Creep Modeling for Piezoelectric Actuators UsingFractional Order System of Commensurate Order
Résumé
This paper focuses on the creep modelling forthe piezoelectric actuators (PEAs) using fractional system ofcommensurate order. The proposed fractional system of commensurateorder is derived from another fractional system of noncommensurate order through an identification method based onthe recursive least squares algorithm. The choice of the fractionalsystem of commensurate order representation is due mainly tothe ability to use this representation to implement the PEA usinganalogue circuits through rational function approximation ofits irrational transfer function, to represent the PEA using afractional order state space representation, to easily study thePEA’s stability and to derive its closed form responses. Theproposed PEA model has been validated in simulation and onan experimental set-up from Gipsa-lab