基于平衡降阶法的结构振动模态预测控制

针对高层建筑结构由于数学模型阶数较高而带来的难以直接进行控制器设计的问题,采用平衡降阶法对结构模型进行降阶,将可控度较大的几阶模态组装成状态方程;并对地震加速度进行在线预测,从而建立起考虑时滞现象的预测模型,通过滚动优化和反馈校正环节求取主动控制律,对结构实施预测控制。最后对十一层框架结构进行地震响应分析,仿真结果表明,该算法不但有效的抑止了结构的响应,而且很好的解决了时滞问题。

MODAL PREDICTIVE CONTOL 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.