Optimizing the feedback gains of the robust linear regulator

Author

Huang, Jie

Author_Institution

Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Shatin, China

Volume

3

fYear

2000

fDate

2000

Firstpage

1837

Abstract

Nonuniqueness of the feedback gains is exploited to optimize the design of the robust regulator for linear multivariable systems. A scheme that minimizes the Frobenius norm of the steady state of the compensator while retaining the desirable closed-loop eigenvalues is proposed. This scheme aims at reducing the energy consumed by the compensator, and at the same time improving the transient response of the regulator systems. It is shown that the proposed scheme can be converted into a pure parameter optimization problem well documented in the literature

Keywords

compensation; control system synthesis; eigenvalues and eigenfunctions; linear systems; matrix algebra; multivariable control systems; optimisation; performance index; robust control; state feedback; transient response; Frobenius norm; closed-loop eigenvalues; feedback gains; linear multivariable systems; pure parameter optimization problem; robust linear regulator; transient response; Design automation; Design engineering; Design optimization; Eigenvalues and eigenfunctions; Feedback; Performance analysis; Performance gain; Regulators; Robustness; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.879519

Filename

879519