Observer-Based Hinfinity Controller Designs for T-S Fuzzy Systems

H∞control designs for T-S fuzzy systems have been studied, based on the observers, the systems which composed of the fuzzy observers and the error systems are proposed. Some new sufficient conditions which guarantee the quadratical stability and the existence of the state feedback H∞ control for the systems are proposed. The condition in the theorem 3 is in the form of a matrix inequality, which is simple and converted to the LMIs that can be solved by using MATLAB.