Stabilizing controller design for time-delay singularly perturbed systems by H∞ norm and Lambert W function

Abstract

"The stabilizing controller design problem of time-delay singularly perturbed systems is considered. The proposed approach is based on the H∞ norm and the composite control method. A sufficient condition for the stability of the time-delay slow subsystem is presented. Using this condition, we can construct the composite control law for the time-delay singularly perturbed system and analysis the system by the matrix Lambert W function. Illustrated examples are presented to demonstrate the validity and applicability of the proposed method.