Abstract This document describes the extended linearization method for system control. The purpose of which is to determine a non-linear control signal in such a way that linearization of said signal around an operating point results in the approximate linear controller. When the approximate linear controller is obtained, a non-linear control signal is inferred from it, which allows the system to be controlled around the family of points associated with the initially established operating point. The importance of this type of control technique allows to analyze non-linear systems around the operating points with a wider margin than what could be done traditionally. its implementation on a converter is of great importance since electrical systems every day incorporate more elements of power electronics.