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Identification of Nonlinear Volterra Models by Means of Diffusive Representation

Céline Casenave 1 Gérard Montseny 1 
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : We introduce a new identification method for nonlinear Volterra models of the form Hx = f(u, x) with H a causal convolution operator. It is mainly based on a suitable parameterization of H deduced from the so-called diffusive representation, devoted to state representations of integral operators. Following this approach, the complex dynamic nature of H can be summarized by a few numerical parameters on which the identification of the dynamic part of the model will focus. For illustration, we implement this method on a concrete numerical example.
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Céline Casenave, Gérard Montseny. Identification of Nonlinear Volterra Models by Means of Diffusive Representation. 17th IFAC World Congress, Jul 2008, Seoul, South Korea. pp.4024-4029, ⟨10.3182/20080706-5-KR-1001.00677⟩. ⟨hal-01061509⟩



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