Finite Pole Assignment Problem for Systems with Delay in State and Control

Abstract

This paper is concerned with finite pole assignment problem for systems with delay in state and control. Manitius and Olbrot suggested that the problem for systems with delay in state and control can be reduced to one for systems with delay in only state by conecting an integrator to the control input. This paper shows that the system with delay in state and control is finite pole assignable without extra integrators if and only if the system is spectrally controllable. A systematic design procedure of the control law is also presented.