DocumentCode :
843677
Title :
New techniques for the design of observers
Author :
Celentano, G. ; Balestrino, A.
Author_Institution :
Istituto Elettrotecnico, Naples, Italy
Volume :
29
Issue :
11
fYear :
1984
fDate :
11/1/1984 12:00:00 AM
Firstpage :
1021
Lastpage :
1025
Abstract :
In this note we prove that if in observer equation 
we choose matrix 
in companion form, it is possible to give a very simple, explicit solution to unknown matrix 
. It is furthermore shown that for almost all the matrices 
, such that the pair ( 
) is reachable, matrix 
is of full rank. All this allows us to establish efficient algorthims for designing reduced observers both for the estimate of state and for that of a given linear functional, even if the spectra of and 
are not disjointed.
we choose matrix in companion form, it is possible to give a very simple, explicit solution to unknown matrix . It is furthermore shown that for almost all the matrices , such that the pair ( ) is reachable, matrix is of full rank. All this allows us to establish efficient algorthims for designing reduced observers both for the estimate of state and for that of a given linear functional, even if the spectra of and are not disjointed.Keywords :
Observers, linear systems; Reduced-order systems, linear; Controllability; Least squares methods; Linear systems; Notice of Violation; Reduced order systems; State-space methods; Steady-state; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103417
Filename :
1103417
Link To Document :
