Research On Sampled-data Control Of Networked Systems With Time-varying Delay

Since the beginning of the 21 st century,the rapid development of information technology,computer technology,network communication technology and other related science and technology has greatly changed people's production and life styles in all aspects.As the control objects in many related engineering practices are becoming more and more complex,the control system is gradually developing towards distribution and intelligence,with the wide application of communication network in actual systems.For network systems,due to the large number of system nodes,the amount of communication data between nodes is huge,which brings greater pressure to the data transmission networks.At the same time,in order to reduce the pressure on the hardware requirements of the controller for the calculation of a large number of measurement feedback signals,sampled-data control,especially the theoretical research related to aperiodic sampled-data control,has attracted widespread attention.This article focuses on the sampled-data control of network systems and studies the conditions of system synchronization.It uses a distributed sampling state feedback strategy to design a corresponding controller,which enables the systems to achieve synchronization.The main contents of this article are as follows:(1)First,the concept of network systems is introduced,with the background and research status of related problems are mentioned.and the research status of sampled-data control with current control theory and methods related to time delay system are introduced emphatically.(2)Then the basic mathematical knowledges are introduced which are needed to analyze the synchronization performance of sampled-data control in network systems,including algebraic graph theory,basic control theory specifically Lyapunov stability theory;and related lemmas,including Schur complement lemma,etc.Then an integral inequality is proposed and proved.(3)The model of a nonlinear network systems is established,and a state feedback controller based on distributed sampling is designed.Next,the allowable upper and lower bounds of the system sampling are given,the sufficient conditions for the system to reach the synchronization are given,and the Lyapunov stability analysis method is used with the integral inequality proposed above to give further Detailed proof.Then the theorem about the corresponding feedback gain matrix is further given.Finally,a numerical example is given to show the system synchronization in the case of non-periodic sampling,periodic sampling and continuous feedback,and also verify the feasibility of the method.(4)Further,the time delay problem in the network systems is considered.By adding the delay item on the basis of the previous research,a network systems model with time-varying delay is established,and the sufficient conditions for the system synchronization under sampled-data control is put forward and proved.Then,the computation theorem of the corresponding controller feedback gain matrix K that can make the networked system achieve synchronization is proposed and proved.Finally,a numerical example is used to simulate and verify the theorem proposed in this chapter.(5)The intelligent vehicle cooperative control platform and communication module,positioning module,etc.are introduced,as well as the theorem proposed in this paper,and applied it to the position state synchronization of the vehicle formation,verifying that the proposed method in this article is feasible in the actual system.