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Asynchronous robust dynamic output feedback \(H_{\infty }\) control for fuzzy stochastic hybrid systems subject to time-varying delays and hidden Markov model

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Abstract

In this paper, we studied the event-triggered dynamic output feedback asynchronous robust \(H_{\infty }\) 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 \(H_{\infty }\) 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.

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Data Availability

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

The authors would like to thank the Editors and the Referees for carefully reading the paper and for the comments which have helped us to greatly improve the paper. This work was supported by National Natural Science Foundation of China under Grants 62173174, 61773191, 62173183, 61973148; Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010; Natural Science Foundation of Shandong Province for Key Projects under Grant ZR2020KA010; Graduate education high-quality curriculum construction project for Shandong Province under Grant SDYKC20185. Discipline with Strong Characteristics of Liaocheng University–Intelligent Science and Technology under Grant 319462208; Shandong Provincial Natural Science Foundation under Grant ZR2021JQ23.

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  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, People’s Republic of China

    Yuqian Lin, Guangming Zhuang, Jianwei Xia & Wei Sun

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  1. Yuqian Lin
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  2. Guangming Zhuang
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  4. Wei Sun
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All the authors listed have approved the manuscript that is enclosed. All the authors have read and approved this version of the article, and due care has been taken to ensure the integrity of the work. YL performed the data analyses and wrote the manuscript; GZ contributed significantly to analysis and manuscript preparation; JX contributed to the conception of the study; WS performed the simulations.

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Correspondence to Guangming Zhuang.

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Lin, Y., Zhuang, G., Xia, J. et al. Asynchronous robust dynamic output feedback \(H_{\infty }\) control for fuzzy stochastic hybrid systems subject to time-varying delays and hidden Markov model. Soft Comput 27, 201–218 (2023). https://doi.org/10.1007/s00500-022-07575-x

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