Finite-Time Control For Singular T-S Fuzzy System

Fuzzy system can solve the problem of nonlinear,variable structure and external distur-bance in the actual project.The model of T-S fuzzy system not only develops fuzzy control,but also can describe more nonlinear system problems.On the other hand,because many systems are required to study at an infinite time interval,the study of finite time is more meaningful to the study of the actual system.Therefore,this work mainly investigates the finite-time bounded problem of normal and singular T-S fuzzy systems,and time-varying de-lay,uncertainty,and input saturation are considered in the systems.Multi-lyapunov function is used to solve LMI and optimization problems,_?performance and dissipative perfor-mance are studied,ideal controller is designed.Firstly,observer-based finite-time_?bounded problem is studied for a class of T-S fuzzy time-delay systems with output constraint.The multi-lyapunov function is constructed to obtain sufficient conditions of finite-time bounded and_?performance of the closed-loop system.Then,by solving LMI problem,_?controller gains and observer gains can be obtained.Secondly,by introducing free matrix and applying singular value decomposition method,the problem of sliding mode finite-time bounded for uncertain T-S fuzzy model with time-delay is studied.The design method of finite-time sliding mode controller is presented,and numerical examples demonstrated the validity and novelty of the proposed method.Finally,the finite-time dissipative bounded of singular T-S fuzzy system with output constraint and time-varying delay is investigated.Considering the dynamic output feedback control(DPDC),the sufficient criteria of finite-time bounded base dissipative control are obtained by constructing the proper Lyapunov function and using decoupling method.Using LMI method and convex optimization method,the controller gain matrix is obtained and the solution of the maximum attraction domain is solved.