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
Link To Document :
