DocumentCode :
819667
Title :
Minimal order observers for estimating linear functions of a state vector
Author :
Moore, James ; Ledwich, Gerard
Author_Institution :
University of Newcastle, New South Wales, Australia
Volume :
20
Issue :
5
fYear :
1975
fDate :
10/1/1975 12:00:00 AM
Firstpage :
623
Lastpage :
632
Abstract :
This paper studies the necessary and sufficient conditions for a pth-order observer to observe linear functions of the states of a linear dynamical system. The conditions are a set of multivariable polynomial equations which must be satisfied for some variable set in order for a pth-ncder observer to exist. It is possible to test for the existence of such a variable set in a finite number of steps via decision methods and thereby to construct an observer with the aid of polynomial factorization. To minimize the computational effort, the necessary and sufficient conditions are expressed in terms of the minimum number of variables.
Keywords :
Decision procedures; Linear systems, time-invariant continuous-time; Observers; Control theory; Electrical engineering; Inertial navigation; Kalman filters; Linear systems; Observers; Polynomials; State estimation; Sufficient conditions; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1101054
Filename :
1101054
Link To Document :
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