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Robust (Q,S,R)−α-dissipative event-triggered sliding mode control of discrete T-S fuzzy descriptor systems with partial unmeasurable premise variables

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  • Lu, Xuchen
  • Ren, Junchao

Abstract

In this paper, the admissibility analysis and dissipative sliding mode control (SMC) based on event-triggered mechanism (ETM) are studied for discrete T-S fuzzy descriptor systems (D-TSFDS). The problem of partial unmeasurable premise variables in D-TSFDS is dealt with by nonlinear dynamic programming. Based on ETM, a sliding mode surface based on measurable premise variables is proposed for the first time. Since the delay between the sensor and the controller in ETM, a Lyapunov-Krasovskii function is used to acquire the sufficient conditions for the closed-loop system to be admissible with dissipative performance. A new SMC law is given to ensure the reachability conation. The simulation results demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Lu, Xuchen & Ren, Junchao, 2023. "Robust (Q,S,R)−α-dissipative event-triggered sliding mode control of discrete T-S fuzzy descriptor systems with partial unmeasurable premise variables," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    • Handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001790
    DOI: 10.1016/j.amc.2023.128010
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    References listed on IDEAS

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    1. Zhang, Yingnan, 2019. "Controller synthesis for continuous T-S fuzzy systems with partly immeasurable premise variables," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Yueqiao Han & Yonggui Kao & Cunchen Gao & Baoping Jiang, 2017. "Robust sliding mode control for uncertain discrete singular systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 818-827, March.
    3. Lei Lian & Peng Ji & Tianyu OuYang & Fengying Ma & Shanwen Xu & Chao Gao & Jing Liu & Jianxin Li, 2021. "Fuzzy Integral Sliding Mode Control Based on Microbial Fuel Cell," Complexity, Hindawi, vol. 2021, pages 1-8, January.
    4. Ouhib, Lamia, 2020. "State and unknown inputs estimation for Takagi–Sugeno systems with immeasurable premise variables: Proportional Multiple Integral observer design," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 167(C), pages 372-380.
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