation

  • Mourad Kchaou & Ahmed El-Hajjaji, 2017. "Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 288-301, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:288-301
    DOI: 10.1080/00207721.2016.1179818
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    References listed on IDEAS

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    1. Li, Tzuu-Hseng S. & Kuo, Chao-Lin & Guo, Nai Ren, 2007. "Design of an EP-based fuzzy sliding-mode control for a magnetic ball suspension system," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1523-1531.
    2. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
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    Cited by:

    1. Obaid Alshammari & Mourad Kchaou & Houssem Jerbi & Sondess Ben Aoun & Víctor Leiva, 2022. "A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications," Mathematics, MDPI, vol. 10(18), pages 1-28, September.
    2. Mourad Kchaou & Saleh Al Ahmadi, 2017. "Robust Control for Nonlinear Uncertain Switched Descriptor Systems with Time Delay and Nonlinear Input: A Sliding Mode Approach," Complexity, Hindawi, vol. 2017, pages 1-14, June.
    3. Shih-Yu Li & Chin-Sheng Chen & Lap-Mou Tam & Shun-Hung Tsai, 2017. "Novel Fuzzy-Modeling-Based Adaptive Synchronization of Nonlinear Dynamic Systems," Complexity, Hindawi, vol. 2017, pages 1-8, March.

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