不确定多时滞广义系统的非脆弱鲁棒H_∞控制

Non-fragile robust H_∞ control for uncertain generalized systems with multiple time-delays

研究了一类状态含有多时滞的不确定广义系统的非脆弱H∞控制问题.主要利用Lya-punov函数方法和LMI(线性矩阵不等式)方法,对一般情况,获得了使广义闭环系统渐近稳定且满足H∞扰动抑制水平γ的时滞相关充分条件.分别针对控制器加法和乘法不确定性给出其相应的非脆弱鲁棒H∞状态反馈控制器的设计方法.

The non-fragile H∞control problem for a class of singular systems with unmatched uncertainties and multiple time-delays was researched. Lyapunov function method and linear matrix inequality were used to obtain a set of sufficient conditions. The conditions ensure that the generalized closed-loop system is asymptotically stable and satisfy the limitation of H∞ performance. Two design methods were given, which correspond to the additive and multiplicative uncertainties of controller, respectively.