Fuzzy Static Output Control of T–S Fuzzy Stochastic Systems via Line Integral Lyapunov Function

Considering some unmeasurable states, a fuzzy static output control problem of nonlinear stochastic systems is discussed in this paper. Based on modelling approach, Takagi–Sugeno (T–S) system, constructed by family differential equations and membership functions, applied to represent systems. Parallel distributed compensation (PDC) technology used construct the controller. A line-integral Lyapunov function (LILF) derive sufficient conditions for guaranteeing asymptotical stability mean square. From LILF, potential conservatism produced derivative eliminated increase relaxation conditions. Furthermore, those are transferred into linear matrix inequality (LMI) form via projection lemma. According convex optimization algorithm, feasible solutions directly obtained establish Finally, numerical example demonstrate effectiveness usefulness proposed design method.