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Asynchronous mixed H∞ and passive control for fuzzy singular delayed Markovian jump system via hidden Markovian model mechanism

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  • Wang, Xin
  • Zhuang, Guangming
  • Chen, Guoliang
  • Ma, Qian
  • Lu, Junwei

Abstract

The issue of asynchronous mixed H∞ and passive control for Takagi-Sugeno fuzzy singular delayed Markovian jump system is investigated in this paper. The modes of designed fuzzy controller operate asynchronously with the modes of original system, which can be represented by a hidden Markovian model (HMM). By constructing a delay-dependent and mode-dependent stochastic Lyapunov-Krasovskii functional, new criteria are derived to guarantee that the fuzzy singular delayed Markovian jump system is stochastically admissible with a mixed H∞ and passivity performance. Then, an asynchronous fuzzy controller is designed successfully via parallel distributed compensation technique and HMM principle based on these criteria. Finally, two simulation examples including a DC motor device are presented to verify the correctness and effectiveness of the derived results.

Suggested Citation

  • Wang, Xin & Zhuang, Guangming & Chen, Guoliang & Ma, Qian & Lu, Junwei, 2022. "Asynchronous mixed H∞ and passive control for fuzzy singular delayed Markovian jump system via hidden Markovian model mechanism," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    • Handle: RePEc:eee:apmaco:v:429:y:2022:i:c:s0096300322003277
    DOI: 10.1016/j.amc.2022.127253
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    References listed on IDEAS

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