Frequency response error bounds for time-weighted balanced truncation

Author

Sreeram, Victor

Author_Institution

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

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

3330

Abstract

Balanced truncation is one of the most popular techniques in model reduction and was first proposed by Moore (1981) for linear continuous systems. The technique is based on finding a balanced realization of the system and truncating the least controllable and observable states to find the reduced order model. The technique was extended to the reduction of discrete systems in Pernebo and Silverman (1982). In Schelfhout and De Moor (1995), a time-weighted balanced truncation method was presented for obtaining the reduced-order models. In this paper, we present the frequency response error bounds for their technique.

Keywords

continuous time systems; controllability; discrete time systems; frequency response; observability; controllability Gramians; discrete-time systems; frequency response error bounds; linear time-invariant continuous-time system; observability Gramians; time-weighted balanced truncation; Australia Council; Continuous time systems; Controllability; Equations; Error correction; Frequency response; Observability; Reduced order systems; Stability; Weight control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184388

Filename

1184388