Abstract
This paper investigates the problem of event-triggered finite-time extended dissipative control for a class of switched linear systems. We propose a novel event-triggered method that allows frequent system switching over an event-triggered interval, which is different from the previous work that only one switching happened over the event-triggered interval. By average dwell time and a novel controller-mode-dependent Lyapunov function method, we give sufficient conditions for finite-time extended dissipative analysis of the closed-loop switched linear system. LMIs are used for the design of the controller. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
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The work was supported by the National Natural Science Foundation of China (Grants no. 61971100).
Hui Gao received his B.E degree from University of Jinan, Jinan, China, in 2015, and an M.S. degree in system science from Liaocheng University, Liaocheng, China, in 2018. He is currently working towards a Ph.D. degree in circuits and systems at the University of Electronic Science and Technology of China, Chengdu. His current research interests include switched systems, robust control and event-triggered control.
Kaibo Shi received his Ph.D. degree from the School of Automation Engineering, University of Electronic Science and Technology of China. He is a professor of School of Information Sciences and Engineering, Chengdu University. From September 2014 to September 2015, he was a visiting scholar at the Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada. He was a Research Assistant with the Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Taipa, from May 2016 to Jun 2016 and January 2017 to October 2017. He was also a Visiting Scholar with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea, from December 2019 to January 2020. His current research interests include stability theorem, robust control, sampled-data control systems, networked control systems, Lurie chaotic systems, stochastic systems and neural networks. He is the author or coauthor of over 60 research articles. He is a very active reviewer for many international journals.
Hongbin Zhang received his B.Eng. degree in aerocraft design from Northwestern Polytechnical University, Xian, 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, in 2002 and 2006, respectively. He has been with the School of Information and Communication Engineering, University of Electronic Science and Technology of China, since 2002, where he is currently a professor. From August 2008 to August 2010, he has served as a research fellow with the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong. His current research interests include intelligent control, autonomous cooperative control and integrated navigation.
Jianwei Xia received his M.S. degree in automatic engineering from Qufu Normal University, Qufu, China, in 2004, and a Ph.D. degree in automatic control from the Nanjing University of Science and Technology, Nanjing, China, in 2007. He is a Professor with the School of Mathematics Science, Liaocheng University, Liaocheng, China. From 2010 to 2012, he was a Postdoctoral Research Associate with the School of Automation, Southeast University, Nanjing. From 2013 to 2014, he was a Postdoctoral Research Associate with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea. His current research interests include nonlinear system control, robust control, stochastic systems, and neural networks.etc.
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Gao, H., Shi, K., Zhang, H. et al. Finite-time Event-triggered Extended Dissipative Control for a Class of Switched Linear Systems. Int. J. Control Autom. Syst. 19, 2687–2696 (2021). https://doi.org/10.1007/s12555-020-0652-x
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DOI: https://doi.org/10.1007/s12555-020-0652-x