Asynchronous robust dynamic output feedback H∞ control for fuzzy stochastic hybrid systems subject to time-varying delays and hidden Markov model

In this paper, we studied the event-triggered dynamic output feedback asynchronous robust H ∞ control for Takagi–Sugeno fuzzy Markovian jump neural networks with mode-dependent time-varying delays. The main aim is to design fuzzy dynamic output feedback controller under asynchrony and event-triggere...

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Published inSoft computing (Berlin, Germany) Vol. 27; no. 1; pp. 201 - 218
Main Authors Lin, Yuqian, Zhuang, Guangming, Xia, Jianwei, Sun, Wei
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023
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Abstract In this paper, we studied the event-triggered dynamic output feedback asynchronous robust H ∞ control for Takagi–Sugeno fuzzy Markovian jump neural networks with mode-dependent time-varying delays. The main aim is to design fuzzy dynamic output feedback controller under asynchrony and event-triggered mechanisms to ensure the stochastic stability and H ∞ performance of closed-loop fuzzy Markovian jump neural networks with time-varying delays. Hidden Markov model strategy is used to describe asynchronous scheme; an event-triggered mechanism is utilized to reduce the consumption of communication resources. An improved mode-dependent and delay dependent L–K functional is constructed to address robust stochastic stability, and parallel distribution compensation technology is exploited to realize the fuzzy dynamic output feedback controller in terms of linear matrix inequalities. Finally, numerical examples including a synthetic transcriptional regulatory oscillatory network are provided to demonstrate the method’s efficiency.
AbstractList In this paper, we studied the event-triggered dynamic output feedback asynchronous robust H ∞ control for Takagi–Sugeno fuzzy Markovian jump neural networks with mode-dependent time-varying delays. The main aim is to design fuzzy dynamic output feedback controller under asynchrony and event-triggered mechanisms to ensure the stochastic stability and H ∞ performance of closed-loop fuzzy Markovian jump neural networks with time-varying delays. Hidden Markov model strategy is used to describe asynchronous scheme; an event-triggered mechanism is utilized to reduce the consumption of communication resources. An improved mode-dependent and delay dependent L–K functional is constructed to address robust stochastic stability, and parallel distribution compensation technology is exploited to realize the fuzzy dynamic output feedback controller in terms of linear matrix inequalities. Finally, numerical examples including a synthetic transcriptional regulatory oscillatory network are provided to demonstrate the method’s efficiency.
Author Sun, Wei
Zhuang, Guangming
Lin, Yuqian
Xia, Jianwei
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Keywords Dynamic output feedback
Hidden Markov model
Asynchronous control
Neural networks
Takagi–Sugeno fuzzy systems
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Snippet In this paper, we studied the event-triggered dynamic output feedback asynchronous robust H ∞ control for Takagi–Sugeno fuzzy Markovian jump neural networks...
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springer
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StartPage 201
SubjectTerms Artificial Intelligence
Computational Intelligence
Control
Engineering
Fuzzy Systems and Their Mathematics
Mathematical Logic and Foundations
Mechatronics
Robotics
Title Asynchronous robust dynamic output feedback H∞ control for fuzzy stochastic hybrid systems subject to time-varying delays and hidden Markov model
URI https://link.springer.com/article/10.1007/s00500-022-07575-x
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