A Class Of Additive Time-delay Systems Robust Stability Research

The networked control system is a new control system of the field of the control. The theory of the networked control system has been the main theory to achieve to control the networked control system and it has been quickly developed in these years. When we research the networked control system, the analysis of the networked control system is the first thing to consider, and it is the basic of the other researches. So the stability research of networked control systems are attracting a lot of scholars’attentions. And they have gained a lot of achievements. Because the impact of the network environment is not to ignore. So the networked control system can be seen the multiple time-varying delays system. In this paper we switch the networked control system to multiple time-varying delays system. We use the linear matrix inequalities (LMI) technique and Lyapunov stability theory. We investigate the stability problem of the networked systems with delay-dependent. The results have obtained is easily to realize in the MATLAB of LMI tool case. My dissertation is organized as follows:The first chapter introduces the background of the networked control system and its development history. Then we build the model of the networked control system to multiple time-varying delays system. Then we point to the problem of we need research.The second chapter describes the Lyapunov stability theory and the necessary lemmas we needed in the later.The third chapter we build the multiple time-varying delays system and based the linear matrix inequalities(LMI) and Lyapunov stability theory techniques, by constructing a new Lyapunov-Krasovskii function and dealing with its derivative. Then using the integral inequality technique, we obtained the new asymptotic stability criterion for the networked control systems with time-delay and certain parameters.The fourth chapter we build the multiple time-varying delays system and based the linear matrix inequalities (LMI) and Lyapunov stability theory techniques, by constructing a new Lyapunov-Krasovskii function and dealing with its derivative. Then using weighting matrix technique, we obtained the new robust asymptotic stability criterion for the networked control systems with time-delay and uncertain parameters. The fifth chapter, we summarize the entire dissertation and point out the future work to be further investigated, and discuss the future study of the stability of the network control systems.