DocumentCode :
853077
Title :
Proper stable transfer matrix factorizations and internal system descriptions
Author :
Antsaklis, Panos
Author_Institution :
University of Notre Dame, Notre Dame, IN, USA
Volume :
31
Issue :
7
fYear :
1986
fDate :
7/1/1986 12:00:00 AM
Firstpage :
634
Lastpage :
638
Abstract :
The exact relations between coprime proper stable factorizations of P(s) and coprime polynomial matrix factorizations are derived, and they directly lead to relations with internal descriptions of the plant in differential operator or state-space form. It is shown that obtaining any right or left proper stable coprime factorization is equivalent to state-feedback stabilization or to designing a full-order full-state observer, respectively. Solving the Diophantine equation is shown to be equivalent to designing a full or reduced-order observer of a linear functional of the state and to designing a stable inverse system; and this suggests new computational methods to solve the Diophantine.
Keywords :
Matrix decomposition/factorization; Polynomial matrices; Transfer function matrices; Automatic control; Circuit noise; Controllability; Digital filters; Linear matrix inequalities; Polynomials; Signal processing; Silicon compounds; Speech processing; State-space methods;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104349
Filename :
1104349
Link To Document :
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