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		Jianguo GUO,Juntao LI,Fengqi ZHOU,Jun ZHOU.[en_title][J].Control Theory and Technology,2005,3(3):271~274.[Copy]

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JianguoGUO,JuntaoLI,FengqiZHOU,JunZHOU
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Received:November 23, 2004Revised:August 25, 2005

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Stability analysis and design of fuzzy control system with bounded uncertain delays

Jianguo GUO, Juntao LI, Fengqi ZHOU, Jun ZHOU

(College of Astronautics,Northwestern Polytechnic University,Xi'an Shaanxi 710072,China;Department of Mathematics, Henan Normal University, Xinxiang Henan 453002,China)

Abstract:

Fuzzy control problems for systems with bounded uncertain delays were studied.Based on Lyapunov stability theory and matrix theory,a nonlinear state feedback fuzzy controller was designed by linear matrix inequalities (LMI) approach,and the global exponential stability of the closed-loop system was strictly proved.For a fuzzy control system with bounded uncertain delays,under the global exponential stability condition which is reduced to p linear matrix inequalities,the controller guarantees stability performances of state variables.Finally,the simulation shows the validity of the method in this paper.

Key words: Delayed fuzzy control system Stability Linear matrix inequalities (LMI)