Robust Fuzzy Control for a Class of Uncertain Discrete Fuzzy Bilinear Systems

Nat. Cheng Kung Univ., Tainan
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) (Impact Factor: 3.78). 05/2008; DOI: 10.1109/TSMCB.2007.914706
Source: IEEE Xplore

ABSTRACT The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an Hinfin norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.