A method for adaptive global fast non-singular Terminal sliding mode control was put forward according to the characteristics of aero-engine's control system with the robustness and the capability of fast response as well as the singularity shortcoming of Terminal sliding mode control. The devised fast non-singular Terminal sliding surface solved these two problems of the singularity and the slow convergence speed when the sliding surface was far away the equilibrium point. Equivalent interferences were estimated by self-adaptive method without need to know the upper boundary of interferences of aero-engine. Then the stability was analyzed based on the theory of Lyapunov. Simulation results show that the devised Terminal sliding mode controller has good dynamic performance;the response of state output is fast

and the regulation time is about 2s

without steady error

overshoot and singularity.