The subject of this paper is to develop a induction motor drive control system based on Lyapunov stability theory.A robust self-adaptive control system is developed for the robust and precise position control.In the proposed robust selfadaptive control system,firstly,the ideal feedback linearization control law is designed based on the backstepping technique.Secondly,a novel self-adaptive PID controller is designed as the main controller,which is used to substitute the ideal feedback linearization control law.The effectiveness of the proposed control strategy is demonstrated by both simulation results and experimentation show.