Dynamical feedback compensator for uncertain time-delay systems containing saturating actuator

The problem of the stabilization of an uncertain time-delay system with a saturating actuator is discussed. These uncertainties may be linear, non-linear, and/or time-varying, but only the upper bounds are known. A linear dynamical feedback compensator is used to stabilize this uncertain saturating and time-delay system. The concept of matrix measure and the comparison theory are employed to investigate the robust stability condition which assures asymptotic stability. One example is given to illustrate the application of the proposed design method.