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针对同时具有马尔可夫(Markov)链跳变特性时滞和随机丢包现象的网络控制系统,建立了网络控制系统的离散模型,利用李亚普诺夫稳定性理论、线性矩阵不等式和自由权矩阵方法,分析了系统的均方稳定性和均方可镇定性,并基于线性不等式给出了系统均方稳定、镇定判据.该方法能判定具有马尔可夫时滞和丢包的网络控制系统的均方稳定性,并设计出同等条件下的均方可镇定时滞依赖控制器.与现有方法相比,能更准确地描述网络时滞特性,有效减小系统保守性,结果更具一般性.最后通过仿真实例证明了方法的有效性.
Aiming at the networked control system with time-delay and random packet loss with Markov chain jumps, a discrete model of networked control system is established. By using Lyapunov stability theory, linear matrix inequality and free-form matrix method , The mean square stability and mean square stability of the system are analyzed, and the mean square stability and the stabilization criterion of the system are given based on the linear inequalities.The method can be used to determine the network control system with Markov delay and packet loss Mean square stability and mean-square stabile delay-dependent controller under the same conditions are also designed.Compared with the existing methods, the network delay characteristics can be described more accurately and the system conservatism can be reduced effectively. The result is more general Finally, the simulation example proves the effectiveness of the method.