H2 Control design for fuzzy dynamic systems via LMI

This paper addresses the robust H_2 control design of complex nonlinear systems which can be represented by a fuzzy dynamic model. Based on a continuous Lyapunov function and a piecewise continuous Lyapunov function respectively, two kinds of new control design methods are proposed using Lyapunov stability theory, robust H_2 control theory and Linear Matrix Inequalities (LMI) techniques. It is shown that the closed loop fuzzy control system is asymptotically stable with a white noise attenuation. The robust H_2 fuzzy controller can be obtained by using the LMI techniques. An example is given to demonstrate the application of the proposed design methods.