H<inf>∞</inf> fuzzy filter for nonlinear sampled-data system using fuzzy Lyapunov function

Abstract

This paper proposes an H ∞ fuzzy filter for nonlinear sampled-data system. The nonlinear system is represented based on the Takagi-Sugeno (T-S) fuzzy model. An error system between the nonlinear sampled-data system and fuzzy filter is presented. Using a fuzzy Lyapunov function, sufficient conditions for showing H ∞ performance of the fuzzy filter are proposed. The sufficient conditions are derived in terms of linear matrix inequalities (LMIs) which can be easily solved using convex optimization technique. Finally, simulation example is provided to show the feasiblity of the proposed method.