Model reduction of large scaled systems via frequency-domain balanced structures

Author

Zilouchian, Ali ; Agaee, P. Karim ; Nickravesh, K.

Author_Institution

Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA

Volume

6

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3873

Abstract

A model reduction technique for linear time-invariant systems is presented. The proposed technique is based on a conceptual view point regarding the balancing of the controllability and observability grammians of a multivariable system in a given frequency range of operation. The necessary, as well as sufficient conditions for the stability of the reduced model are provided. It is shown that from the real-time system´s applicability view point, the frequency-domain balanced structure is a natural as well as a desired approach to model reduction of large scaled systems. The simulation results have indeed demonstrated the effectiveness of the proposed method in comparison with the existing proposed techniques

Keywords

controllability; large-scale systems; linear systems; multivariable control systems; observability; reduced order systems; controllability grammian; frequency-domain balanced structures; large scaled systems; linear time-invariant systems; model reduction technique; multivariable system; necessary conditions; observability grammian; real-time system; sufficient conditions; Bandwidth; Controllability; Frequency; Mathematical model; Observability; Real time systems; Reduced order systems; Stability; Sufficient conditions; Time invariant systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.609610

Filename

609610