1. Simulation platform ( 1 ) comprising a plurality of equipment items ( 20 ) of systems including at least one nonlinear system and comprising a balancing device ( 50 ) for the said nonlinear system (Mi, 20 , 100 ) based on at least one recorded value (Y k,cons (i) , {tilde over (Y)} cons ) to be attained as output of the nonlinear system, the said nonlinear system supplying at least one output value ({tilde over (Y)}, {tilde over (Y)} (−1) ) according to at least one control (U) received as input, and the said balancing device ( 50 ) comprising: a loop for servoing ( 200 , 300 ) at least one output value ({tilde over (Y)}, {tilde over (Y)} (−1) ) to at least one corresponding recorded value (Y k,cons (i) , {tilde over (Y)} cons ), the servoing loop comprising a first filter ( 300 ) producing an inversion of a simplified model (F m , G m ) of the said nonlinear system (Mi, 20 , 100 ) for generating a said control (U) for the nonlinear system based on a model correction information item (Δ corr ) estimating a modeling error (Δ m ) of the simplified model (F m , G m ) and an information item on difference (v) between the output value ({tilde over (Y)}, {tilde over (Y)} (−1) ) and the corresponding recorded value (Y k,cons (i) , {tilde over (Y)} cons ), and a modeling corrector looping for supplying the said model correction information item (Δ corr ) to the said first filter ( 300 ), the said corrector looping comprising a second filter ( 400 ) using the said simplified model (F m , G m ) of the nonlinear system for calculating the model correction information item (Δ corr ) based on the control (U) as output of the first filter ( 300 ) and the said output value ({tilde over (Y)}, {tilde over (Y)} (−1) ) of the nonlinear system.