Kybernetika 39 no. 4, 415-432, 2003

On the regulator problem for a class of LTI systems with delays

Bernardino Castillo-Toledo and Eduardo Núñez-Pérez


This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.