Gas turbines are one of the most important power generation technologies in countries especially with natural gas resources. However, its complicated technology and the operation of which at peak performance is effective in power generation systems. This paper proposes the use of grey wolf optimization (GWO) approach in optimizing the proportional integral derivative (PID) controller parameters using MATLAB program to control the exhaust temperature of a gas turbine. The main aim is to keep on turbine operation behavior at optimum performance. The achieved results show the effectiveness of the proposed exhaust temperature controller based on the use of the Rowen's model, clearly approach for the gas turbine. The obtained results of the optimum values of the GWO algorithm are compared with those attained using the optimum values of the current 265 MW simple cycle, Actual single-shaft HDGT.