Autopilot systems for unmanned aerial vehicles (UAVs) and aircrafts provide flight missions without need of human input and make them more reliable and efficient. The first step of designing an autopilot is a stabilizer mode. Conventional autopilot systems have inner and outer loops. Stabilizer is the inner loop for an autopilot. In this paper designing an aircraft control system ensures good performance and robustness that allows control of roll, pitch and yaw angles will be declared. Aircraft dynamics are used to design the model of the control system in the MATLAB Simulink environment. Using loop shaping method to achieve stable and robust control system will be the strategy. Generated controllers to find the most effective one are embedded in the X-plane which is one of the realistic simulations.