Coprime factorization with J all-pass denominator: The noncanonical case

Author

Oara, C. ; Varga, A.

Author_Institution

Fac. of Autom. Control & Comput., Univ. Politeh. Bucharest, Bucharest, Romania

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

741

Lastpage

746

Abstract

Given an arbitrary rational matrix G, we are interested to construct the class of coprime factorizations of G with J-all pass denominators of McMillan degree as small as possible. Recently, we have given necessary and sufficient solvability conditions and a construction of the class of solutions in the canonical case in which the denominator has McMillan degree equal to the number of unstable poles of G. In this paper we extend the theory of co-prime factorizations with minimal degree denominator to the noncanonical case.

Keywords

H^∞ control; computability; linear systems; matrix decomposition; J all-pass denominator; McMillan degree; arbitrary rational matrix; canonical case; coprime factorization; linear systems; minimal degree denominator; necessary and sufficient solvability conditions; optimal H^∞ control problem; unstable poles; Computer aided software engineering; Computers; Ear; Eigenvalues and eigenfunctions; Poles and zeros; Standards; Symmetric matrices; J all-pass; coprime factorizations; descriptor realizations; linear systems; numerical algorithms;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099394