DocumentCode :
1239725
Title :
A unified theory of full-order and low-order observers based on singular system theory
Author :
Cobb, J. Daniel
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Volume :
39
Issue :
12
fYear :
1994
fDate :
12/1/1994 12:00:00 AM
Firstpage :
2497
Lastpage :
2502
Abstract :
The standard construction of the minimal-order state observer for a linear time-invariant plant is shown to be a degenerate form of the ordinary full-order observer. The naive state estimation technique of successively differentiating the plant output is also shown to be a limiting case of the same full-order structure. Various results concerning the set of all degenerate forms of the full-order observer are presented. In particular, conditions are established under which shifting observer eigenvalues far to the left in the complex plane implies proximity to a successively differentiating system. In addition, it is shown that such a scheme can never yield satisfactory estimation. Singular perturbation and singular system theory are used throughout the analysis
Keywords :
difference equations; eigenvalues and eigenfunctions; linear systems; observers; system theory; complex plane; eigenvalues; full-order observers; low-order observers; singular perturbation; singular system theory; state estimation; successively differentiating system; unified theory; Automatic control; Control systems; Differential equations; Eigenvalues and eigenfunctions; Filtering theory; Manifolds; Observers; State estimation; Yield estimation;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.362838
Filename :
362838
Link To Document :
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