TY - JOUR
T1 - The Aymptotic Behavior of the Root-Loci of Multivariable Optimal Regulators
AU - Shaked, U.
PY - 1978/7
Y1 - 1978/7
N2 - The loci of the closed-loop poles of the multivariable, time-invariant, linear optimal regulator are shown to group into the left half-plane part of several Buttenvorth configurations as the weight on the input in the criterion approaches zero. It is proved that these configurations are of even order and that they are always centered at the origin. The number of configurations of any even order, their radii, and the angle of their corresponding asymptotes are expressed in terms of the criterion and the system constant matrices.
AB - The loci of the closed-loop poles of the multivariable, time-invariant, linear optimal regulator are shown to group into the left half-plane part of several Buttenvorth configurations as the weight on the input in the criterion approaches zero. It is proved that these configurations are of even order and that they are always centered at the origin. The number of configurations of any even order, their radii, and the angle of their corresponding asymptotes are expressed in terms of the criterion and the system constant matrices.
UR - http://www.scopus.com/inward/record.url?scp=0017981440&partnerID=8YFLogxK
U2 - 10.1109/TAC.1978.1101737
DO - 10.1109/TAC.1978.1101737
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AN - SCOPUS:0017981440
SN - 0018-9286
VL - 23
SP - 425
EP - 430
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 3
ER -