On-line Identification of Continuous-time Hammerstein Systems via RBF Networks and Immune Algorithm

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Continuous-time Hammerstein Systems via RBF Networks and Immune Algorithm</title> <meta name="description" content="On-line Identification of Continuous-time Hammerstein Systems via RBF Networks and Immune Algorithm"> <meta name="keywords" content="Continuous-time System, Hammerstein System, OnlineIdentification, Immune Algorithm, RBF network."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <meta name="citation_title" content="On-line Identification of Continuous-time Hammerstein Systems via RBF Networks and Immune Algorithm"> <meta name="citation_author" content="Tomohiro Hachino"> <meta name="citation_author" content="Kengo Nagatomo"> <meta name="citation_author" content="Hitoshi Takata"> <meta name="citation_publication_date" content="2008/06/25"> <meta name="citation_journal_title" content="International Journal of Electrical and Computer Engineering"> <meta name="citation_volume" 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class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Tomohiro%20Hachino">Tomohiro Hachino</a>, <a href="https://publications.waset.org/search?q=Kengo%20Nagatomo"> Kengo Nagatomo</a>, <a href="https://publications.waset.org/search?q=Hitoshi%20Takata"> Hitoshi Takata</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with an on-line identification method of continuous-time Hammerstein systems by using the radial basis function (RBF) networks and immune algorithm (IA). An unknown nonlinear static part to be estimated is approximately represented by the RBF network. The IA is efficiently combined with the recursive least-squares (RLS) method. The objective function for the identification is regarded as the antigen. The candidates of the RBF parameters such as the centers and widths are coded into binary bit strings as the antibodies and searched by the IA. On the other hand, the candidates of both the weighting parameters of the RBF network and the system parameters of the linear dynamic part are updated by the RLS method. Simulation results are shown to illustrate the proposed method. <iframe src="https://publications.waset.org/3831.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Continuous-time%20System" title="Continuous-time System">Continuous-time System</a>, <a href="https://publications.waset.org/search?q=Hammerstein%20System" title=" Hammerstein System"> Hammerstein System</a>, <a href="https://publications.waset.org/search?q=OnlineIdentification" title=" OnlineIdentification"> OnlineIdentification</a>, <a href="https://publications.waset.org/search?q=Immune%20Algorithm" title=" Immune Algorithm"> Immune Algorithm</a>, <a href="https://publications.waset.org/search?q=RBF%20network." title=" RBF network."> RBF network.</a> </p> <p class="card-text"><strong>Digital Object Identifier (DOI):</strong> <a href="https://doi.org/10.5281/zenodo.1331035" target="_blank">doi.org/10.5281/zenodo.1331035</a> </p> <a href="https://publications.waset.org/3831/on-line-identification-of-continuous-time-hammerstein-systems-via-rbf-networks-and-immune-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3831/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3831/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3831/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3831/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3831/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3831/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3831/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3831/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3831/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3831/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3831.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1362</span> </span> <p class="card-text"><strong>References:</strong></p> <br>[1] O. Nelles, Nonlinear System Identification, Springer, 2000. <br>[2] S. A. Billings and S. Y. Fakhouri, "Identification of systems containing linear dynamic and static nonlinear elements", Automatica, Vol.18, No.1, pp.15-26, 1982. <br>[3] H. Al-Duwaish and M. N. Karim, "A new method for the identification of Hammerstein model", Automatica, Vol.33, No.10, pp.1871-1875, 1997. <br>[4] F. C. Kung and D. H. Shih, "Analysis and identification of Hammerstein model non-linear delay systems using block-pulse function expansions", Int. J. Control, Vol.43, No.1, pp.139-147, 1986. <br>[5] S. Adachi and H. Murakami, "Generalized predictive control system design based on non-linear identification by using Hammerstein model (in Japanese)", Trans. of the Institute of Systems, Control and Information Engineers, Vol.8, No.3, pp.115-121, 1995. <br>[6] T. Hatanaka, K. Uosaki, and M. Koga, "Evolutionary computation approach to Hammerstein model identification", Proc. of the 4th Asian Control Conference, pp.1730-1735, 2002. <br>[7] T. Hachino and H. Takata, "Structure selection and identification of Hammerstein type nonlinear systems using automatic choosing function model and genetic algorithm", IEICE Trans. on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E88-A, No.10, pp.2541- 2547, 2005. <br>[8] J. D. Farmer, N. H. Pakard, and A. S. Perelson, "The immune system, adaptation, and machine learning", Physica 22D, pp.187-204, 1986. <br>[9] Y. Ishida, H. Hirayama, H. Fujita, A. Ishiguro, and K. Mori, Immunity- Based Systems and Its Applications - Intelligent Systems by Artificial Immune Systems (in Japanese), CORONA publishing co., 1998. <br>[10] K. Mori, M. Tsukiyama, and T. Fukuda, "Immune algorithm with searching diversity and its application to resource allocation problem (in Japanese)", IEEJ Trans. on Electronics, Information and Systems, Vol.113-C, No.10, pp.872-878, 1993. <br>[11] R. H. Kohr, "A method for the determination of a differential equation model for simple nonlinear systems", IEEE Trans. on Electronic Computers, Vol.12, pp.394-400, 1963. <br>[12] K. M. Tsang and S. A. Billings, "Identification of continuous time nonlinear systems using delayed state variable filters", Int. J. Control, Vol.60, No.2, pp.159-180, 1994. </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">© 2024 World Academy of Science, Engineering and Technology</div> </div> </footer> <a href="javascript:" id="return-to-top"><i class="fas fa-arrow-up"></i></a> <div class="modal" id="modal-template"> <div class="modal-dialog"> <div class="modal-content"> <div class="row m-0 mt-1"> <div class="col-md-12"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> </div> </div> <div class="modal-body"></div> </div> </div> </div> <script src="https://cdn.waset.org/static/plugins/jquery-3.3.1.min.js"></script> <script src="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.waset.org/static/js/site.js?v=150220211556"></script> <script> jQuery(document).ready(function() { /*jQuery.get("https://publications.waset.org/xhr/user-menu", function (response) { jQuery('#mainNavMenu').append(response); });*/ jQuery.get({ url: "https://publications.waset.org/xhr/user-menu", cache: false }).then(function(response){ jQuery('#mainNavMenu').append(response); }); }); </script> </body> </html>

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On-line Identification of Continuous-time Hammerstein Systems via RBF Networks and Immune Algorithm