Delay-Dependent Guaranteed Cost Control for Interval Type-2 T-S Fuzzy Descriptor System with Uncertain and Time-Delay

This paper studies the issue of delay-dependent guaranteed cost controller design for a kind of uncertain descriptor systems with time-delay described by the interval type-2 (IT2) Takagi-Sugeno (T -S) fuzzy model. By using the Lyapunov stability method and combining with the theory of I T2 fuzzy sets, a sufficient condition on the existence of a delay-dependent guaranteed cost controller is given to guarantee the closed-loop system not only admissible but also an appropriate performance index. The design conditions on the time-delay guaranteed cost controller are expressed as linear matrix inequality (LMI) by introducing slack matrices and also considering the information of uncertainties. Finally, in order to illustrate the effectiveness of the proposed approach a numerical example is provided.