| The switched system is a hybrid dynamical system consisting of a finite number of subsystems and a logical rule that orchestrates switching between these subsystems,and is widely applications in the natural sciences,engineering systems.In the actual project control problems,switched systems inevitably take some time to identify the active subsystem and apply the matched controller,the switching instants of controllers may lag behind the subsystems switching,which called asynchronous switched control.If we don’t consider the asynchronous switched behavior in developing switched control of switched systems,usually can not achieve the expected performance of switched systems,even can not guarantee the stability of the systems.Actuator saturation is a typical non-linear characteristic.In fact,due to physical constraints and the need for security,almost controllers of switched systems are limited by actuator saturation.In this paper,asynchronous switched control of three classes of switched continuous time delayed systems are developed.The research results are as follows:First.A class of asynchronous switched control of continuous time switched time-delay systems with nonlinear perturbation is developed.Using the average dwell time method and multiple Lyapunov functions,we design a state feedback controller,make sure closed-loop system is asymptotically stable.Further,the design,condition of state feedback control law is given in term of linear matrix inequality.Second.The stabilization of asynchronous switched time-delay systems subject to actuator saturation is researched.When the systems is zero disturbance input,the actuator saturation is written in the convex hull form,using the average dwell time method and multiple Lyapunov functions,we design a state feedback controller to make the close-loop systems exponentially stability.When the presence of nonlinear disturbances in the system,designing H∞ controller make exponential stability of the close-loop systems,and H∞ performance index is satisfied.Third.The stabilization of asynchronous switched network control systems with actuator saturation.Networks with limited bandwidth cause the asynchronous motions between switched subsystems and the candidate controllers in both the state mea-surement and the switching signal,and network-induced delays is considered.Using the average dwell time method and multiple Lyapunov functions,we design a state feedback controller to make the close-loop systems exponentially stability.The examples are presented to illustrate the efficiency and feasibility of the above proposed method and consequently give the conclusions. |
