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Dynamic Event-triggered H∞ Control for Singularly Perturbed Switched Systems Under Persistent Dwell-time

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Abstract

This paper is concerned with the dynamic event-triggered H∞ control issue of singularly perturbed switched systems, in which a persistent dwell-time switching regularity is embraced. The dynamic event-triggered mechanism is introduced to reduce some unnecessary data transmitted in the communication network so as to that the system can maintain the desired performance under better resource efficiency. Under this communication mechanism, a singular perturbation parameter independent criterion is derived to guarantee the globally uniform exponential stability with an H∞ performance for the considered persistent dwell-time switched singularly perturbed systems. Based on the criterion, a method is presented for calculating the gains of the desired controller. Finally, a numerical example is provided to verify the rationality and validity of the proposed method.

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan, 243032, China

    Yinsheng Song, Guanqi Wang, Feng Li, Hao Shen & Jing Wang

Authors
  1. Yinsheng Song
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  2. Guanqi Wang
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  3. Feng Li
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  4. Hao Shen
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Correspondence to Feng Li or Hao Shen.

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The authors declare that there is no competing financial interest or personal relationship that could have appeared to influence the work reported in this paper.

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This work was supported by the National Natural Science Foundation of China under Grant 62273006, 62173001, 62303016; the Major Technologies Research and Development Special Program of Anhui Province under Grant 202003a05020001; the Key research and development projects of Anhui Province under Grant 202104a05020015, the Natural Science Foundation for Distinguished Young Scholars of Higher Education Institutions of Anhui Province under grant 2022AH020034, the Natural Science Foundation for Excellent Young Scholars of Higher Education Institutions of Anhui Province under grant 2022AH030049.

Yinsheng Song is now an M.S. candidate at the School of Electrical and Information Engineering, Anhui University of Technology, China. His current research interests include singularly perturbed systems, switched systems, and event-triggered mechanism.

Guanqi Wang is now an M.S. candidate at the School of Electrical and Information Engineering, Anhui University of Technology, China. His current research interests include singular systems, Markov jump systems, and robust control and filtering.

Feng Li received his M.S. degree in electrical engineering from Anhui University of Technology, Ma’anshan, China, in 2017, and a Ph.D. degree in control science and engineering from Nanjing University of Science and Technology, Nanjing, China, in 2021. He is currently a Lecturer with the School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan, China. From April 2019 to November 2020, he was a Visiting Fellow with the School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, NSW, Australia. His current research interests include Markov jump systems, singularly perturbed systems, neural networks, networked control systems, robust control and filtering, and their applications.

Hao Shen received his Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, Nanjing, China, in 2011. From February 2013 to March 2014, he was a Post-Doctoral Fellow with the Department of Electrical Engineering, Yeungnam University, Korea. Since 2011, he has been with Anhui University of Technology, China, where he is currently a Professor and a Doctoral Supervisor. His current research interests include stochastic hybrid systems, complex networks, fuzzy systems and control, and nonlinear control. Prof. Shen was a recipient of the Highly Cited Researcher Award by Clarivate Analytics (formerly, Thomson Reuters) in 2019–2021.

Jing Wang received her Ph.D. degree in electric power system and automation from Hohai University in 2019. Since 2011, she has been with Anhui University of Technology, China, where she is currently an Associate Professor. Her current research interests include nonlinear control, complex networks, and power systems.

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Song, Y., Wang, G., Li, F. et al. Dynamic Event-triggered H∞ Control for Singularly Perturbed Switched Systems Under Persistent Dwell-time. Int. J. Control Autom. Syst. 21, 3239–3248 (2023). https://doi.org/10.1007/s12555-022-0763-7

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  • DOI: https://doi.org/10.1007/s12555-022-0763-7

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