考虑控制延时影响的相邻建筑结构的离散变结构振动控制方法

研究了基于离散变结构控制算法的考虑控制延时影响的相邻建筑结构体系地震反应半主动控制的基本设计和计算方法。首先，建立了相邻结构体系的力学模型及连续运动状态方程，并将其离散化成标准离散状态方程形式。其次，简要地讨论了离散变结构控制器的设计方法，包括切换平面的选择及离散趋近率的构成．最后，应用本文方法对主楼12层，裙房5层的实例结构进行了数值仿真分析，结果表明，该控制方法不仅能有效抑制相邻结构地震反应的鞭梢效应，而且在控制延时存在的情况下，仍能保证系统的减震性能和稳定性。

Discrete-time variable structure control method for adjacent buildings with time delay in control

This paper presents a basically-analytical method for semi-active control of seismic responses of adjacent buildings with time-delay in control based on discrete-time variable structure control algorism. Firstly, not only mechanic model but also continuous state equation of motion are set up, which are also discretized and transformed into standard discrete form. Secondly, the design method of discrete variable structure control is discussed, including selection of discrete switching surface and formation of discrete approach-law reaching condition. Lastly, an earthquake-excited tall building with a 12-story tower structure and a 5-story skirt structure is used to validate the analytical method presented. The results of simulated computation imply that, this control method can significantly reduce the seismic 'whiplash effect' of adjacent-buildings, and even under the presence of time-delay in control, it can ensure system performance and stability.