Fuzzy Lyapunov Function-based H_∞ Fuzzy Filter Design for Sampled-data Systems under Imperfect Premise Matching

摘要

This paper proposes a fuzzy Lyapunov function-based H_∞ fuzzy filtering method for sampled-data systems under imperfect premise matching. In conventional methods, lots of errors which cause conservative problems occurred in the process of the immeasurable part of premise variables. Furthermore, since the former filter design is based on common quadratic Lyapunov function, more conservative characteristics arise. In order to resolve this problem, fuzzy Lyapunov functions based H_∞ filter design under imperfect premise matching is proposed. Sufficient conditions for asymptotic stability and guaranteeing H_∞ disturbance attenuation performance are proposed in terms of linear matrix inequalities (LMIs) Finally, the proposed method is verified by the simulation example.