Modal predictive control of structural vibration based on balanced reduction

In consideration of the difficulty in controller designing of high-rise building due to the high rank of its model, Balanced Reduction is adopted to reduce the rank. A equation of state is formed by several modes with higher controllability. Seismic acceleration is on-line predicted. Thus, A predictive model with the consideration of time delay is founded and the active control law is obtained by roll optimization and feedback adjustment before the procurement of structural predictive control. The seismic response of an 11-story frame is analyzed. The numerical example is presented to show that the structural responses are reduced effectively and the time delay is resolved desirably.