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Adaptive event-triggered non-fragile sliding mode control for uncertain T-S fuzzy singular systems with passive constraint

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  • Li, Ze
  • Ren, Junchao

Abstract

This paper discusses the non-fragile SMC problem of uncertain discrete-time TSFSSs with passive constraint based on the event-triggered method. A novel AETS is adopted to save communication resources while maintaining good control performance. According to Lyapunov function method, sufficient admissible conditions of the sliding mode dynamics are established to ensure passive performance. Throughout the entire design process, the difference singular matrix of the system under consideration is fully taken into account to make it easy to check the given conditions. Under the fuzzy environment, the non-fragile SMC law under the AETS is determined to ensure the reachability condition. Finally, two examples are provided to verify the effectiveness of the given control strategy.

Suggested Citation

  • Li, Ze & Ren, Junchao, 2024. "Adaptive event-triggered non-fragile sliding mode control for uncertain T-S fuzzy singular systems with passive constraint," Applied Mathematics and Computation, Elsevier, vol. 472(C).
  • Handle: RePEc:eee:apmaco:v:472:y:2024:i:c:s0096300324001012
    DOI: 10.1016/j.amc.2024.128629
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    References listed on IDEAS

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    1. Zhu, Laixiang & Wang, Yanqian & Zhuang, Guangming & Song, Gongfei, 2022. "Dynamic-memory event-based asynchronous dissipative filtering for T-S fuzzy singular semi-Markov jump systems against multi-cyber attacks," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    2. Wang, Xingxing & Ma, Yuechao, 2023. "Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
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