Abstract
This paper focuses on a class of T-S fuzzy interconnected systems with time delays and time-varying parameter uncertainties. Observer-based output feedback decentralized controller is designed such that the closed-loop interconnected system is asymptotically stable in the Lyapunov sense in probability for all admissible uncertainties and time delays. Sufficient conditions for robustly asymptotically stability of the systems are given in terms of a set of linear matrix inequalities (LMIs).
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This work was supported by the National Nature Science Foundation of China (No. 60474038, No.70431002) and the NSF for Distinguished Young Scholars of P. R. China (No. 60225013).
Yanxin ZHANG was born in China, in 1976. She received her B.S. degree in the department of Mathematics, Liaoning Jinzhou Teacher College, China, in 1998, and M.S. and Ph.D. degrees in the department of Automation, Northeastern University, China, in 2000 and 2002, respectively. From 2002 to 2004, she was a postdoctoral fellow in the department of Automation, Shanghai Jiaotong University, China. From 2004, She has been an Associate Professor in Advanced Control Systems Lab of the School of Electronics and Information Engineering Beijing JiaoTong University. Her current research includes Fuzzy Adaptive Control for Complex Large-Scale Systems, Reliable Control, and Complex network control.
Zhongsheng HOU received his B.S. and M.S. degrees in Applied Mathematics from Jilin University of Technology, Changchun, in 1983 and 1988, respectively, and the Ph.D degree in control theory from Northeastern University, Shenyang, in 1994. From 1988 to 1992, He was a postdoctoral fellow at the Harbin Institute of Technology, Harbin, and a visiting scholar in the Yale University, USA, from 2002 to 2003. In 1997, he joined the Beijing Jiao Tong University, Beijing, and is currently a professor in Advanced Control Systems Lab of the School of Electronics and Information Engineering. His research interests lie in the fields of the model free adaptive control, adaptive/learning control, and intelligent transportation systems. He is the author of the monograph Nonparametric Model and its Adaptive Control Theory published by Science Press of China, and the holder of the patent invention Model Free Control Technique (ZL 94 1 12504. 1) issued in 2000.
Xiaofan WANG was born in China, in 1967. He received his B.S. degree in mathematics department of Suzhou University, China in 1986, M.S. degree in mathematics department of Nanjing Teacher University, China in 1991, and Ph.D. degrees in the department of Automation, Southeastern University, China in 1996. From 1996 to 1998, He was a postdoctoral fellow in the department of Automation, Nanjing University of Science and Technology, China. From 1998 to 2000, he was an Assistant Professor in the Department of Automation, Nanjing University of Science and Technology and the Department of electrical Engineering, Hong Kong City University, respectively. From 2000 to 2001, he was a postdoctoral fellow in the Department of mechanical Engineering, Bristol University, U.K. From 2002, he has been a professor of Shanghai Jiaotong University, and Hong Kong City University, respectively. Now he is an Associate Editor of IEEE Transaction on Circuits & Systems-II, and an Associate Editor of Dynamics of Continuous, Discrete & Impulsive Systems-B. His current research includes Complex network control and Application.
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Zhang, Y., Hou, Z. & Wang, X. Decentralized state observer scheme for uncertain time-delay T-S fuzzy interconnected systems. J. Control Theory Appl. 4, 272–276 (2006). https://doi.org/10.1007/s11768-006-4061-3
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DOI: https://doi.org/10.1007/s11768-006-4061-3