Event-triggered Extended Dissipative Control for Networked Singular Systems

Abstract

In this paper, an event-triggered extended dissipative control problem for networked singular systems is investigated, where the extended dissipativity analysis unifies the H performance, L2L performance, passivity, (Q, S, R)-dissipativity in one framework. Under the event-triggered scheme, the closed-loop system is modeled as a time-delay system. Some sufficient conditions for extended dissipativity are developed and presented in terms of linear matrix inequalities (LMIs). Then the design of the state feedback controller becomes a matter of solving a set of LMIs. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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Correspondence to Jianwei Xia.

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Recommended by Associate Editor Ohmin Kwon under the direction of Editor Jessie (Ju H.) Park.

This work was supported by the National Natural Science Foundation of China under Grants 61973148, 61773191,Natural Science Foundation of Shandong Province under Grant ZR2018MF028.

Meiyu Li received her B.S. degree in mathematics and applied mathematics from Dezhou University, Dezhou, China, in 2016. She is currently a graduate student of School of Mathematical Sciences, Liaocheng University. Her current research interests include Networked control systems, event-triggered control, etc.

Jianwei Xia is a professor of the School of Mathematics Science, Liaocheng University. He received a Ph.D. degree in automatic control from Nanjing University of Science and Technology in 2007. From 2010 to 2012, he worked as a Postdoctoral Research Associate in the School of Automation, Southeast University, Nanjing, China. From 2013 to 2014, he worked as a Postdoctoral Research Associate in the Department of Electrical Engineering, Yeungnam University, Kyongsan, Korea. His research topics are robust control, stochastic systems and neural networks.

Junsheng Zhao received his B.S. degree in mathematics from Liaocheng University in 2003, an M.S. in mathematics from Qufu Normal University and a D.E. in the School of Automation, Southeast Univer sity in 2015. Since 2006, he has been with Liaocheng University, China, where he is currently an associate Professor. His current research interests include stochastic control and neural networks.

Huasheng Zhang is an Associate Professor of the School of Mathematics Science, Liaocheng University. He received an M.Sc. degree from Shandong Normal University, China, in 2006, and received a Ph.D. degree in automatic control from Shanghai University in 2009. His current research interests include robust control and filtering, time-delay systems, stochastic systems and neural networks.

Hao Shen received his Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, Nanjing, China, in 2011. From February 2013 to March 2014, he was a Post-Doctoral Fellow with the Department of Electrical Engineering, Yeungnam University, Korea. Since 2011, he has been with Anhui University of Technology, China, where he is currently a Professor and a Doctoral Supervisor. His current research interests include stochastic hybrid systems, complex networks, fuzzy systems and control, nonlinear control. Dr. Shen has served on the technical program committee for several international conferences. He is an Associate Editor/Guest Editor for several international journals, including IEEE ACCES, Journal of The Franklin Institute, Applied Mathematics and Computation, Transactions of the Institute Measurement and Control and Mathematical Problems in Engineering. Prof. Shen was a recipient of the Highly Cited Researcher Award by Clarivate Analytics (formerly, Thomson Reuters) in 2019.

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Li, M., Xia, J., Zhao, J. et al. Event-triggered Extended Dissipative Control for Networked Singular Systems. Int. J. Control Autom. Syst. 19, 382–391 (2021). https://doi.org/10.1007/s12555-020-0140-3

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Keywords

  • Event-triggered scheme
  • extended dissipative
  • networked singular system
  • stability