DocumentCode
821451
Title
Asymptotic root loci of multivariable linear optimal regulators
Author
Kwakernaak, Huibert
Author_Institution
Twente University of Technology, Enschede, The Netherlands
Volume
21
Issue
3
fYear
1976
fDate
6/1/1976 12:00:00 AM
Firstpage
378
Lastpage
382
Abstract
The asymptotic loci of the closed-loop poles of the multivariable time-invariant linear regulator are considered as the weight on the input in the criterion approaches zero. It is proved that those poles that go to infinity group into several Butterworth configurations of different orders and with different radii. It is furthermore shown that the first-order patterns are easily explicitly determined. Some examples illustrate the results.
Keywords
Linear systems, time-invariant continuous-time; Optimal regulators; Poles and zeros; Additive noise; Density functional theory; Error analysis; Estimation error; Maximum a posteriori estimation; Noise measurement; Nonlinear systems; Parameter estimation; Pattern recognition; Regulators;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1976.1101236
Filename
1101236
Link To Document