DocumentCode
933757
Title
Bicoprime factorizations of the plant and their relation to right and left-coprime factorizations
Author
Desoer, C.A. ; Gundes, A.N.
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Volume
33
Issue
7
fYear
1988
fDate
7/1/1988 12:00:00 AM
Firstpage
672
Lastpage
676
Abstract
In a general algebraic framework, starting with a bicoprime factorization P =N prD -1 N pl, a right-coprime factorization N p D p-1, a left-coprime factorization D -1pN p, and the generalized Bezout identities associated with the pairs (N p, D p) and (D ˜ p, N ˜p) are obtained. The set of all H -stabilizing compensators for P in the unity-feedback configuration S (P , C ) are expressed in terms of (N pr, D , N pt) and the elements of the Bezout identity. The state-space representation P =C (sI -A )-1B is included as an example
Keywords
compensation; control system analysis; feedback; stability; state-space methods; Bezout identity; algebraic framework; bicoprime factorization; stabilising compensator; state-space; Automatic control; Indium phosphide; Kalman filters; Linear algebra; Linear systems; MIMO; Performance analysis; Polynomials; Solid modeling; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.1276
Filename
1276
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