Stability Analysis Of Nonlinear Networked Control System With Time Delay

The analysis and research of the Networked control system has been one of thehottest research focus in recent years.Networked control system is a control theorydeveloped with the recent development of network technology, control theory andcomputer technology. Owing to the simplification of its structure, it is moreconvenient, flexible,and have higher reliability and ease of maintenance andexpansion compared with conventional control systems.Due to the special nature ofthe network, one important factor that affect the Networked control system istime-delay of the network.In the process of data transmission in the network, packetloss and network scheduling will generate delay in the network control systemcausing the system becomes unstable.It is widely known that Nonlinear systems are widely exist in our lives. Thenonlinear within many systems is generated by the imperfection of the system itself,and this fact is inevitable. And other nonlinear of the systems is due to the uniquemotion characteristics of the the system itself. Further, although some systems arelinear, but in order to improve the control quality of the system, it intends tointroduce nonlinear control sometimes. This shows that the nonlinear system is themore extensive and accurate description of the system. In the actual operation of theapplication process, due to the presence of nonlinear term, such discussions andanalysis of the system are more complex. But it represents the variation of the systemmore accurately.In this paper, by using Lyapunov stability theory, we established a suitableLyapunov function.Then through the LMI tools, the stability of nonlinear time-delay of networkedcontrol systems have been discussed.