Identification of Time-non local Models under Diffusive Representation

Abstract

Abstract:In this paper, we show how the so-called diffusive representation can be used in order to identify nonlinear Volterra models of the form H(∂ t )X = f (u, X) + v. Several methods are described, all being based on a suitable parameterization of H(∂ t ) by means of its γ-symbol. Following this idea, the complex dynamic nature of H(∂ t ) can be summarized by a few parameters on which the identification of the dynamic part of the model will focus. For illustration, we implement the methods on a concrete numerical example.

Control of fed-batch bioreactors models by means of dynamic time-scale transformation and operatorial parametrization

“…This abstract formulation can include most of classical dynamic problems encountered in practice, such as estimation, identification Casenave [2010], control, analysis, numerical simulation etc. Montseny [2009].…”