Nonlinear system identification with control-based continuation of bifurcation curves

Adrien Mélot, Enora Denimal Goy, Ludovic Renson

Abstract: We propose a methodology to carry out nonlinear system identification based on bifurcations. The proposed approach relies on fold bifurcation curves identified experimentally through control-based continuation and an optimization framework to minimize the distance between the experimental and numerical curves computed with bifurcation tracking analyses. The approach is demonstrated on a nonlinear model of base-excited energy harvester with magnetic force nonlinearity.