不确定离散时滞网络化系统的鲁棒H_∞控制

Robust H_∞ Control for Uncertain Discrete Time-Delay Systems over Communication Networks

研究了不确定离散时滞网络系统的鲁棒H∞控制问题。在假设数据丢失过程是一个独立同分布过程的情况下,运用随机Lyapunov函数方法,得到了网络化系统均方渐近稳定且满足给定H∞性能指标的充分条件,并利用线性矩阵不等式方法给出镇定控制器的设计,仿真表明该方法的有效性。

This paper deals with the problem of robust H∞ control for uncertain discrete time-delay systems over communication networks. Under the assumption of data dropout being an identically independently distributed process, using a stochastic Lyapunov function method, sufficient conditions which ensures both the asymptotic stability in the mean square and a prescribed H∞ performance level are obtained. The design of the stabilization controller is given in terms of linear matrix inequalities. A simulation example shows the effectiveness of the method.