Random Switching Network Based Control System Analysis And Control

In recent years, there has been increasing interest on networked control system because of its very important theoretical research value and widely engineering applications. In this paper, we address the modeling and unified model of networked control systems with time-delay, packet dropout and communication constraints, combining the theory of communication sequence, uncertain system, switched system, robust control and Markov jump. The stability and robust control problems are investigated by introducing kinds of performance indices. The main achievements are as follows:Firstly, the mean square exponential stabilization for a class of networked control systems with time-varying delay and packet dropout is proposed. The NCS is modeled as a switched system, where the switching sequence is governed by a Markov chain with known transition probability matrix. By combining the Markov theory as well as the average dwell time theory, a sufficient condition is proposed as linear matrix inequalities, which to guarantee the mean square exponential stability and robust specification of the closed-loop system.Then, the problem of the networked control systems with channel access constraint is proposed. Firstly, the medium-access status of actuators is event driven by a stochastic process, where we consider the uncertain of the stochastic process. By analyzing and using LMIs approach, a stochastic stability and controller design methods are obtained. Based on this, we consider a kind of NCS with varying time-delay, random packet dropout and Markov sensor assignment in which the process of packet dropout is modeled as an independent distributed Bernoulli process and the medium access constraint is described as Markov process.Finally, the problem of observer-based feedback controller for discrete-time networked systems with packet dropout and an adaptive quantization density is investigated. The quantization density is designed to be a function of the network load condition which is modeled by a Markov process with partially unknown transition probabilities. A sufficient condition of stochastic stability for the NCSs and controller parameter solution approach was given based on LMI.