New approach on robust delay-dependent H∞ control for uncertain T-S fuzzy systems with interval time-varying delay

Authors:
Chen Peng;Dong Yue;Yu-Chu Tian
Affiliations:
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China;School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China;School of Information Technology, Queensland University of Technology, Brisbane, Australia
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2009

Citing 19
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Abstract

This paper investigates the robust H∞ control for Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delay. By employing a new and tighter integral inequality and constructing an appropriate type of Lyapunov functional, delay-dependent stability criteria are derived for the control problem. Because neither any model transformation nor free weighting matrices are employed in our theoretical derivation, the developed stability criteria significantly improve and simplify the existing stability conditions. Also, the maximum allowable upper delay bound and controller feedback gains can be obtained simultaneously from the developed approach by solving a constrained convex optimization problem. Numerical examples are given to demonstrate the effectiveness of the proposed methods.