中文摘要：

针对状态矩阵带有不确定性的一般奇异周期系统的鲁棒H∞控制问题，采用广义Lya—punov不等式和线性矩阵不等式（LMI）分析方法，提出了参数不确定的一般奇异周期系统鲁棒H∞稳定和鲁棒H∞可镇定概念，获得了该类系统鲁棒H∞稳定的充要条件．通过对系统引入一个状态反馈，得到了该类系统鲁棒H∞可镇定条件，并给出了一个鲁棒H∞控制器的设计方法，所得结论是奇异系统鲁棒H∞控制研究成果向一般奇异周期系统的自然推广．最后，通过数值算例验证了设计方法的有效性．

英文摘要：

According to the problems of robust H∞ Control for linear time-varying general periodic singular systems with parameter uncertainty, by using the analysis method of a descriptor Lyapunov inequality and a linear matrix inequality（LMI） ,the concept of robust H∞ stability and robust H∞ stabilization for linear time- varying general periodic singular systems with parameter uncertainty was put forward, and a necessary and suf- ficient condition of robust H∞ stability is obtained for the systems. Through the systems into a state feedback, the condition of robust H∞ stabilization is obtained, and then the design method of a robust H∞ controller is developed. The conclusions of robust H ∞ Control research achievements are a natural extendibility from sin- gular systems to the linear time-varying general periodically singular systems. Finally, a numerical example is presented to illustrate the effectiveness of the approach.