LMI-based fuzzy control for a class of time-delay discrete fuzzy bilinear system

This paper presents robust fuzzy controllers for a class of T-S time-delay discrete fuzzy bilinear systems (DFBSs) with disturbance which ensures the robust asymptotic stability of the closed-loop system and guarantees an H_infin norm bound constraint on disturbance attenuation. Firstly, we proposed a H_infin fuzzy controller to stabilize the T-S DFBS with disturbance. Secondly, based on the Schur complement and some variable transformation, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Finally, the validity and applicability of the proposed schemes are demonstrated by simulations.