Dynamic simulation is a great design tool in selecting control strategies and studying of the dynamic response of the engine. A model based on physical description of the plant components has been derived for control purposes, it is complex and highly non-linear but able to provide a more detailed description of the power plant. The nonlinear dynamic model is developed in order to simulate the dynamic behavior of the gas turbine, to provide a fast and reliable model for the syntheses of the controller. The complete model comprise of seven differential equations obtained by applying mass and energy balance to each of three components of the plant, including one equation for mechanical energy for the rotor shaft. The non-linear model is linearised in order to design a Single-Input, Single-Output (SISO) controller for the turbine, and an adaptive self-tuning pole assignment controller is considered and designed for the turbine. The models are simulated using the MATLAB and SIMULINK software.The results of the dynamic simulation appear reasonable and confirm that the plant and the selected control will result a safe and efficient operation of the plant under steady state and transient conditions. The output of the theoretical model under a step input was compared to experimentally collected data from the gas turbine. The results of the comparison show that the theoretically derived model can satisfactorily represent the system.