基于时滞系统模型的网络控制系统稳定条件

Stability criterion for networked control systems based on the model of the time-delay system

求解线性矩阵不等式或线性二次型Gauss问题的网络控制系统分析方法,给出的网络诱导时延渐进稳定条件具有很大的保守性,而且计算复杂.笔者将网络控制系统建模为时滞系统,应用新构建的Lyapunov泛函和矩阵范数不等式推导出一个网络控制系统网络诱导时延渐进稳定条件,给出了确定网络控制系统渐进稳定的最大网络诱导时延的简便数值线搜索算法.典型实例的仿真和对比分析的结果表明,该渐进稳定时延区间明显大于已有的方法.

The asymptotic stability time-delay criteria for the networked control systems are much conservative by solving the linear matrix inequality or the linear quadratic Gaussian problem and they are of great computing complexity. In this paper, an asymptotic stability time-delay criterion for the networked control systems is derived from the matrix norm inequality and the newly constructed Lyapunov function by modeling the networked control systems as a time delay system and a laconic line search algorithm to determine the bound of the asymptotic stability time-delay is also presented. The example and the comparison analysis with the corresponding criteria are provided to demonstrate the reduced conservatism of the proposed condition.