Model simplification and system approximation with constrained Laguerre models

Simon Bebe Ekongolo (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

A functional approximation method is presented based on Laguerre functions. This paper illustrates the use of supplementary time constraints (e.g., interpolation of the value of the impulse response of a system at a given time) and frequency constraints (e.g., interpolation of the value of the system's transfer function at a given frequency) in order to improve the quality of approximation. The proposed method may be employed either in the reduction of a known system or in the identification of an unknown system. A number of numerical results further clearly show its advantage over unconstrained least squares approximations.

Keywords: Orthonormal functions; Laguerre functions; Kautz functions; functional approximation; model reduction; identification with constraints

Domains: Automatic

Simon Bebe Ekongolo, Didier Maquin, José Ragot. Model simplification and system approximation with constrained Laguerre models. Symposium on Modelling, Analysis and Simulation, CESA'96, Jul 1996, Lille, France. pp.118-123. ⟨hal-00311216⟩