Identification and state realization of non-rational convolutive models by means of diffusive representationReport as inadecuate




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* Corresponding author 1 LAAS-MRS LAAS - Laboratoire d-analyse et d-architecture des systèmes Toulouse

Abstract : The authors introduce a new identification method for general causal convolution models of the form u↦h*u=H∂tu, where h is the impulse response of the system, to be identified from measurement data. This method is based on a suitable parameterisation of operator H∂t deduced from the so-called diffusive representation, devoted to state representations of such integral operators. Following this approach, the complex dynamic features of H∂t can be summarised by a few numerical parameters on which the identification method will focus. The class of concerned convolution operators includes rational as well as non-rational ones, even of complex nature. For illustration, we implement this method on a numerical example.

keyword : System identification Least-squares method Nonlinear Volterra model Implicit model Nonrational operator State realization Diffusive representation





Author: Céline Casenave - Gérard Montseny -

Source: https://hal.archives-ouvertes.fr/



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