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利用线性矩阵不等式方法研究了一类带有时滞的广义系统的H∞ 控制问题 .在一定条件下 ,一个时滞奇异系统可以转化成由一个微分方程和一个代数方程组成的系统 ,基于线性矩阵不等式方法给出了使这类系统H∞干扰抑制性能指标满足要求的无记忆状态反馈控制设计 .
The problem of H∞ control for a class of singular systems with time delay is studied by means of the linear matrix inequality. Under certain conditions, a singular system with time delay can be transformed into a system composed of a differential equation and an algebraic equation. Based on the linear matrix inequality The method gives a memoryless state feedback control design that satisfies the requirements of H∞ interference suppression of such systems.