This paper presents a new control system that suppresses not only the relative displacement, but also the absolute acceleration of a structure. It uses the modified-equivalent-input-disturbance (MEID) approach to design a control system. The control of the absolute acceleration is very important to protect properties and people from a large earthquake, and has been considered to be a difficult problem. To deal with this problem, this study constructed a modified EID control system to achieve satisfactory control performance.