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Dynamical Modelling Using Ck Spline Functions With Application To Weight Sensors

Authors:Lakhdari Zakaria, LUSAC, Université de Caen, France, Metropolitan
Makany Philippe, Université de Caen, France, Metropolitan
Rouff Marc, Université de Caen, France, Metropolitan
Topic:1.1 Modelling, Identification & Signal Processing
Session:Applications of Nonlinear Modeling Methods
Keywords: Ck spline functions, bilinear systems, identification, modelling, creep, relaxation, temporal response, weight sensors.

Abstract

We present in this article an identification and signal processing of weight sensors. The dynamical modeling of these sensors is nonlinear and can be described in the state space representation by a bilinear algebraic structure. This system can be transformed by local diffeomorphisms (depending only on their input-output variables) by using an elimination method. The identification process is based upon a projection of experimental data in the Sobolev space (Ck spline approximation). The experimental results show the good accordance of our projection with the real response of the sensor.