1. A simulation platform, comprising: a plurality of equipment items of systems including a nonlinear system; and a hardware processor configured to implement a balancing device for the nonlinear system to perform balancing of the nonlinear system based on a corresponding recorded value to be attained as output of the nonlinear system, wherein the nonlinear system supplies an output value according to a control received as input, and the balancing device implemented by the hardware processor performs: servoing, via a loop, the output value to the corresponding recorded value, the servoing loop including a first filter that produces an inversion of a simplified model of the nonlinear system for generating said control for the nonlinear system based on a model correction information item estimating a modeling error of the simplified model and an information item, the information item being a difference between a value based on the output value and the corresponding recorded value, and supplying, via a modeling corrector looping, the model correction information item to the first filter, the corrector looping including a second filter that uses the simplified model of the nonlinear system for calculating the model correction information item based on the control as output of the first filter and the value based on the output value of the nonlinear system, wherein the nonlinear system has an affine nonlinear transfer function having as input-output dynamic: 
 {tilde over (Y)}=F ( X )+ G ( X )· U where U is a vector corresponding to the input control, X is a vector corresponding to a state of the nonlinear system and Y is a vector corresponding to the output value, and wherein the simplified modeling of F(X) has a zero value.