Gas turbine engines have a complicated internal structure. In the case of the marine, parameters of gas turbine engine model change according to the characteristics of the marine environment and the operating point. Since it is mainly used in warships and there is not much accumulated data, it is difficult to design model parameters or controllers. The gas turbine engine mainly used for marine use is the LM-2500. In this paper, gas turbine engine models are designed using sea trial data of LM-2500. Three models are designed for three operating points. This paper proposes a PID controller design method for tracking control using RCGA for them. A gas turbine engine is modeled with a gas generator and a FMU(fuel metering unit). The PID controller parameters are tuned using a RCGA to minimize the ITAE objective function. The efficacy of the proposed controller is verified by performing simulations and using Ms(Maximum sensitivity) and performance index.