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Robust H∞ sliding mode control for delay-dependent uncertain T-S fuzzy descriptor stochastic Markovian jump systems with mode-dependent time-varying delays

Author

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  • Chen, Yi
  • Zhou, Juan

Abstract

In this article, the admissibility analysis and robust H∞ sliding mode control (SMC) are studied for uncertain T-S fuzzy singular stochastic Markovian jump systems (SSMJSs) with mode-dependent time-varying delays. The novelty of the article lies in designing a new fuzzy integral sliding manifold function to eliminate the strict assumptions on the system matrices and the limitations caused by the previous integral sliding mode control methods in practical applications. Sufficient conditions are derived to ensure stochastic admissibility of SSMJSs with a specified H∞ performance. In addition, a suitable fuzzy sliding mode controller is developed to keep the states of SSMJSs on a predetermined fuzzy manifold under the presence of uncertainties. Finally, some numerical and a practical experiment of bio-economic systems are simulated to demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Chen, Yi & Zhou, Juan, 2024. "Robust H∞ sliding mode control for delay-dependent uncertain T-S fuzzy descriptor stochastic Markovian jump systems with mode-dependent time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    • Handle: RePEc:eee:apmaco:v:479:y:2024:i:c:s0096300324003424
    DOI: 10.1016/j.amc.2024.128881
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    References listed on IDEAS

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    1. Tao, Ruifeng & Ma, Yuechao & Wang, Chunjiao, 2020. "Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    2. Jiang, Baoping & Gao, Cunchen & Kao, Yonggui & Liu, Zhen, 2016. "Sliding mode control of Markovian jump systems with incomplete information on time-varying delays and transition rates," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 66-79.
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