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Event-triggered Control of Discrete-time Switched Linear Systems with an Arbitrary Sampling Period

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Abstract

In this paper, the event-triggered control problem for discrete-time switched linear systems with an arbitrary sampling period is considered. At each sampling instant, only the sampled information of system state and switching signal is available to the controller. Particularly, the sampling period is arbitrary in this paper and frequent switching is allowed to happen in an inter-event period. Based on that, by constructing a time- and mode-dependent quadratic piecewise Lyapunov function, a new globally exponentially stability (GES) result under modal dwell time (MDT) criteria is obtained. By the novel Lyapunov function and the state variable transformation technique, a statefeedback controller is designed for the switched linear system. At last, a numerical example is proposed to illustrate our approach.

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Authors and Affiliations

  1. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Xiaozeng Xu, Yang Li, Can Liu & Hongbin Zhang

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  1. Xiaozeng Xu
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  2. Yang Li
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Correspondence to Yang Li.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Wenhai Qi under the direction of Editor Jessie (Ju H.) Park. The authors thank the anonymous reviewers for their valuable comments and suggestions to improve the quality of this paper. This work was supported by the National Natural Science Foundation of China (Grants No.61971100).

Xiaozeng Xu received his B.S. degree in electronic information science and technology from Shandong University of Science and Technology, Shandong, China, in 2017. He is currently working toward a Ph.D. degree with the University of Electronic Science and Technology of China, Sichuan, China. His research interests include fuzzy systems and switched systems.

Yang Li received his B.E. degree in electronic and information engineering and an M.S. degree in circuits and systems from the University of Electronic Science and Technology of China, Chengdu, in 2014 and 2017, respectively. He is currently working toward his Ph.D. degree in circuits and systems at the University of Electronic Science and Technology of China, Chengdu. His research interests include fuzzy control and switched systems.

Can Liu received his B.S. degree in electronic information science and technology from Jiangsu University of Science and Technology, Jiangsu, China, in 2013. He is currently pursuing a Ph.D. degree with the University of Electronic Science and Technology of China, Sichuan, China. His research interests include fuzzy systems, nonlinear systems, and switched systems.

Hongbin Zhang received his B.Eng. degree in aerocraft design from Northwestern Polytechnical University, Xi’an, China, in 1999, and his M.Eng. and Ph.D. degrees in circuits and systems from the University of Electronic Science and Technology of China, Chengdu, China, in 2002 and 2006, respectively. He has been with the School of Electrical Engineering, University of Electronic Science and Technology of China, since 2002, where he is currently a Professor. Since December 2011, he has been a Postdoctoral Researcher with the School of Automation, Nanjing University of Science and Technology, Nanjing, China. His current research interests include fuzzy control, stochastic control, and time-delay control systems.

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Xu, X., Li, Y., Liu, C. et al. Event-triggered Control of Discrete-time Switched Linear Systems with an Arbitrary Sampling Period. Int. J. Control Autom. Syst. 19, 279–288 (2021). https://doi.org/10.1007/s12555-020-0018-4

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  • DOI: https://doi.org/10.1007/s12555-020-0018-4

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