Stability Analysis And Control Of Switched Stochastic Systems Based On Fuzzy Model

Switching system is easy to understand and analyze,it is one of the effective tools to deal with complex control problems.Arbitrary precision can be achieved to approximate the actual system by using T-S fuzzy model.Stochastic system is the stochastic factor in the input,output or interference of the system,the stochastic modeling can depict the actual system more realistically.The switching stochastic system based on T-S fuzzy model incorporates the concepts of switching,fuzzy and stochastic,it can vividly describe the motion state and motion behavior of nonlinear system.The results are compared with those of stochastic switching control and fuzzy control,there are few research results which combines the three methods on switching system,T-S fuzzy system and stochastic system.This paper mainly studies the stability problem for a classes of switched stochastic systems based on T-S model,its research contents are as follows:(1)The stability problem for a class of switched stochastic systems based on T-S model is studied.The state feedback controller is designed for local fuzzy model by Lyapunov function method,linear matrix inequality(LMI)and It? formula,the feasibility and effectiveness of the proposed method are verified by the simulation of MATLAB/SIMULINK software.(2)The uncertainty is common phenomenon in the process of industry.The stability problem of uncertain switched fuzzy stochastic systems based on T-S model is studied.In uncertain T-S fuzzy switching stochastic systems,state feedback controller design for continuous stochastic fuzzy systems for local model,the sufficient conditions for the asymptotic stability of the closed-loop system under the design switching strategy are given.(3)The stability problem of T-S fuzzy switched stochastic systems with uncertainties and time-delay is studied.The model is modeled for T-S fuzzy switched stochastic systems with both uncertain and time-delay terms,a state feedback controller for local model is designed,the sufficient conditions for the asymptotic stability of the closed-loop system under the design switching strategy are given.(4)The stability problem of T-S fuzzy switched stochastic systems with parameter uncertainties and input time-delay is studied by using the idea of switching strategy.The controller design problem of uncertain T-S fuzzy switched stochastic systems with input time-delay is considered,designing the switching law to obtain the asymptotic stability of the closed-loop system stability conditions,the uncertain switched fuzzy stochastic time-delay switched system is asymptotically stable.