网络控制系统随机稳定性研究

研究了具有随机网络诱导时延及数据包丢失的网络控制系统随机稳定性问题. 本文用一个具有两个状态的马尔可夫链来描述数据通过网络传输时随机数据包丢失过程, 利用马尔可夫跳变线性系统理论, 将网络控制系统建模为一个具有两种运行模式的马尔可夫跳变线性系统, 给出了在状态反馈控制下网络控制系统随机稳定的线性矩阵不等式形式的充分条件, 最后用一个仿真示例验证了该方法的有效性.

Stochastic Stability for Networked Control Systems

The stochastic stability for networked control sys- tems with stochastic network-induced delay and data packet dropout is studied.When data are transmitted over network,the stochastic data packet dropout process is modeled as a Markov chain with two states.Based on the theory of Markovian jump linear systems,the networked control systems are modeled as a discrete time Markovian jump linear system with two operation modes.The sufficient condition of stochastic stability for net- worked control systems stabilized by state feedback control is proposed in terms of linear matrix inequality.At last,a numer- ical example is given to verify the effectiveness of the method presented in this paper.