DocumentCode
850998
Title
Estimating the plant state from the compensator state
Author
Fowell, Richard A. ; Bender, Douglas J. ; Assal, Amr F.
Author_Institution
Hughes Aircraft Company, Los Angeles, CA, USA
Volume
31
Issue
10
fYear
1986
fDate
10/1/1986 12:00:00 AM
Firstpage
964
Lastpage
967
Abstract
For the system
where
, this note states and proves necessary and sufficient conditions under which a)
is an estimate of a linear function of
(i.e.,
estimates
), or b) a linear function of
is an estimate of
(i.e.,
estimates
). The mapping
has been used previously by the authors to compute the estimator-controller form of a compensator whose state vector
had the same dimension as the plant state vector
.
where
, this note states and proves necessary and sufficient conditions under which a)
is an estimate of a linear function of
(i.e.,
estimates
), or b) a linear function of
is an estimate of
(i.e.,
estimates
). The mapping
has been used previously by the authors to compute the estimator-controller form of a compensator whose state vector
had the same dimension as the plant state vector
.Keywords
Riccati equations; State estimation, linear systems; Control system analysis; MIMO; Optimal control; Poles and zeros; Polynomials; Reduced order systems; 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.1986.1104139
Filename
1104139
Link To Document