Balancing a simulation platform including a nonlinear aeronautical system, the balancing including servoing of an output value of the system to a recorded value, including a first filter producing an inversion of a simplified model of the system for generating a control for the system based on a model correction information item estimating a modeling error of the simplified model and an information item on difference between the output value and the recorded value, and a modeling corrector looping including a second filter using the simplified model to calculate, based on the control and the output value, the model correction item to be supplied to the first filter.