中文摘要：

利用李亚普诺夫方法研究了时滞广义系统、不确定广义系统和不确定时滞广义系统的鲁棒镇定问题．首先设计了时滞广义系统的具有饱和执行器的控制律，并给出其闭环系统渐近稳定的充分条件．对不确定项是范数有界的不确定广义系统，给出其控制器的设计方法和闭环系统渐近稳定的充分条件．在此基础上，进一步给出了不确定时滞广义线性系统的镇定条件．最后，给出了一个数值算例来说明方法的有效性．

英文摘要：

The Lyapunov method is employed to study the robust stabilization problems of time-delay singular system, uncertain singular system and uncertain time-delay singular system. The control law with saturating actuator for the time- delay singular system is designed and the sufficient condition is given to guarantee the asymptotical stability of the closed- loop system. Then the design method of the controller and the sufficient condition that ensures asymptotic stability of the closed-loop system are presented for the uncertain singular system with norm bounded uncertainties. On these bases, the stabilization condition of the uncertain linear time-delay singular system is given. Finally, the effectiveness of the proposed method is illustrated by a numerical example.