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A switched system approach to stabilization of networked control systems

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Abstract

A switched system approach is proposed to model networked control systems (NCSs) with communication constraints. This enables us to apply the rich theory of switched systems to analyzing such NCSs. Sufficient conditions are presented on the stabilization of NCSs. Stabilizing state/output feedback controllers can be constructed by using the feasible solutions of some linear matrix inequalities (LMIs). The merit of our proposed approach is that the behavior of the NCSs can be studied by considering switched system without augmenting the system. A simulation example is worked out to illustrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, China

    Mei Yu, Long Wang & Guangming Xie

  2. Department of Automation, North China Electric Power University, Beijing, 102206, China

    Mei Yu

Authors
  1. Mei Yu
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  2. Long Wang
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  3. Guangming Xie
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Additional information

This work is supported by the National Natural Science Foundation of China (No. 60528007, 10372002, 60274001, 60304003), the National Key Basic Research and Development Program (No. 2002CB312200).

Mei Yu received B.S. degree in 1999 from Department of Mathematics, M.E. degree in 2002 from Institution of Automation, Qufu Normal university, and Ph.D. degree in 2005 from the Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China. She is presently working in the North China Electric Power University. Her research interests include hybrid and switched systems, networked control systems, time-delay systems and robust control.

Long WANG was born in Xian, China on Feb. 13, 1964. He received his Doctor’s degrees in Dynamics and Control from Peking University in 1992. He has held research positions at the University of Toronto, Canada, and the German Aerospace Center, Munich, Germany. He is currently Cheung Kong Chair Professor of Dynamics and Control and Director of Center for Systems and Control of Peking University. He is also Vice-Chairman of Chinese Control Theory Committee and Vice-Director of National Key Laboratory of Complex Systems and Turbulence. He is a panel member of the Division of Information Science, National Natural Science Foundation of China, and a member of IFAC (International Federation of Automatic Control) Technical Committee on Networked Systems. He is in the editorial boards of Progress in Natural Science, Acta Automatica Sinica, Journal of Control Theory and Applications, Control and Decision, Information and Control, Journal of Applied Mathematics and Computation, International Journal of Computer Systems, etc. His research interests are in the fields of networked systems, hybrid systems, swarm dynamics, cognitive science, collective intelligence, and biomimetic robotics.

Guangming XIE received the B.S. degrees in both applied mathematics and computer science and technology, the M.E. degree in control theory and control engineering, the Ph.D. degree in Control Theory and Control Engineering from Tsinghua University, Beijing, China in 1996, 1998, 2001, respectively. Then he worked as a post-doctoral research fellow in the Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China from July, 2001 to June, 2003. In July, 2003, He joined in the Center as a lecturer. He is presently an associate professor in Peking University now. His research interests include hybrid and switched systems, networked control systems, cooperative control, multi-robot systems and intelligent optimization.

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Yu, M., Wang, L. & Xie, G. A switched system approach to stabilization of networked control systems. J. Control Theory Appl. 4, 86–95 (2006). https://doi.org/10.1007/s11768-006-5290-1

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  • DOI: https://doi.org/10.1007/s11768-006-5290-1

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