Stability Analysis And Control Design Of Switching System Based On Event-triggered Mechanism

As an important class of hybrid systems,switched systems have attracted wide attention of researchers because of their applications in various fields.At present,most of the existing research results on switched systems are about linear switched systems.On the other hand,compared with the traditional time-triggered mechanism adopted in most studies,event-triggered mechanism can not only ensure effective control of the system,but also save communication resources and avoid network congestion.In this paper,event-triggered mechanism is introduced into controller design.Stability analysis and control design for several classes for switched systems with time-varying delays are studied.Firstly,the problem of observer-based event-triggered H_? control for nonlinear uncertain switched systems with interval time-varying delays is studied in this paper.An event-triggered mechanism is proposed and an observer-based event-triggered controller is constructed.By using Lyapunov-krasovskii functional and average dwell time technique,sufficient conditions for observer-based event-triggered H_? finite-time stabilization of switched systems are obtained.The design methods of observer gain and controller gain are given by matrix inequality.Finally,a simulation example is given to illustrate the effectiveness and superiority of the proposed method.Secondly,this paper studies the H_? exponential stabilization of a class of uncertain switched systems with time-varying delays.By designing an observer-based event-triggered H_? controller,the closed-loop system is exponentially stable.Considering the asynchronous switching between the subsystems and their matched subsystems,some sufficient conditions are given to ensure that the switched system is exponentially stabilized under the proposed control scheme,and has H_? performance?.The calculation methods of observer gain and controller gain are given.At the same time,a positive lower bound of adjacent sampling interval is given,which theoretically excluded Zeno phenomenon.a numerical example is given to illustrate the effectiveness of the obtained results.Finally,the problem of H_? finite-time stabilization for uncertain switched neural networks with time-varying delays is studied.An event-triggered sampling mechanism is proposed and a feedback controller based on the event-triggered mechanism is constructed.By constructing a new Lyapunov-Krasovskii functional,using the average dwell time technique and the free-weight matrix method,the criterion of finite-time stabilization for switched neural networks under state feedback control based on event-triggered is established.Based on matrix inequality,the design method of controller gain is given.A numerical example is given to verify the effectiveness of the results.