Research On Finite-time Stability Of Switching System Based On Event-triggered

Switching system is a special hybrid system,which is composed of a certain number of continuous(discrete)subsystems and a set of appropriate switching signals.The stability and stability of the switching system is a very important research topic in the control discipline.With the continuous improvement of the network level of modern control systems,network control reduces wiring by wireless means and is convenient to maintain.It also inevitably brings problems such as channel congestion and waste of resources.According to literature analysis,the event-triggered mechanism can reduce resource waste and other problems by setting trigger conditions.However,the current research on event-triggered switched systems is still in its infancy,so it is necessary to further discuss related issues.In addition,in some actual operating systems,the transient performance of the system during a specific period of time is not the ultimate steady state performance.In view of this,finite-time stability focuses on the transient behavior of the system in a specific short time,so the problem of finite-time stability of switched systems is a new field for studying the stability of switched systems.So far,the research conclusions about the finite-time stability of event-triggered switched systems are not many,and they lack a certain theoretical,which needs futher study.So for the finite-time stability problem of a class of switched systems based on event-triggered mechanism(such as the finite-time boundedness problem,finite-time stability problem,finite-time filtering problem,sliding mode control input-output finite-time stability problem),whether from in the theoretical sense,it is still necessary to carry out research on it in terms of application value.The content of this article is briefly described as follows:1.Use event triggering method to design two kinds of controllers,and study the problem of event-triggered finite-time stability for a class of switched system.Discuss the finite-time stability problem in general and the finite-time stability problem with uncertain terms separately.Combined with multiple Lyapunov functionals,sufficient conditions for finite-time stability of closed-loop systems are given.Finally,the gain matrix of the controllers is solved through a set of examples and the validity of the method is verified.2.Resource waste is unavoidable in limited channel transmission.It is particularly important to choose a suitable sampling scheme.Event-triggered method is used to study the finite-time H? filtering problem of a class of switched singular time-delay systems.First design a filter that meets the trigger conditions.Then,using the Lyapunov function and the average dwell time technique,the sufficient conditions of finite-time H? filtering for the system to be finite-time stablity and meet certain performance indicators are given.Finally,simulation is used to illustrate the effectiveness of the method.3.In view of the network-induced time-delay,the time-delay is decomposed by the model transformation method and a class of event-triggered sliding mode control problems with input-output finite-time stability are analyzed by combining with sliding mode control First,the model conversion method is used to decompose the time delay,and then an appropriate sliding mode surface is established through the event-triggered scheme.Then,using Lyapunov stability theory,a sufficient condition for the finite-time stability of the input-output of the system is derived by using linear matrix inequality.Finally,an example is used to prove the practicability of the method.