DocumentCode
986303
Title
A new method for block partial fraction expansion of matrix fraction descriptions
Author
Leyva-Ramos, J.
Author_Institution
Div. of Eng., Brown Univ., Providence, RI, USA
Volume
36
Issue
12
fYear
1991
fDate
12/1/1991 12:00:00 AM
Firstpage
1482
Lastpage
1485
Abstract
The block-observability form is used to develop a method for finding the block partial fraction expansion of an irreducible right or left matrix fraction description with distinct and/or repeated solvents of the denominator matrix polynomials. The new formulas ar very simple and only require that the block Vandermonde matrix be formed from the right or left solvents. All the matrix residues of the expansion are found simultaneously by a simple matrix manipulation and the formulas are suitable for digital computer application
Keywords
matrix algebra; observability; polynomials; block Vandermonde matrix; block partial fraction expansion; block-observability form; denominator matrix polynomials; matrix fraction descriptions; matrix manipulation; matrix residues; Computer applications; Control system synthesis; Large-scale systems; MIMO; Matrix decomposition; Observability; Polynomials; Solvents; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.106166
Filename
106166
Link To Document