Gas turbines have a wide range of application in different industries. There are different models of the gas turbine for its analysis and diagnosis. In this paper, a hybrid model is considered for the gas turbine. This model combines thermodynamic relations and data-based equations which cause to eliminate dynamic loops of thermodynamic relations. Also, the compressor performance curve is considered in the proposed model which leads to noticing physical and geometric characteristic of a gas turbine. The model is dynamic and nonlinear that cause to adapt to a different condition and increase the accuracy of modeling. The model is accurate, simplified and nonlinear state space form. For these reasons, the model is suitable for analyzing of controllers and observers. The proposed controller is a new sliding model controller for implementing in the model. The controller is based on the l_1 norm and frequency analysis. Since the sliding mode is robust and the l_1 norm is optimizer than the l_2 norm, the controller tracks fuel command with acceptable accuracy and minimizing the control fluctuations. Also, the data that is used in this paper is the data of an industrial gas turbine (IGT25) of Iran’ ؛ s national turbine which is logged in different ambient and functions conditions.