Performance preserving controller reduction via additive perturbation of 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

1

fYear

1998

fDate

21-26 Jun 1998

Firstpage

623

Abstract

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

Keywords

H^∞ control; closed loop systems; reduced order systems; transfer functions; H_∞ norm; H_∞ performance preserving controller order reduction method; additive perturbation; closed loop transfer function; sufficient condition; Closed loop systems; Control systems; Error correction; Frequency conversion; Observability; Reduced order systems; Stability criteria; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.694745

Filename

694745