The exhibition of hysteresis effects in smart actuators highly affect the accuracy and stability of the control systems. The common approaches are the use of inverse hysteresis as a compensator. However, when the hysteresis is unknown, the inverse compensation will introduce notably inverse compensation error with an estimated inverse construction. The challenge is that the expression for the inverse compensation error is required for stability analysis. In this note, by developing an error expression of the inverse compensation, an inverse based robust adaptive control approach is proposed, leading to a strict stability proof. Simulation results show that the proposed controller has certain advantages comparing with the one without using an inverse compensator.