中文摘要：

针对同时含有变时滞和参数不确定性的奇异系统,研究了基于静态输出反馈的鲁棒H∞控制问题。采用Lya-punov泛函方法,给出了奇异系统时滞依赖渐近稳定且具有H∞范数界γ充分条件;利用含等式约束的线性矩阵不等式(LMI)方法,给出了此类系统存在输出反馈的时滞依赖充分条件,该条件等价于严格线性矩阵不等式可解性问题,利用严格LMI的可行解,得到控制器矩阵的参数化表示。与已有结果相比,此鲁棒控制器的渐近稳定性条件宽松,克服了时滞奇异系统稳定性问题条件中的等式约束。数值算例说明了该方法的有效性。

英文摘要：

The robust H∞ problem based on the static output feedback control for uncertain singular system with time-varying delay is focused on.By Lyapunov functional method,a delay-dependent robust stability and sufficient condition of H∞ norm bound for such system are presented.By LMI technique with equation constraints,the sufficient condition of the existence of output feedback controller is provided in terms of a strict LMI feasibility.Compared with the old conditions,the delay-dependent stable condition of the ...