地震作用下建筑结构的静态输出反馈H2/H∞控制

Static Output Feedback H2/H∞ Control for Building Structures under Seismic Excitation

为了研究地震作用下建筑结构的振动控制问题,基于驱动器饱和特性,提出了一种基于线性矩阵不等式技术的静态输出反馈H 2/H∞控制方法。采用提出的控制策略对一个8层剪切型结构模型进行了数值模拟与分析,并与传统LQR控制方法进行了对比。结果表明,该控制方法能够有效地抑制地震作用下建筑结构的位移和加速度响应,平均控制率要优于LQR方法,说明了该方法的有效性。同时,在实际应用中输出反馈在技术上更易于实现。

In order to study the vibration control problem of building structures subjected to earthquake excitation,this paper,based on the linear matrix inequality technique,proposes a static output feedback H 2/H∞control approach and takes into consideration the actuator saturationn.Numerical simulation and analysis of an 8-layer shear model were carried out by using the proposed static output feedback H 2/H∞control algorithm and the traditional LQR control method.The results show that the proposed control method can effectively suppress the displacement and acceleration response of the structure under seismic loads.The control performance of static output feedback control strategy is close to that of the LQR method,which illustrates its validity.