具有双边随机时延和丢包的网络控制系统稳定性分析

针对具有双边随机网络时延和丢包的网络控制系统,首先基于Markov的随机过程描述系统丢包的特性;然后利用系统增广矩阵的方法建立参数不确定的离散时间跳变系统模型,在考虑Markov链转移概率矩阵中部分元素未知甚至完全未知的条件下,采用Lyapunov稳定理论和随机理论的分析方法,设计依赖于丢包特性且满足系统均方稳定要求的时变控制器;最后通过数值算例仿真表明所提出方法的有效性.

Stability analysis for networked control systems with bilateral random delay and packet dropout

This paper investigates the stochastic mean square stability for the networked control systems with bilateral random network and packet dropout. Firstly, the stochastic characteristic of packet dropout is described as the Markov process,and the Markov jump systems with uncertain parameters are modeled by using the method of system augmented matrix. Then under the condition of taking into account the incomplete Markovian transition probability matrix, the necessary and sufficient criterias of stabilization are obtained based on the theory of Lyapunov stability and stochastic process. Simultaneously, the time varying controller is designed to guarantee the stochastic mean square stability of such systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.