Model simplification and system approximation with constrained Laguerre models
Résumé
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.