Robust stabilization for uncertain systems with input delay based on an improved reduction method

The robust stabilization of uncertain systems with constant input delay is discussed. The existent reduction methods are useful to solve the problems caused by input delay but too complex and difficult to implement. In order to solve the problem, an improved reduction method is proposed and the associated robust stabilization condition based on LMI approach is also obtained. Two numerical examples and the simulation results are presented to demonstrate the effectiveness and superiority of the proposed method.