为解决建筑结构在地震或风荷载等作用下的振动控制问题,得出了状态反馈下的最优鲁棒H∞控制器。对于系统参数和输入特性都不确知的建筑结构,从鲁棒H∞控制理论出发,求解线性矩阵不等式。以鲁棒H∞范数的极小值γm in为准则,优化了作动器的数目和位置。该控制器的设计和作动器的优化配置同时考虑了两者的相互影响,对其进行了一体化设计。通过对一个多层剪切型建筑结构进行仿真计算,验证了该方法的有效性和其简单易行、鲁棒性强等特性。 In order to solve the vibration control problem of building structures under earthquake or wind load, an optimal robust H∞ controller with state feedback is obtained. For a building structure with unknown system parameters and input characteristics, a linear matrix inequality is solved from a robust H∞ control theory. Taking the minimum value of the robust H∞ norm γm in as a criterion, the number and position of the actuators are optimized. The design of the controller and the optimal configuration of the actuator take into account the mutual influence of the two, and an integrated design is performed on the controller. Through a simulation calculation of a multi-layer shear-type building structure, the effectiveness of the method and its simplicity, robustness and robustness are verified.