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Sliding mode control for T-S fuzzy delayed systems via event-triggered round-robin protocol

Author

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  • Zuo, Zhiyuan
  • Hu, Jun
  • Zhang, Hongxu
  • Liu, Hao
  • Zhang, Guangchen

Abstract

This study addresses the sliding mode control (SMC) issue for Takagi-Sugeno (T-S) fuzzy systems with time-varying delay, which takes the access constrained communication network into account. Firstly, a new event-triggered round-robin (ETRR) protocol is designed to reduce the communication burden. Subsequently, according to the ETRR protocol, a new fuzzy mode-dependent SMC law is constructed, where the controller's membership functions (MFs) depend on the compromised triggered state. Furthermore, sufficient conditions related to the event-triggered mechanism are provided to ensure the stability of the controlled system with satisfactory H∞ performance and the reachability of the sliding surface by constructing a token-dependent Lyapunov functional. In addition, an optimization problem is established to solve the optimal H∞ performance level. Finally, the usefulness of the proposed SMC approach and the superiority of the ETRR protocol are displayed by comparative simulation experiments.

Suggested Citation

  • Zuo, Zhiyuan & Hu, Jun & Zhang, Hongxu & Liu, Hao & Zhang, Guangchen, 2026. "Sliding mode control for T-S fuzzy delayed systems via event-triggered round-robin protocol," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003595
    DOI: 10.1016/j.amc.2025.129633
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    References listed on IDEAS

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    1. Wendong Gai & Yuqi Zheng & Yang Yang & Guilin Zhang & Jing Zhang, 2025. "Disturbance-observer-based distributed formation control for multi-agent systems with dynamic event-triggered mechanism," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(16), pages 4115-4130, December.
    2. Ge, Chao & Liu, Zengshuai & Wang, Lei & Liu, Yajuan, 2022. "Improved stability criteria of T-S fuzzy systems with sampled-data-based dissipative control," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    3. Xue, Yanmei & Ren, Wen & Zheng, Bo-Chao & Han, Jinke, 2022. "Event-triggered adaptive sliding mode control of cyber-physical systems under false data injection attack," Applied Mathematics and Computation, Elsevier, vol. 433(C).
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