: This paper proposes a new energy saving method of mechanical systems. In the proposed method, the potential energy stored in mechanical springs is effectively utilized to make periodic motions. In other words, the proposed system is based on resonance. Particularly, we propose an inertia adaptive control method in which a mass is moved in order to change the moment of inertia and change the desired motion cycle. Convergence to desired periodic motions is mathematically proven and performance of the proposed method is demonstrated by several simulation results.