Computation of coprime factorizations of rational matrices

Author

Varga, A.

Author_Institution

Inst. for Robotics & Syst. Dynamics, German Aerosp. Res. Establ., Oberpfaffenhofen, Germany

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4830

Abstract

We propose a numerically reliable state space algorithm for computing coprime factorizations of rational matrices with factors having poles in a given stability domain. The new algorithm is based on a recursive generalized Schur technique for poles dislocation by means of proportional-derivative state feedback. The proposed algorithm is generally applicable regardless the underlying descriptor state space representation is minimal or not, or is stabilizable/detectable or not

Keywords

matrix decomposition; poles and zeros; stability; state feedback; state-space methods; two-term control; coprime factorizations; descriptor state space representation; numerically reliable state space algorithm; poles dislocation; proportional-derivative state feedback; rational matrices; recursive generalized Schur technique; stability domain; Computational complexity; Linear systems; Orbital robotics; Poles and zeros; Polynomials; Robustness; Software algorithms; Stability; State feedback; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649787

Filename

649787