A global robust control scheme based on adaptive back stepping method was proposed for trajectory tracking of a quadrotor aircraft subjected to the compounded uncertain term caused by model uncertainties and unknown external disturbances.The compounded uncertain term was transformed into a linear parameter form with single virtual variable.And a novel adaptive law was designed to update the virtual variable,which significantly reduced the computational complexity and improved the real time property of the controller.Based on the Lyapunov theory,the robustness of the proposed method to the compounded uncertain and the global uniform final boundedness of all the variables in the system were proved.Finally,the effectiveness and feasibility of the novel global robust control strategy were verified by numerical simulation.Simulation results show that the controller achieves superior performances in trajectory tracking control of a quadrotor subjected to the compounded uncertain.