Abstract
The problem of robust stabilization for a class of uncertain networked control systems (NCSs) with nonlinearities satisfying a given sector condition is investigated in this paper. By introducing a new model of NCSs with parameter uncertainty, network-induced delay, nonlinearity and data packet dropout in the transmission, a strict linear matrix inequality (LMI) criterion is proposed for robust stabilization of the uncertain nonlinear NCSs based on the Lyapunov stability theory. The maximum allowable transfer interval (MATI) can be derived by solving the feasibility problem of the corresponding LMI. Some numerical examples are provided to demonstrate the applicability of the proposed algorithm.
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This work was supported by the National Natural Science Foundation of China (No.60421002) and the National High Technology Research and Development Program of China under grant 863 Program (2006AA04 Z182).
Jinfeng GAO received her B.S. degree, M.S. degree and Ph.D. degree from Hebei University of Science & Technology, Zhejiang University of Technology and Zhejiang University in 2000, 2003 and 2008, respectively. She is a lecturer in the institute of automation now, Zhejiang Sci-Tech University, China. Her research interests include Lurie systems, networked control systems and Robust control.
Hongye SU received his B.S. degree from Nanjing University of Chemical Technology in 1990, and received M.S. and Ph.D. degrees from Zhejiang University in 1993 and 1995, respectively. Now he is a professor in Institute of Advanced Process Control at Zhejiang University. His research interests include robust control, time-delay systems, nonlinear systems, process control and application.
Xiaofu JI received the B.S. degree in Computer Science and Applications from Lanzhou University of Science and Technology, China, in 2000, the M.S. degree in Control Theory and Control Engineering from Jiangsu University, China, in 2003, and the Ph.D. degree in Control Science and Engineering from Zhejiang University, China, in 2006. He is currently a lecturer with School of Electrical and Information Engineering, Jiangsu University, China. He has published several papers in the areas of his research interests, such as robust control, singular control theory and linear systems with saturated nonlinearities.
Jian CHU received his B.S. degree in Chemical Engineering from Zhejiang University in 1982 and Ph.D. degree from Kyoto University in 1989. Since 1993, he has been as a professor in Industrial Process Control at Zhejiang University. His research interests include robust control, nonlinear systems, process control and application.
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Gao, J., Su, H., Ji, X. et al. Robust stabilization for a class of nonlinear networked control systems. J. Control Theory Appl. 6, 300–304 (2008). https://doi.org/10.1007/s11768-008-6164-5
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DOI: https://doi.org/10.1007/s11768-008-6164-5