DocumentCode
343067
Title
Properties of the generalised companion form and application to the solution of regular PMDs
Author
Pugh, A.C. ; Tan, Liansheng
Author_Institution
Dept. of Math. Sci., Loughborough Univ. of Technol., UK
Volume
2
fYear
1999
fDate
2-4 Jun 1999
Firstpage
1324
Abstract
We investigate the relationship between the finite and infinite frequency structure of a regular polynomial matrix and that of a particular linearization, called the generalised companion matrix. A special resolvent decomposition of the regular polynomial matrix is proposed which is based on the Weierstrass canonical form of this generalised companion matrix and the solution of the regular polynomial matrix descriptions (PMDs) is thus formulated from this resolvent decomposition. Both the initial conditions of the pseudo state and the input are considered
Keywords
Riccati equations; polynomial matrices; state-space methods; Riccati equations; Weierstrass canonical form; decomposition; generalised companion matrix; polynomial matrix; polynomial matrix descriptions; state space systems; Adaptive control; Frequency; H infinity control; Marine vehicles; Matrix decomposition; Performance analysis; Polynomials; Regulators; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1999. Proceedings of the 1999
Conference_Location
San Diego, CA
ISSN
0743-1619
Print_ISBN
0-7803-4990-3
Type
conf
DOI
10.1109/ACC.1999.783582
Filename
783582
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