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SYSTEM IDENTIFICATION USING FRACTIONAL HAMMERSTEIN MODELS
Mohamed AOUN+, Rachid MALTI*, Olivier COIS+, Alain OUSTALOUP+
+ Laboratoire d’Automatique et de Productique - UMR 5131 CNRS
Université Bordeaux 1-ENSEIRB
351 cours de la Libération, 33405 Talence cedex, France
Tel: +33 (0)556 842 418 – Fax: +33 (0)556 846 644
{cois, aoun, oustaloup}@lap.u-bordeaux.fr
* Intelligence dans les Instrumentations et les Systèmes I2S IUT
de Sénart-Fontainebleau – Université Paris 12
Avenue Pierre Point, 77127 Lieusaint, France
Tél: +33 (0)164 134 485 – Fax: +33 (0)164 134 503
malti@univ-paris12.fr
Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters.
Keywords: identification, Hammerstein model, non-linear modelling, fractional differentiation
Session slot T-We-M21: Posters of Modelling, Identification and Discrete Systems/Area code 3a : Modelling, Identification and Signal Processing
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