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ABSTRACT
In this paper, we consider the event-triggered control for a class of switched systems which are composed of one continuous-time subsystem and one discrete-time subsystem. The proposed event-triggered mechanism adopts the form of periodic triggering, which combines the advantages of periodic control and event-triggered control. Consequently, Zeno behaviour can be essentially eliminated. A criterion is presented to ensure the exponential stability of the closed-loop switched systems. In addition, we extend the above result to the case of the switched system with multiple continuous-time and discrete-time subsystems and the case of observer-based control. Finally, a numerical example is provided to illustrate the theoretical results.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
Yijing Wang
Yijing Wang received her M.S. degree in control theory and control engineering from Yanshan University and the Ph.D. degree in control theory from Peking University, China, in 2000 and 2004, respectively. Since 2005, she has been an associate professor with the School of Electrical Engineering and Automation at Tianjin University, China. In 2016, she became a full professor. Her research interests are analysis and control of switched/hybrid systems and robust control.
Zongxian Jia
Zongxian Jia received the B.S. degree in automation from Yanshan University in 2016. He is currently pursuing the M.S. degree in Tianjin University, China. His research interest is event-triggered control of switched systems.
Rui Zhao
Rui Zhao received her bachelor degree in automation from Tianjin University in 2018. Now, she is a graduate student in the School of Electrical and Information Engineering, Tianjin University. Her research interest is event-triggered control of switched systems.
Zhiqiang Zuo
Zhiqiang Zuo received the M.S. degree in control theory and control engineering in 2001 from Yanshan University and the Ph.D. degree in control theory in 2004 from Peking University, China. In 2004, he joined the School of Electrical Engineering and Automation, Tianjin University as an associate professor. From 2008 to 2010, he was a research fellow in the Department of Mathematics, City University of Hong Kong. And he became a full professor in 2011. His research interests include multi-agent systems, nonlinear control, adaptive control and robust control.