H_∞ control for networked switched systems with mixed switching law and an event-triggered communication mechanism

Abstract

This paper studies the event-triggered $H_{\mathrm{\infty }}$ control problem for networked switched systems with a mixed time and state-dependent switching law. By the event-triggering strategies, only necessary samplings of feedback signals are determined to be released. The advantages are that redundant transmissions and updates can be reduced. By the adopted switching law, each sub-system will work for a minimum dwell time, and then a state-dependent switching starts to work. Specifically, by using discrete event-triggering strategies and considering the effects of transmission delays, a time-delay closed-loop switched system is first established. Then, by utilising multiple Lyapunov functions method, sufficient conditions are presented to ensure the stability of the closed-loop switched system with a certain $H_{\mathrm{\infty }}$ performance level. In particular, since the switching instants and the event-triggered instants may be coupled, typical cases are discussed in detail. Moreover, the co-design conditions for state-feedback sub-controller gains and event-triggering parameters are developed. Finally, the effectiveness of the proposed method is verified by numerical simulations.

Keywords:

• Networked switched systems
• event-triggering strategy
• mixed time and state-dependent switching law
• $H_{\mathrm{\infty }}$ control

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant numbers 61873172, 61811530036, 61403261], the Liaoning Revitalization Talents Program [grant number XLYC1807101], the Aeronautical Science Foundation of China [grant number 2016ZC54008], the Natural Science Foundation of Liaoning Province [grant number 20180550517], the Overseas Training Program of Universities in Liaoning [grant number 2019GJWYB008], the Liaoning BaiQianWan Talents Program [grant number 2018-B-20], and the Open Fund of Science and Technology on Thermal Energy and Power Laboratory [grant number TPL2017CA005].

Notes on contributors

Yiwen Qi

Yiwen Qi received the Ph.D. degree in power machinery and engineering from Harbin Institute of Technology, Harbin, China, in 2012. From 2015 to 2016, he was a Postdoctoral Research Fellow at the Faculty of Science and Engineering, University of Groningen, Groningen, the Netherlands. In September 2016, he was a Visiting Scholar at the Graduate School of Informatics, Kyoto University, Kyoto, Japan. In December 2017, he was a Visiting Scholar at the Research School of Engineering, Australian National University, Canberra, Australia. From May to August 2018, he was a Visiting Scholar at the Faculty of Science and Engineering, University of Groningen, Groningen, the Netherlands. He is currently a Full Professor at the School of Automation, Shenyang Aerospace University, Shenyang, China. His current research interests include analysis and synthesis of switched systems, event-triggered control, reinforcement learning control, and their applications in power systems.

Xindi Xu

Xindi Xu received the B.S. degree in measurement control technology and instruments from Shenyang Aerospace University, Shenyang, China, in 2017. She is currently pursuing the M.S. degree in automation at Shenyang Aerospace University, Shenyang, China. Her research interests include event-triggered control and switched systems.

Xianling Li

Xianling Li received the B.S., M.S. and Ph.D. degrees from Harbin Institute of Technology, Harbin, China in 2005, 2007 and 2011, respectively. He is currently a Senior Engineer at Science and Technology on Thermal Energy and Power Laboratory; and Wuhan Second Ship Design and Research Institute, Wuhan, China. His research interests include modeling, intelligent control and fault diagnosis of complex power systems.

Zhiwu Ke

Zhiwu Ke received the Ph.D. degree in power communication engineering from Huazhong University of Science and Technology, Wuhan, China, in 2010. He is currently a Senior Engineer at Science and Technology on Thermal Energy and Power Laboratory; and Wuhan Second Ship Design and Research Institute, Wuhan, China. His current research interests include control and fault diagnosis of complex power systems, big data analysis, and embedded systems.

Yanhui Liu

Yanhui Liu received the B.S. and M.S. degrees in automation from Shenyang Aerospace University, Shenyang, China, in 2016 and 2019, respectively. He is currently pursuing the Ph.D. degree in automation at Northeastern University, Shenyang, China. His research interests include event-triggered control and switched systems.