H-infinity fuzzy estimation for a class of nonlinear discrete-time dynamicsystems

This paper studies H-infinity fuzzy filtering design for state estimation o f nonlinear discrete-time systems with bounded but unknown disturbances. Fi rst, the Takagi and Sugeno fuzzy model is proposed to represent a nonlinear system. Next, using a linear matrix inequality (LMI) approach, the H-infin ity fuzzy filtering problems are characterized in terms of a linear matrix inequality problem (LMIP). The LMIP can be efficiently solved using convex optimization techniques. Simulation examples are given to illustrate the de sign procedure and the applicability of the proposed method. The results in dicate that the proposed method is suitable for practical applications.