Observer-based Input-Output Finite-Time Control of T-S Fuzzy Stochastic Systems

This paper describes the observer-based input-output finite-time stability (IO-FTS) of Takagi-Sugeno (T-S) fuzzy stochastic nonlinear systems with external disturbances and Brownian motions. For the general stochastic systems, a sufficient condition for IO-FTS for stochastic nonlinear systems. Therefore, we studies the input-output finite-time control (IO-FTC) of T-S fuzzy stochastic systems. Since the state variables of the system cannot be measured, a fuzzy observer is designed to estimate the unknown state variables. A singular value decomposition (SVD) method is used to solve the IO-FTC problem. The IO-FTS of T-S fuzzy stochastic system was realized by lyapunov function and linear matrix inequality (LMI), and the gain matrix of observer and controller was obtained. Finally, one example is given to verify the validity of the final results.