Title :
Asymptotic root loci of multivariable linear optimal regulators
Author :
Kwakernaak, Huibert
Author_Institution :
Twente University of Technology, Enschede, The Netherlands
fDate :
6/1/1976 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1976.1101236
