Model reduction for nonlinear systems based on the differential eigenstructure of Hankel operators

Author

Fujimoto, Kenji ; Scherpen, Jacquelien M A

Author_Institution

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

Volume

4

fYear

2001

fDate

2001

Firstpage

3252

Abstract

This paper offers a new input-normal output-diagonal realization and model reduction procedure for nonlinear systems based on the differential eigenstructure of Hankel operators. First, we refer to the preliminary results on input-normal realizations with original singular value functions and the differential eigenstructure of Hankel operators with axis singular value functions. Next, the relationship between the two different characterizations of singular value functions is clarified and, consequently, the new input-normal realization is characterized. Finally, we perform the model reduction based on the obtained realization. Numerical examples demonstrate the effectiveness of the proposed method

Keywords

Hankel matrices; controllability; nonlinear systems; observability; reduced order systems; singular value decomposition; state-space methods; Hankel operators; controllability; differential eigenstructure; model reduction; nonlinear systems; observability; singular value functions; state space system; Controllability; Ear; Informatics; Information technology; Linear systems; Nonlinear systems; Observability; Reduced order systems; Space technology; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980322

Filename

980322