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Memory-based sliding mode control for discrete time T–S fuzzy singular systems under dynamic memory event-triggered mechanism and its application

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  • He, Jie
  • Ren, Junchao

Abstract

In this work, a memory-based sliding mode control (SMC) scheme is proposed for discrete time T–S fuzzy singular systems (TSFSSs) under false data injection attacks by applying dynamic memory event-triggered (ET) strategy. Firstly, a dynamic memory ET strategy is proposed to alleviate the burden of signal transmission while maintaining system performance. Then, a novel non-fragile sliding mode surface (SMS) with mismatched membership functions and historical information is established for TSFSSs, and the relaxed sufficient conditions that guarantee the admissibility of the sliding motion with dissipative performance are rigorously derived. Furthermore, a memory-based SMC law is designed to ensure the satisfaction of the reachability criteria on the basis of the reaching law. Finally, two examples are given to illustrate the feasibility and superiority of the proposed approach.

Suggested Citation

  • He, Jie & Ren, Junchao, 2025. "Memory-based sliding mode control for discrete time T–S fuzzy singular systems under dynamic memory event-triggered mechanism and its application," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925011208
    DOI: 10.1016/j.chaos.2025.117107
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    References listed on IDEAS

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    1. Xu, Qiyi & Zhang, Yijun & Qi, Wenhai & Xiao, Shunyuan, 2020. "Event-triggered mixed H∞ and passive filtering for discrete-time networked singular Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    2. Liu, Fangyuan & Liu, Guobao & Liu, Huai & Huo, Shicheng, 2025. "Extended dissipative analysis of integral sliding mode control for singular interval type-2 fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 493(C).
    3. Feng, Zhiguang & Zhang, Xinyue & Liu, Jason J.R. & Jiang, Zhengyi, 2024. "A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay," Applied Mathematics and Computation, Elsevier, vol. 481(C).
    4. Shi, Hongpeng & Zhao, Zhenli & Ma, Shuping, 2025. "Reduced-order full information estimation observer-based dissipative control for nonlinear discrete-time switched singular systems with unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 493(C).
    5. 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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