Performance preserving controller reduction via additive perturbation of the closed-loop transfer function

Author

Wang, G. ; Sreeram, V. ; Liu, W.Q.

Author_Institution

Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia

Volume

46

Issue

5

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

771

Lastpage

775

Abstract

An H_∞ performance preserving controller order reduction method is proposed. Here performance preservation indicates that the H_∞ norm bound of the closed loop transfer function with reduced-order controller is not greater than the H_∞ norm bound of the closed loop transfer function with full order controller. We assume additive perturbations to the closed-loop transfer function and obtain a sufficient condition for performance preservation. Two kinds of useful weightings are derived, and the controller reduction problem is solved via a frequency weighted model reduction problem

Keywords

H^∞ control; closed loop systems; control system synthesis; reduced order systems; transfer functions; H_∞ norm bound; H_∞ performance preserving controller order reduction method; additive perturbation; closed-loop transfer function; frequency weighted model reduction problem; sufficient condition; Australia; Automatic control; Control systems; Controllability; Error correction; Frequency conversion; Reduced order systems; Stability criteria; Sufficient conditions; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.920799

Filename

920799