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, doi: 10.1109/ICCA.2010.5524064. Attached Files Name Description MIMEType Size Downloads kouzani-identificationof-2010.pdf Published version application/pdf 136.26KB 199 Title Identification of nonlinear systems using hybrid functions Author(s) Dosthosseini, R. Sheikholeslam, F. Kouzani, A. Z. orcid.org/0000-0002-6292-1214 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 DOI 10.1109/ICCA.2010.5524064 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 Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30029967 Document type: Conference Paper Collections: Faculty of Science, Engineering and Built Environment School of Engineering Open Access Collection Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. 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. Versions Version Filter Type Fri, 10 Sep 2010, 13:17:45 EST Fri, 10 Sep 2010, 13:19:29 EST Mon, 13 Sep 2010, 09:56:41 EST Wed, 15 Sep 2010, 12:27:10 EST Thu, 23 Sep 2010, 16:07:46 EST Fri, 24 Sep 2010, 13:46:14 EST Fri, 24 Sep 2010, 13:47:08 EST Fri, 24 Sep 2010, 13:52:11 EST Fri, 24 Sep 2010, 13:52:58 EST Fri, 24 Sep 2010, 13:53:37 EST Fri, 24 Sep 2010, 13:55:16 EST Fri, 24 Sep 2010, 15:15:40 EST Fri, 24 Sep 2010, 15:17:02 EST Tue, 23 Nov 2010, 09:04:05 EST Mon, 07 Feb 2011, 08:43:13 EST Mon, 07 Feb 2011, 08:43:53 EST Mon, 07 Feb 2011, 08:45:26 EST Fri, 16 Mar 2012, 18:16:40 EST Mon, 23 Sep 2013, 12:37:45 EST Tue, 06 Sep 2016, 15:52:46 EST Tue, 05 Dec 2017, 09:17:23 EST Fri, 07 Sep 2018, 15:04:03 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 1 times in Scopus Search Google Scholar Access Statistics: 952 Abstract Views, 207 File Downloads  -  Detailed Statistics Created: Fri, 10 Sep 2010, 13:17:39 EST by Abbas Kouzani