Robust H__∞ Controller Design for a Class of Time delay Systems with Nonlinear Uncertainty

A robust state feedback controller design is considered for a class of linear time varying delay system with nonlinear uncertainty based on Lyapunov stability theory.On condition that the nonlinear uncertain functions are gain bounded,a sufficient condition,which is dependent on the maximum value of the time derivative of time varying delay,is presented for the existence of the controller.By solving a linear matrix inequality,the robust controller is obtained.Two illustrative examples are given to show the effectiveness of the proposed method.