Event-triggered control for switched systems in the presence of actuator saturation

ABSTRACT

In this paper, the event-triggered stabilisation problem for a class of switched systems with actuator saturation is investigated. Based on multiple Lyapunov function method and the average dwell time approach, a sufficient condition for exponential stability of such systems under event-triggered state-feedback controller is derived. To avoid Zeno behaviour, it is shown that there exists a positive lower bound for any two consecutive inter-event instants. Finally, two examples are presented to illustrate the effectiveness of the proposed method.

KEYWORDS:

• Switched systems
• actuator saturation
• event-triggered control
• average dwell time

Acknowledgments

The authors wish to thank the Associate Editor and the anonymous reviewers for their valuable suggestions and comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 61773281], [grant number 61673292]; Program for New Century Excellent Talents in University; Independent Innovation Foundation of Tianjin University.

Notes on contributors

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 nonlinear control, event-triggered control, multi-agent systems and robust control.

Yuanyuan Li

Yuanyuan Li received the B.S. degree in automation from Hebei University in 2015. She is currently pursuing the M.S. degree in Tianjin University, China. Her interests include actuator saturation, switched systems and event-triggered control.

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 2015, she became a full professor. Her research interests are analysis and control of switched/hybrid systems and robust control.