The Limiting Optimal Regulator for Systems with Time-delay

Considering Disturbance Decoupling

Abstract

A limiting optimal regulator problems of disturbance decoupling for systems with input time delay are discussed. The limiting optimal regulator is derived by the weighting matrix with state vectors tend to infinity in a linear quadratic cost function. In the finite dimensional case, the limiting optimal regulator is known as a cheap control, which has a perfect regulation property and disturbance decoupling. Time delay systems are regarded as non-minimum phase systems. In this paper, however, it is shown that the limiting state feedback control achieves disturbance decoupling after the time-delay period.