Robust Filtering And Control For Nonlinear Switched Systems With Time Delays

As a kind of important hybrid system switched systems,it consists of a limited number of subsystems and exchange rules that can be switched between subsystems.In the actual industrial production process some examples of switched systems are automated highway systems,constrained robotics,power systems and power electronics,transmission and stepper motors and so on.Saturation characteristics of such nonlinear characteristics have an important impact on the stability of the system.For the saturation problem the study of the previous literature focused on the stability of the system analysis and controller design.However,there are few researches on sensor saturation constraints,in this paper,robust filtering and control of nonlinear systems with time-delay based on fan-shaped bounded saturation function and Lipschitz nonlinear function are studied.The sufficient conditions for the stability of nonlinear systems with time-delay are obtained by applying the Lyapunov stability theory and the minimum average dwell time method.And solve the relevant filter and controller parameters.The main contents as follows:Firstly,a robust and memory-based H? state feedback controller and L₂-L? dynamic output feedback controller are designed for nonlinear systems with time-delay.Based on the stability theory of Lyapunov function the sufficient conditions for the asymptotic stability of the augmented system are given and the related controller parameters are solved.The feasibility of the proposed method is verified by using LMI technology.Secondly,aiming at the design of robust H? and L₁ filters for a class of switched nonlinear systems with time-delay under the constraint of sensor saturation,it is assumed that the nonlinear function in the nonlinear time-delay system satisfies the Lipstitz constraint and has a bounded norm.Based on the fan-shaped bounded saturation function and state augment method,a filter error system is established,and the Lyapunov function with time-dependent delay is constructed under the condition of the average dwell time method to ensure the exponential stability of the filter error system.The sufficient conditions.Based on the LMI technique,the robust L₁ filter design problem with nonlinear time-delay switching is transformed into the convex optimization problem of LMIs.Numerical examples show the effectiveness of the proposed method.Finally,the robust L₁ and L₂-L? filters design for the nonlinear time-delay switched systems with sensor saturation in networked environment are considered.The delay and packet loss problems in network environment are treated as time-varying delay.Using theaverage residence time method and Lyapunov functional method,the sufficient conditions to satisfy the existence of relevant performance indexes are derived.The feasible filter parameter matrix is obtained by LMI technique.The final simulation verifies the feasibility of the proposed method.