New Approach on Robust Delay-Dependent H-infinity Control for Uncertain T-S Fuzzy Systems With Interval Time-Varying Delay

作者：Peng Chen^*; Yue Dong; Tian Yu Chu

来源：IEEE Transactions on Fuzzy Systems, 2009, 17(4): 890-900.

DOI：10.1109/TFUZZ.2008.926586

• H-infinity control
• interval time-varying delay
• linear matrix inequalities (LMIs)
• Takagi-Sugeno (T-S) fuzzy systems
• time-delay systems

This paper investigates the robust H-infinity 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.

• 出版日期2009-8
• 单位南京师范大学