New results on frequency weighted balanced reduction technique

Author

Sreeram, V. ; Anderson, B.D.O. ; Madievski, A.G.

Author_Institution

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

Volume

6

fYear

1995

fDate

21-23 Jun 1995

Firstpage

4004

Abstract

Shows by an example that Enns´ (1984) frequency weighted balanced reduction procedure when applied to a scalar stable transfer function with input and output weights can result in an unstable reduced order model. A variation on the method is then presented which is guaranteed to yield stable reduced order models even when both input and output weightings are included. The method is a generalisation of Lin and Chiu´s (1992) technique and can handle weighting transfer functions which are proper rather than only strictly proper. A frequency response error bound for the proposed technique is also derived which is applicable for proper (including strictly proper) weighting functions

Keywords

frequency response; reduced order systems; state-space methods; transfer functions; frequency response error bound; frequency weighted balanced reduction technique; scalar stable transfer function; strictly proper weighting functions; unstable reduced order model; weighting transfer functions; Adaptive systems; Australia; Frequency response; Poles and zeros; Reduced order systems; Robust stability; Systems engineering and theory; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532684

Filename

532684