On a recursive method for feedback linearization of nonlinear systems:The case of mixing flow dynamical system

The paper aims to approach a design method for transforming a non-linear system in order to find a state-feedback controller form for it. The method is based on a recursive algorithm and takes into account the controllability matrix of the initial system. The efficiency of the recursive algorithm compared to classical feedback linearization method is tested on the 2d mixing flow dynamical system, in a perturbed form with a logistic-type term. It is outlined both the shorter time for the calculus, and the final form less complex for the global non-linear controller associated to the model.