Design of reduced-order observers of nonlinear systems through change of coordinates

Author

Xiao, MingQing ; Krener, Arthur J.

Author_Institution

Dept. of Math., Southern Illinois Univ., Carbondale, IL, USA

Volume

1

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

689

Abstract

We extend our recent results (2001, 2002) to the design of reduced-order observers for nonlinear systems. The approach method is to use the change of coordinates, which is based on the solution of a system of first-order nonlinear PDEs. The sufficient condition for the solution of the PDEs is provided under very general conditions. The approach is also applicable when the system is only detectable. The method proposed in this paper is constructive and can be applied approximately to any sufficiently smooth, linearly observable system yielding a local observer with approximately linear error dynamics.

Keywords

Lyapunov methods; asymptotic stability; dynamics; eigenvalues and eigenfunctions; nonlinear dynamical systems; observers; reduced order systems; Lyapunov method; eigenvalues; exponential stability; linearly observable system; nonlinear dynamical system; observers; partial differential equations; reduced-order systems; sufficient condition; Estimation error; Linear approximation; Linear systems; Mathematics; Nonlinear dynamical systems; Nonlinear systems; Observers; Resonance; State estimation; Sufficient conditions;

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.2002.1184584

Filename

1184584