Non-Linear System Identification Using Volterra Series Expansion

We present in this article a method of identification of the non-linear systems whose the input output functional is regular and homogeneous. The model is a Volterra series truncated in its first tenns. The Volterra kernels are expanded on orthonormal bases and each term of the series is balanced by a function of activation. The amplitude of these functions depends on the distance of the system of its point of initial operation. Two examples in simulation, a polynomial monovariable system and a fluidic system, illustrate this method.