Research On The Exponential Stability Of The Networked Linear Switching System Under The Event Trigger Mechanism

With the wide application of switching control in network control systems,computer tech-nologies and communications,the study of the networked linear switched systems have become a very popular research subject in the control field.Whereas,the traditional time-triggered scheme,sampling in a fixed period,will increase the network load and communication costs of the sys-tem.In order to overcome the weakness of the time-triggered method,the event-triggered scheme is proposed.In comparison with the time-triggered mode,the event-triggered scheme can great-ly reduce the consumption of communication resources and improve the control performance of the system.Therefore,the exponential stabilization of networked linear switched systems via an event-triggered scheme is studied in this paper.The first chapter mainly introduces the research situation of the networked switched systems,the event-triggered control,and the research methods of the exponential stability.The second chapter reviews the definitions and lemmas used in this paper,and introduces the related concepts involved in the article.The main contents of chapters 3 and 4 are as follows:?1?The exponential stabilization of networked linear switched systems via event-triggered schemeSome sufficient conditions are established such that the event-triggered networked linear switched systems is exponentially stable based on the multiple Lyapunov function method and the average dwell time technique.A memory event-triggered controller is designed,which guarantees the cor-responding closed-loop system is exponentially stable.Finally,a numerical example and a practi-cal example are used to prove the validity of the proposed conclusions in theory and in practice.?2?The event-triggered L₁ filtering of networked linear switched systemsAn event-triggered communication scheme is designed to determine whether the information of system output is transmitted to the filter or not.Under the event-triggered communication scheme,the filtering error system is refactored into a switched time-delay system with bounded disturbance via the input delay system approach.By applying the mode-dependent Lyapunov function approach and the average dwell time technique,some interesting results are derived to ensure that the filtering error system is exponentially stable with L₁performance.Then,a mode-dependent filter is designed by solving a set of linear matrix inequalities?LM Is?.Finally,a numerical simulation and a boost converter circuit show that the proposed method is effective.The fifth chapter is a brief introduction to the future work and future research directions.