Volume 4, Number 1, 96-101, DOI: 10.1007/s11768-006-5205-1

Exponential stabilization of networked control systems and design of switching controller

Dan Ma and Jun Zhao

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Abstract

This paper deals with the problem of switching between an open-loop estimator and a close-loop estimator for compensating transmission error and packet dropout of networked control systems. Switching impulse is considered in order to reduce the error between theory and application, a sufficient condition for exponential stabilization of networked control systems under a given switching rule is presented by multiple Lyapunov-like functions. These results are presented for both continuous-time and discrete-time domains. Controllers are designed by means of linear matrix inequalities. Simulation results show the feasibility and efficiency of the proposed method.

Keywords  Networked control systems - Dropout - Switching controller - Reset map matrix - Multiple Lyapunov-like functions - Exponential stabilization

This work was supported by the National Natural Science Foundation of China (No.60574013, 60274009), and the Natural Science Fundation of Liaoning Province (No.20032020).
Dan Ma received his M. S. degree from Shenyang University of Technology in 2004. She is now a Ph. D. candidate in Northeastern University. Her research interests include networked control systems and hybrid dynamical systems.
Jun Zhao received the Ph.D in Control Theory and Applications in 1991 at Northeastern University, China. From 1992 to 1993 he was a postdoctoral fellow at the same University. Since 1994 he has been with School of Information Science and Engineering, Northeastern University, China, where he is currently a professor. From February 1998 to February 1999, he was a visiting scholar at the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign. He has held a Research Fellow position at Department of Electronic Engineering, City University of Hong Kong. His main research interests include switched systems, nonlinear systems, geometric control theory, and robust control.

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