Robust H{sub}∞ Fuzzy Control for a Class of Time-Delay Fuzzy Bilinear Systems with an Additive Disturbance

摘要

The robust H{sub}∞ fuzzy controller design problem is studied for a class of time-delay fuzzy bilinear systems (FBSs) with an additive disturbance in this paper. The parallel distributed compensation (PDC) method is adopted to design a fuzzy controller which ensures the robust asymptotic stability of the time-delay FBS with an additive disturbance and guarantees an H{sub}∞ norm bound constraint on disturbance attenuation. Utilizing the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated in the form of linear matrix inequalities (LMIs). Finally, the validity and effectiveness of the proposed schemes are demonstrated by simulations.