Nonlinear balanced realization based on singular value analysis of Hankel operators

Author

Fujimoto, Kenji ; Scherpen, Jacquelien M A

Author_Institution

Dept. of Syst. Sci., Kyoto Univ., Japan

Volume

6

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

6072

Abstract

In this paper a new balanced realization method for nonlinear systems is proposed which is based on singular value analysis of Hankel operators. The proposed method balances the relationship between the input-to-state behavior and the state-to-output behavior of nonlinear dynamical systems, whereas the existing results only balance the relationship among the coordinate axes of the state-space. This result is expected to be a basis for new model reduction and system identification of nonlinear systems.

Keywords

identification; nonlinear control systems; nonlinear dynamical systems; realisation theory; singular value decomposition; state-space methods; Hankel operators; input-to-state behavior; nonlinear balanced realization; nonlinear dynamical systems; singular value analysis; state-space coordinate axes; state-to-output behavior; systems identification; Controllability; Informatics; Information technology; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Observability; Reduced order systems; Space technology; System identification;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272220

Filename

1272220