Reliable H∞ state feedback controller design for T-S fuzzy systemsin finite frequency domain

This paper studies the problem of reliable H_∞ controller design for continuous-time Takagi-Sugeno (T-S) fuzzy systems. Actuator stuck type faults are considered, and a parallel distributed compensation (PDC) controller is designed which guarantees that the closed-loop system is stable for both fault-free and actuator-stuck cases. Different from the existing approaches, the controller is designed in finite frequency domain (since the frequency of stuck fault is zero). With the aid of the generalized Kalman-Yakubovich-Popov (GKYP) lemma, the design problem is formulated as solving a set of linear matrix inequalities (LMIs). A simulation example is given to illustrate the effectiveness of the method proposed in this paper.