Identification and state realization of non-rational convolutive models by means of diffusive representation

Céline Casenave (1) , Gérard Montseny (1)

1 LAAS-MRS

The authors introduce a new identification method for general causal convolution models of the form u↦h*u=H(∂t)u, 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.

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

Domaines: Automatique / Robotique

Céline Casenave, Gérard Montseny. Identification and state realization of non-rational convolutive models by means of diffusive representation. IET Control Theory and Applications, 2011, 5 (7), pp.934--942. ⟨10.1049/iet-cta.2010.0229⟩. ⟨hal-00831398⟩