The asymptotic behavior of the root-loci of multivariable optimal regulators
- 1 June 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 23 (3), 425-430
- https://doi.org/10.1109/tac.1978.1101737
Abstract
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 Butterworth 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.Keywords
This publication has 3 references indexed in Scilit:
- Asymptotic root loci of multivariable linear optimal regulatorsIEEE Transactions on Automatic Control, 1976
- Asymptotic behaviour of root-loci of linear multivariable systemsInternational Journal of Control, 1976
- Return-difference and return-ratio matrices and their use in analysis and design of multivariable feedback control systemsProceedings of the Institution of Electrical Engineers, 1970