Robust Control of Time-Delay Singular System with Saturating Actuator

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.