The present paper deals with a linearization strategy of the non-linear model presenting a gas turbine with two shafts. Indeed, being able to describe and to explain the various phenomena involved and interacted in the dynamics of the turbines has a great impact in practice. Whereas; the modeling of the gas turbine using real data allows to approximate the variables of this nonlinear system based on a linearization approach. It is obvious that the advantage of this approach is to ensure the prediction and the monitoring of the gas turbine behavior to assess its optimized control. In this paper the obtained results based on real data of onsite measurements allow to understand and to analyze the phenomena interacting in the gas turbine system, and therefore the prediction of its dynamic behavior can be ensured. (C) 2016 Elsevier Ltd. All rights reserved.