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Identification of nonlinear systems using hybrid functions

conference contribution
posted on 2010-01-01, 00:00 authored by R Dosthosseini, F Sheikholeslam, Abbas KouzaniAbbas Kouzani
Most real systems have nonlinear behavior and thus model linearization may not produce an accurate representation of them. This paper presents a method based on hybrid functions to identify the parameters of nonlinear real systems. A hybrid function is a combination of two groups of orthogonal functions: piecewise orthogonal functions (e.g. Block-Pulse) and continuous orthogonal functions (e.g. Legendre polynomials). These functions are completed with an operational matrix of integration and a product matrix. Therefore, it is possible to convert nonlinear differential and integration equations into algebraic equations. After mathematical manipulation, the unknown linear and nonlinear parameters are identified. As an example, a mechanical system with single degree of freedom is simulated using the proposed method and the results are compared against those of an existing approach.

History

Event

IEEE International Conference on Control and Automation (8th : 2010 : Xiamen, China)

Pagination

1994 - 1998

Publisher

IEEE

Location

Xiamen, China

Place of publication

[Piscataway, N.J.]

Start date

2010-06-09

End date

2010-06-11

ISSN

1948-3449

ISBN-13

9781424451951

Language

eng

Publication classification

E1 Full written paper - refereed

Copyright notice

2010, IEEE

Editor/Contributor(s)

B Chen, M Li, J Wang, J Luo

Title of proceedings

ICCA 2010 : Proceedings of the 8th IEEE International Conference on Control and Automation

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