一类结构不确定性的离散时滞大系统的分散镇定

Decentralized stabilization of discrete time-delay large-scale systems with structured uncertainties

研究了一类离散时滞大系统的时滞相关鲁棒分散镇定问题 ,系统的不确定与标称系统具有结构相似性 .通过构造性的差分格式 ,将时滞相关鲁棒分散镇定控制器的存在条件转化为一列线性矩阵不等式的可行解问题 .提出了控制时滞及控制器的时滞鲁棒性概念 ,在获得分散镇定控制器的同时给出了鲁棒时滞上界的求解 ,因此比现有文献的结果更具有实际应用价值 .

The paper focuses on the problem of robust decentralized stabilization for discrete time-delay systems with structured uncertainties. By constructing difference format approach, the existing condition of robust decentralized stabilization controller for discrete time-delay systems can be checked by the solvability of a couple of linear matrix inequalities. The concept of controlling time-delay and the time-delay robustness of derived decentralized controller are firstly proposed and a method of seeking the size of time-delay bound is presented with the solving for decentralized stabilization controller simultaneously. Consequently, our results are more valuable in application than that of the existing results.