Positive and bounded real balancing for nonlinear systems - a controllability and observability function approach

Author

Ionescu, Tudor C. ; Fujimoto, Kenji ; Scherpen, Jacquelien M A

Author_Institution

Fac. Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

4310

Lastpage

4315

Abstract

In this paper we present a version of the balancing technique for nonlinear positive/bounded real systems. We discuss an approach to study related nonlinear systems that allow us to apply the theory of balancing based upon the Hankel operator and the corresponding singular value analysis. We provide balanced realizations of these systems. If we truncate them accordingly, the reduced order models will preserve their original structure, i.e., they are positive/bounded real.

Keywords

Hankel matrices; controllability; nonlinear systems; observability; singular value decomposition; Hankel operator; balancing technique; controllability; nonlinear bounded real systems; nonlinear positive real systems; observability; order models; singular value analysis; Controllability; Electrical equipment industry; Energy measurement; Linear systems; Nonlinear systems; Observability; Reduced order systems; State-space methods; Technology management; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400113

Filename

5400113