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
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fuzzy controller can be obtained by using the LMI techniques. An example is given to demonstrate the application of the proposed design methods.
