Controller Design For Networked Markov Jump Systems Based On Redundant Channels

In Markov jump systems,the governing stochastic process is a Markov process.Since Markov jump systems can describe different types of systems subject to abrupt changes,it finds many applications in control systems.In addition,more and more control systems introduce the network technology for communication,so called the networked control systems.How-ever,it is unavoidable to occur some network-induced phenomena,note that for the packet loss problem,the redundant channel method can be employed to improve the rate of successful com-munication.Accordingly,it is of great theoretical significance and wide application prospect to consider the controller design problems for networked Markov jump systems based on re-dundant channels.This thesis mainly investigates the issue of controller design for networked Markov jump systems based on redundant channels.The main contents are as follows:The first section introduces the Markov jump systems,the networked systems,the network-induced phenomena,the significance of the redundant channel mechanism respectively.The second section considers the finite-time optimal guaranteed cost control problem for the networked Markov jump systems based on redundant channels.Firstly,the number of com-munication channels is assumed to be M(M?2).A sufficient condition is presented to simultaneously guarantee the finite-time boundedness of the closed-loop system and the guar-anteed cost index.Finally,with the help of convex optimization methods,a sufficient condition is provided to optimize the guaranteed cost index of the closed-loop system.In the third section,the observer-based secure control issue is investigated for the net-worked Markov jump systems based on redundant channels.Several mutually independent ran-dom variables are used to describe the packet loss phenomenon and cyber-attacks respectively.The sufficient condition is obtained to satisfy the security performance index and the quadratic performance function constraints.Finally,the controller design for the system security under attacks is obtained with the help of singular value decomposition(SVD)method.In the fourth section,the observer-based PID control issue is studied for networked Markov jump systems.An observer-based and mode-dependent PID controller model is proposed,and then the closed-loop system is established.The mean-square exponential stability and the H_?performance index are analyzed via Lyapunov method.Finally,the gain matrices of the observer and PID controller is derived through SVD method.For the last,the summary and the future research directions are presented.