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

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

Applied Mathematics and Computation, 2022, vol. 429, issue C

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.

Keywords: Asynchronous control; Fuzzy singular markovian jump system; Hidden markovian model; Mixed H∞ and passivity; Parallel distributed compensation technique (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:429:y:2022:i:c:s0096300322003277

DOI: 10.1016/j.amc.2022.127253

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