Finite-Time Control of T-S Fuzzy Stochastic Nonlinear Systems

In this paper, the input-output finite-time stability (IO-FTS) problem for T-S fuzzy stochastic nonlinear systems with external disturbances was investigated. A new sufficient condition for finite-time stability for T-S fuzzy systems was derived. A non-parallel distributed compensated state feedback controller was designed and the sufficient conditions to ensure the stability of the system were obtained by using the Lyapunov function and linear matrix inequality method, and then the controller gain matrix was obtained by solving the linear matrix inequality. Finally, the validity of the obtained results is proven by a practical example.