Active Vibration Control for a Super High Rise Building of both strong excitation and small displacement

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Vibration control of a Super High Rise Building (SHRB)(more than 300m, 100 story, for example) is investigated. It has extremely low frequency, lightly damped structural modes. Reductions of acceleration, displacement between stories, a force to control and the stroke of a damper are the objectives in the control of a seismic response to assure the amenities of the building. To deal with these problems, we use a mass damper for a passive and active control. As control laws to implement the controls, Linear Quadratic (LQ) optimal control method, and H^* control method are examined. It is shown that the proposed control system can effectively reduce the absolute displacement response to winds and earthquake.