地震作用下高层建筑结构的重叠分散控制研究

摘要

A method for big system vibration control of tall buildings under earthquakes is studied in the paper.By introducing the decentralized control strategy,an algorithm named Overlapping Decentralized Optimal Control has been derived.Moreover,the strategy combines the Inclusion Principle and Linear Quadratic Regulator Optimal Control and then obtains the overlapping decentralized controllers through extension,decomposition,coordination and contraction.A typical 20-floor seismically excited building is used for analyzing the performance of the control strategy.The results indicate that the overlapping decentralized control strategy could weaken structural seismic response as effectively as centralized control strategy.But the former is superior in guaranteeing the system’s robustness and probability of reliability.Applied in vibration control,the strategy can achieve a reliable control of the seismic action on tall buildings.%针对地震作用下高层建筑结构大系统控制问题，引入分散控制的策略，导出重叠分散最优控制(Overlap-ping Decentralized Optimal Control)算法。该方法将包含原理与线性二次型(Linear Quadratic Regulator)最优控制原理相结合，通过扩展分解控制系统及协调收缩获得重叠分散控制器。对某20层钢结构 Benchmark 结构模型进行数值计算与分析，结果表明，导出的重叠分散最优控制方法可以有效地抑制结构地震反应，控制效果不仅接近传统的集中控制方法，而且提高了高层结构大系统控制的鲁棒性和可靠性。本文方法可应用于大尺度高层结构振动控制中，实现高层建筑结构地震反应的可靠控制。