具有饱和执行器的时滞广义系统的鲁棒控制

Robust Control of Time-Delay Singular System with Saturating Actuator

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．

Abstract: 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 timedelay singular system is designed and the sufficient condition is given to guarantee the asymptotical stability of the closedloop 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.