DocumentCode
852590
Title
On the order reduction of linear function observers
Author
Tsui, Chia-Chi
Author_Institution
Northeastern University, Boston, MA, USA
Volume
31
Issue
5
fYear
1986
fDate
5/1/1986 12:00:00 AM
Firstpage
447
Lastpage
449
Abstract
This note analyzes a new algorithm presented in [1] for designing a linear function observer with a minimum number of arbitrary poles. It shows that the maximum order of the observer of [1] is 
for 
and 
for 
, instead of 
as suggested in [1], where 
to 
, are the descending ordered observability indexes of system ( 
) and 
, and 
are the order of the system, the number of the functions, and the number of the system outputs, respectively. This note also shows the significance of this result. For presentational purposes, only a special case of [1] is considered here. However, the technical properties as proved in this note are general.
for and for , instead of as suggested in [1], where to , are the descending ordered observability indexes of system ( ) and , and are the order of the system, the number of the functions, and the number of the system outputs, respectively. This note also shows the significance of this result. For presentational purposes, only a special case of [1] is considered here. However, the technical properties as proved in this note are general.Keywords
Observers, linear systems; Reduced-order systems, linear; Algorithm design and analysis; Eigenvalues and eigenfunctions; Equations; Kalman filters; Observability; Observers; State estimation; State feedback; Sufficient conditions; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1986.1104298
Filename
1104298
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