Recursive simplification of pole-assignment problem in multi-input systems†

1 August 1972

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 16 (2) , 389-399
https://doi.org/10.1080/00207177208932270

Abstract

It is shown in this paper that the pole-assignment problem for a linear time-invariant system of order (n) having (p) number of inputs can be solved by seeking the solution of the same problem for a similar system of order (n−p−r) [where 1≤r≤p] having (r ₁) [with r₁≤r] number of inputs. This operation can be repeated to simplify the pole-assignment problem in a recursive manner. Another contribution of this paper is that it shows that the asymptotic state-estimator problem for a linear time-invariant system of order (n) having (q) number of outputs can be solved by using the solution to the pole assignment problem of a similar system of order (n−q) having (q₁ ) [with q₁≤q] number of inputs.

Keywords

LINEAR TIME INVARIANT

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