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Event-Triggered \(H_\infty \) Asynchronous Control for 2-D Switched System in FMLSS Model

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Abstract

This paper investigates the event-triggered asynchronous control problem of a 2-D discrete-time switched system described by the FMLSS model with an average dwell time approach. Specifically, the sufficient condition for event-triggered stabilization of the 2-D asynchronously switched system and the sufficient condition for the event-triggered \(H_\infty \) control of this system with a specified disturbance attenuation performance level are given, respectively. On this basis, sufficient conditions for the solvability of the corresponding event-triggered state feedback controllers are derived by using the linear matrix inequalities (LMIs) technique. Finally, two numerical examples are used to verify the validity of the proposed controller design approaches.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos.: 71971102 and 61972203), Jiangxi Provincial Natural Science Foundation (Grant No.: 20224BAB211002), Educational Commission Science Programme of Jiangxi Province (Grant No.: GJJ210502), Natural Science Foundation of Hebei Province (Grant No.: A2021204004), and High-level Talent Research Foundation of Anhui Agricultural University (Grant No.: rc382106).

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Authors and Affiliations

  1. School of Information Management, Jiangxi University of Finance and Economics, Nanchang, 330013, Jiangxi, China

    Dingli Hua & Xing Wang

  2. College of Science, Hebei Agricultural University, Baoding, 071001, China

    Yuanhong Ren

  3. School of Science, Anhui Agricultural University, Hefei, 230036, China

    Qiang Li

  4. Department of Computer Science, University of Warwick, Coventry, CV4 7AL, UK

    Weiren Yu

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  1. Dingli Hua
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  2. Yuanhong Ren
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  3. Xing Wang
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Correspondence to Dingli Hua.

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Hua, D., Ren, Y., Wang, X. et al. Event-Triggered \(H_\infty \) Asynchronous Control for 2-D Switched System in FMLSS Model. Circuits Syst Signal Process 42, 5868–5892 (2023). https://doi.org/10.1007/s00034-023-02391-6

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