Robust Output Regulation Problem for Descriptor Time-Delay Systems

This paper studies the robust output regulation problem of descriptor time-delay systems. The internal model design method is extended to descriptor delay systems. Firstly, we construct a framework that converts the system's robust output regulation problem into a stabilization problem of an augmented time-delay systems, and provide its regulator equation. Secondly, we establish solvability conditions for the problems by both dynamic state feedback control and dynamic output feedback control under this framework. Finally, two numerical examples are given to show the effectiveness of this approach.