A method was presented based on error-feedback control to establish an adaptive model.This method took the real aero-engine's measurable outputs as the reference command

and the deterioration level as the control variables.Then an augmented linear quadratic regulator(ALQR) controller was designed to make the model's outputs adaptively and precisely track the real engine's outputs.Because of the robustness of the controller

the model has good adaptive performance.The controller and the engine model form the adaptive model.The simulation indicates that this method achieves very good performance.