Analysis And Control For Uncertainty T-S Fuzzy Singular Systems With Time-delay Under Actuator Saturation

In practical engineering,since the controlled object is interference,multiple levels and various uncertainties,the system presents the nonlinearity.It is difficult to describe the nonlinear systems with the precise mathematical language.T-S fuzzy generalized system model can overcome the difficulties of nonlinear system description.In this paper,we studied a class of uncertain T-S fuzzy generalized delay saturation system allows and control problem,the robust H_?control,passive control,the finite time dissipative control theory and the method is applied to the fuzzy control theory.Based on singular value decomposition method,using multiple Lyapunov functions,LMI method,liberty matrix inequality method,convex combination lemma,some excellent performance index are analyzed,and designed the controller.All these have important academic value and broad application prospects.The main content of the paper briefly summarized as follows:Firstly,the paper discussed robust H_?control for a class of uncertain discrete T-S fuzzy singular system under saturated,given stability conditions for uncertain discrete singular T-S fuzzy systems,considering the PDC control design.Finally,prove the feasibility and advantage of this method through an example.Secondly,in view of discrete T-S fuzzy singular system with time-delay under saturation,considered the problem of passive PDC controller design.Based on singular value decomposition method,by constructing Lyapunov function and the recent inequalities such that the closed-loop system is asymptotically stable and possessing the time-delay dependent passive index.And by solving the linear matrix inequality(LMI)obtain the controller gain matrix.The largest attract domain problem is translated into a convex optimization problem.Finally,based on free matrix method and the characteristics of the matrix inequality convex,constructing Lyapunov function,studied the finite time dissipative control for uncertain T-S fuzzy singular saturation system with time-delay,the closed-loop system is not only finite time bounded and have sufficient conditions of dissipation performance.Then the controller gain matrix is obtained by LMI technology.