Mean Square Exponential Stabilization of Markov Networked Control Systems Based on Switching Frequentness
基于切换频度的马尔科夫网络控制系统均方指数镇定

This paper considers the mean square exponential stabilization for networked control systems (NCSs) based on a class of Markov models. Firstly, networked control systems are modeled as a discrete-time switched system of which the switching sequence is governed by a Markov chain with known transition probability matrix, and then a method is proposed to calculate switching frequentness. By combining the stochastic process theory as well as the switched systems stability theory, a mean square exponential stabilization method is presented. The state feedback control law can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed result.