Spectral factorization of singular systems using generalized algebraic Riccati equations

Author

Wangham, Paulo ; Mita, Tsutomu

Author_Institution

Dept. of Control & Syst. Eng., Tokyo Inst. of Technol., Japan

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4824

Abstract

The spectral factorization of singular systems consisting of tall and rational proper systems with invariant zeros on the jω-axis (including infinity) is derived. This is achieved by solving a generalized algebraic Riccati equation (GARE), which is solved by a generalized eigenvector problem. In this work, zero compensators proposed by Goh et al. are not used, and the results are applied to the inner-outer factorization problem in order to provide simple state space realizations for the inner and outer functions

Keywords

Riccati equations; compensation; eigenvalues and eigenfunctions; matrix decomposition; GARE; generalized algebraic Riccati equation; generalized algebraic Riccati equations; generalized eigenvector problem; inner-outer factorization problem; invariant zeros; rational proper systems; singular systems; spectral factorization; state space realizations; tall proper systems; zero compensators; Control systems; Eigenvalues and eigenfunctions; H infinity control; Linear matrix inequalities; Riccati equations; State-space methods; Transfer functions;

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.1997.649786

Filename

649786