中文摘要：

文章针对地震作用下高层建筑结构振动控制的鲁棒性问题，将集中H∞控制理论与多重叠分散控制理论相结合导出重叠分散H∞控制算法；采用该算法将20层钢结构Benchmark结构模型分别划分为2、4、8个子结构进行数值计算与分析，比较当结构刚度变化＋15％和-15％时的控制效果。结果表明，当结构刚度在一定范围变化时，重叠分散H∞控制算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分散控制的鲁棒性。该算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。

英文摘要：

In view of the robusmess problem of vibration control of tall buildings under earthquakes, by combi- ning the centralized H∞ control and multi-overlapping decentralized control strategies, an algorithm named o- verlapping decentralized H∞ control is derived. A typical 20-floor seismically excited Benchmark building is used for analyzing the performance of the control strategy. The building is divided respectively to two, four and eight substructures, and their control effects are compared when the structural stiffness increases 15% or decreases 15%. The results indicate that the overlapping decentralized H∞ control strategy can weaken the structural seismic response as effectively as the centralized control strategy. But the former is superior in guar- anteeing the system＇s robustness. When applied in vibration control, the strategy can achieve a reliable con- trol of the seismic action on tall buildings.