DocumentCode
805187
Title
Redundancy in linear optimum regulator problem
Author
Molinari, B.
Author_Institution
University of New South Wales, Sydney, Australia
Volume
16
Issue
1
fYear
1971
fDate
2/1/1971 12:00:00 AM
Firstpage
83
Lastpage
85
Abstract
The optimum linear regulator problem is the determination of the input to 
that minimizes 
, and the well-known solution is a feedback law 
. It is known that the problem statement is redundant, in that distinct matrices Q1 and Q2 can yield the same feedback law 
. Such matrices are called equivalent, and a simple test for equivalence is available for the single-input case. This note generalizes the test to the multivariable case.
that minimizes , and the well-known solution is a feedback law . It is known that the problem statement is redundant, in that distinct matrices Q . Such matrices are called equivalent, and a simple test for equivalence is available for the single-input case. This note generalizes the test to the multivariable case.Keywords
Linear systems, time-invariant continuous-time; Optimal regulators; Australia; Automatic control; Control systems; Equations; Optimal control; Performance analysis; Regulators; State feedback; Testing; Three-term control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1971.1099637
Filename
1099637
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