Robust Controller Design of Uncertain Systems with Interval Time-varying Input Delay

This paper is concerned with the robust stabilization and controller design for uncertain systems with interval time-varying input delay. The uncertainties of the system is unknown time-varying but norm-bounded, the input delay varies in an interval. A robust stabilizing condition and the controller design method can be constructed easily by solving a LMI. The auxiliary variables and generalized states method are used in order to prove the asymptotic stability of the system. In the controller design procedure there are not any requirements for the derivative of the input delay. Examples show the effectiveness and superiority of the proposed method