Variance and passivity constrained fuzzy control for continuous perturbed fuzzy systems with multiplicative noises

In this paper, a fuzzy controller design problem for continuous perturbed nonlinear stochastic systems with state multiplicative noises is investigated. In order to simultaneously achieve variance and passivity constrained performances, some sufficient conditions are derived based on the Lyapunov theory. These sufficient conditions are in term of the linear matrix inequality forms that can be solved by the convex optimal programming algorithm. Besides, the parallel distributed compensation concept is employed to construct the fuzzy controllers. Finally, a numerical simulation example is given to show the effectiveness and applicability of the proposed fuzzy control methodology.