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Identification of nonlinear systems using hybrid functions

Dosthosseini, R., Sheikholeslam, F. and Kouzani, A. Z. 2010, Identification of nonlinear systems using hybrid functions, in ICCA 2010 : Proceedings of the 8th IEEE International Conference on Control and Automation, IEEE, [Piscataway, N.J.], pp. 1994-1998.

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Title Identification of nonlinear systems using hybrid functions
Author(s) Dosthosseini, R.
Sheikholeslam, F.
Kouzani, A. Z.
Conference name IEEE International Conference on Control and Automation (8th : 2010 : Xiamen, China)
Conference location Xiamen, China
Conference dates 9-11 June 2010
Title of proceedings ICCA 2010 : Proceedings of the 8th IEEE International Conference on Control and Automation
Editor(s) Chen, Ben M.
Li, Maoquing
Wang, Jianliang
Luo, Jian
Publication date 2010
Conference series International Conference on Control and Automation
Start page 1994
End page 1998
Total pages 5
Publisher IEEE
Place of publication [Piscataway, N.J.]
Keyword(s) hybrid functions
nonlinear systems
identification
Summary 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.
ISBN 9781424451951
ISSN 1948-3449
Language eng
Field of Research 090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category E1 Full written paper - refereed
HERDC collection year 2010
Copyright notice ©2010, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30029967

Document type: Conference Paper
Collections: School of Engineering
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Created: Fri, 10 Sep 2010, 13:17:39 EST by Abbas Kouzani

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.