GENERAL PROBLEM OF POLE ASSIGNMENT

Given a linear, time-invariant, minimal and strictly proper system 119982; set of monic polynomials φi(s), i = l, 2, ⃛, q, such that φi(s) divides φi−1(s), i = 2, 3, ⃛, q a method for finding a proper feedback system which makes the invariant polynomials of the closed-loop system equal to the φi(s) is established and a sufficient condition which ensures the existence of is determined. This method can also be used to assign the poles of the compensated system provided that certain poles are multiple. The order of the required compensator is generally loss than that of the Luenberger or the Wolovich compe nsation schemes. © 1979 Taylor & Francis Ltd.