Fuzzy control of multiplicative noised nonlinear systems subject to actuator saturation and H∞ performance constraints

In this paper, a H∞ performance constrained fuzzy control approach is investigated for a class of nonlinear stochastic systems subject to actuator saturation. The nonlinear stochastic systems considered in this paper are represented by Takagi-Sugeno fuzzy models with multiplicative noises. According to H∞ performance constraint and actuator saturation, it is shown that the stabilization of multiplicative noised Takagi-Sugeno fuzzy models can be formulated as a convex optimization problem subject to linear matrix inequalities. The proposed fuzzy control method is accomplished based on the Lyapunov stability theory. Simulation study on a continuous-time nonlinear stochastic ship steering system is given to show the performances of the proposed H∞ performance constrained fuzzy control methodology.