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JianchenLIU,JingZHANG,YufangZHENG,MinHE
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(College of Electrical and Information Engineering, Hunan University; Institute of Information and Electrical Engineering, Hunan University of Science and Technology;Department of Electronic and Electrical Engineering, Taizhou Vocational and Technical College)
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Received:April 19, 2009Revised:March 17, 2010
基金项目:This work was supported by the National Natural Science Foundation of China (No. 60634020).
Robust H-infinity control for discrete-time T-S fuzzy systems with input delay
Jianchen LIU,Jing ZHANG,Yufang ZHENG,Min HE
(College of Electrical and Information Engineering, Hunan University; Institute of Information and Electrical Engineering, Hunan University of Science and Technology;Department of Electronic and Electrical Engineering, Taizhou Vocational and Technical College)
Abstract:
Delay-dependent robust H-infinity control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with interval time-varying input delay is considered. By constructing a new Lyapunov-Krasovskii functional and using convex combination method, a delay-dependent condition is established, under which the resulted closed-loop systems via a fuzzy state feedback are robust asymptotically stable with given H-infinity norm bound. Then, an iterative algorithm based on the modified SLPMM algorithm is proposed to solve the fuzzy H-infinity controller. Finally, a numerical example is used to illustrate the effectiveness and feasibility of the approaches proposed.
Key words:  T-S fuzzy system  Input delay  Discrete-time system  H-infinity control