An algorithm for the partial multi-input pole assignment problem of a second-order control system

Author

Datta, Biswa N. ; Elhay, Sylvan ; Ram, Yitshak M.

Author_Institution

Dept. of Math. Sci., Northern Illinois Univ., DeKalb, IL, USA

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2025

Abstract

We present an algorithm for the multi-input pole assignment problem of a control system modeled by a system of second-order differential equations. The algorithm does not require explicit knowledge of the eigenvalues and eigenvectors of the associated open-loop quadratic pencil. This is in sharp contrast with the traditional approach. It is composed of numerically effective tools of matrix computations such as the Cholesky-factorization, singular value decomposition, and solutions of linear systems

Keywords

differential equations; multivariable control systems; pole assignment; singular value decomposition; state feedback; Cholesky-factorization; linear systems; matrix computations; open-loop quadratic pencil; partial multi-input pole assignment problem; second-order control system; second-order differential equations; singular value decomposition; Australia Council; Capacitance-voltage characteristics; Closed loop systems; Contracts; Control system synthesis; Control systems; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572882

Filename

572882