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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 KouzaniMost 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 - 1998Publisher
IEEELocation
Xiamen, ChinaPlace of publication
[Piscataway, N.J.]Publisher DOI
Start date
2010-06-09End date
2010-06-11ISSN
1948-3449ISBN-13
9781424451951Language
engPublication classification
E1 Full written paper - refereedCopyright notice
2010, IEEEEditor/Contributor(s)
B Chen, M Li, J Wang, J LuoTitle of proceedings
ICCA 2010 : Proceedings of the 8th IEEE International Conference on Control and AutomationUsage metrics
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