On reference tracking and disturbance rejection for time delay systems

Abstract

The paper deals with a recently developed algebraic method of control design for retarded linear time delay systems. Tasks of closed loop system stabilization, reference tracking and disturbance rejection are solved on the basis of the solution of the Bézout equation with Youla-Kučera parameterization in the ring of proper and stable RQ-meromorphic functions. The advantage of the method consists in the fact that it provides a finite spectrum assignment of the closed loop. A widely neglected problem is reference tracking of non-stepwise functions as well as rejection of those classes of disturbances. Hence, the aim of this contribution is to outline a possible procedure of solving these two problems. The general results are clarified by some simulation examples.