中文摘要：

讨论了一类不确定时滞切换奇异系统的状态反馈鲁棒H∞控制问题,利用公共Lyapunov函数方法和凸组合技术给出了系统状态反馈可镇定的充分条件,并采用线性矩阵不等式的形式进行描述。设计了相应的切换律和状态反馈控制器,保证了闭环系统是具有鲁棒H∞干扰抑制水平γ状态反馈可切换镇定的。最后给出一个数值算例证明结论的有效性。

英文摘要：

The state feedback robust H∞ control problem has been studied for a class of uncertain time-delay switched singular systems.The sufficient conditions of the system state feedback calm are described with linear matrix inequality by the common Lyapunov function and convex combination technology.The corresponding controller and switching rules have been designed to ensure the closed system is state feedback calm with robust H∞ interference suppression γ.A numerical example is given to illustrate the effectiveness of the proposed method.