基于加速度反馈的大型复杂结构H_∞控制

H_∞ CONTROL BASED ON ACCELERATION FEEDBACK OF COMPLEX LARGE-SCALE STRUCTURES

提出了基于加速度反馈的大型复杂结构的H∞控制方法。由于大型复杂结构的阶数很高,基于全阶系统进行控制器设计存在困难,故该文采用降阶控制方法。利用加速度传感器测量得到的基础运动绝对加速度信息,并结合平衡降阶法和H∞控制算法设计了降阶的H∞控制器和H∞观测器。通过对导管架平台结构地震响应的ATMD主动控制进行数值仿真,以评价本文算法的有效性,并确定控制器的最优参数。仿真结果表明如果降阶H∞控制器的参数选择合适,则可以显著减小平台的地震响应。

A H∞ control method based on acceleration feedback of complex large-scale structures is presented. Since complex large-scale structures generally involve excessive degrees of freedom, a controller design based on a full-order system may be difficult. A reduced-order control method has thusly been adopted. The reduced-order H∞ controller and H∞ observer are designed by combining a balanced reduction method and H∞ control algorithm using absolute acceleration information measured by acceleration sensors located on the base. The numerical simulation is performed on ATMD active control of seismic responses of a jacket platform to evaluate the effectiveness of the presented method and to identify the optimal parameters of controllers. Simulation results show that the seismic response of the platform can be considerably reduced if the parameters of the reduced-order H∞ controller are selected appropriately.