Delay-dependent stabilization for stochastic fuzzy systems with time delays

Authors:
Baoyong Zhang;Shengyuan Xu;Guangdeng Zong;Yun Zou
Affiliations:
Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China and Institute of Automation, Qufu Normal University, Qufu 273165, Shandong, PR China;Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

This paper is concerned with the delay-dependent stabilization problem for a class of time-delay stochastic fuzzy systems. The time delays are assumed to appear in both the state and the control input. The purpose is the design of a state-feedback fuzzy controller such that the resulting closed-loop system is asymptotically stable in the mean square. A delay-dependent condition for the solvability of this problem is obtained in terms of relaxed linear matrix inequalities (LMIs). By solving these LMIs, a desired controller can be obtained. Finally, a numerical example is given to demonstrate the effectiveness of the present results.