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Dynamic event-triggered fuzzy control for nonlinear singular semi-Markovian jump systems via state decomposition approach

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  • Li, Xin
  • Mu, Xiaowu

Abstract

This paper addresses the dynamic event-triggered fuzzy control problem of nonlinear singular semi-Markovian jump systems. Firstly, the interval type-2 fuzzy model is utilized to approximate nonlinear singular semi-Markovian jump systems. Secondly, by employing the state decomposition approach, the interval type-2 fuzzy singular system is decomposed into a differential equation and an algebraic equation. Thirdly, a new periodic dynamic event-triggered scheme with the adaptive variable is proposed to further relieve the communication pressure while ensuring the system performance. The hidden semi-Markov model is used to describe the phenomenon that the modes of fuzzy controller and the modes of original system are asynchronously operational. By designing the asynchronous event-triggered fuzzy controller based on quantized decomposed state vectors and constructing suitable Lyapunov-Krasovskii functional, sufficient conditions are derived to guarantee that the closed-loop fuzzy singular system is stochastically admissible. Finally, two simulation examples are provided to verify the validity and advantages of obtained results.

Suggested Citation

  • Li, Xin & Mu, Xiaowu, 2024. "Dynamic event-triggered fuzzy control for nonlinear singular semi-Markovian jump systems via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    • Handle: RePEc:eee:apmaco:v:466:y:2024:i:c:s0096300323006355
    DOI: 10.1016/j.amc.2023.128466
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    References listed on IDEAS

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    1. Liu, Mengmeng & Yu, Jinyong & Liu, Yu, 2022. "Dynamic event-triggered asynchronous fault detection for Markov jump systems with partially accessible hidden information and subject to aperiodic DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    2. Liang, Tiantian & Shi, Shengli & Ma, Yuechao, 2023. "Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    3. Long Sheng & Xiaoyu Ma, 2014. "Stability analysis and controller design of interval type-2 fuzzy systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 977-993, May.
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