A note on pole assignment

Author

Sridhar, B.

Author_Institution

University of Connecticut, Storrs, CT, USA

Volume

Issue

fYear

1972

fDate

12/1/1972 12:00:00 AM

Firstpage

822

Lastpage

823

Abstract

This note gives an alternate proof of Davison\´s theorem [2] on pole placement and further shows that, for a controllable, observable system $\\dot{x} = \\hat{A}x + \\hat{B}u, y = \\hat{C}x$ , the number of poles that can be assigned arbitrarily are equal to max ( $m,p$ ), where $m$ Rank $\\hat{B}$ and $p$ = Rank $\\hat{C}$ . In some cases, more than max ( $m,p$ ) poles can be assigned arbitrarily.

Keywords

Controllability; Linear systems, time-invariant continuous-time; Observability; Pole assignment; Automatic control; Control systems; Eigenvalues and eigenfunctions; Linear systems; MIMO; NASA; Output feedback; Polynomials; Riccati equations; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1972.1100146

Filename

1100146

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=810378