结构地震响应线性二次型最优迭代学习控制

Optimal Control of Structure Seismic Response Using Linear Quadratic Performance Function and Iterative Learning

针对地震作用下工程结构的地震响应,将线性二次型最优控制与迭代学习控制相结合,提出了线性二次型最优迭代学习混合控制方法.该方法根据迭代学习控制过程中二次型性能指标函数极小化导出施加于工程结构的最优控制力,并依此研究该方法减小工程结构地震位移响应的有效性.选取典型建筑结构振动控制Benchmark第2阶段的地震作用Benchmark模型为研究对象,数值仿真结果表明,二次型最优迭代学习混合控制方法能对Benchmark模型的地震位移响应进行有效控制,使控制效果得到一定的改善.

By combining linear quadratic optimal control and iterative learning control （ILC）, a new hybrid control strategy named linear quadratic optimal iterative learning control is obtained. The optimal control force is determined according to quadratic performance function minimization in the process of ILC to reduce the earthquake displacement response of engineering structures. Effectiveness of the control is studied. The model of a typical seismically excited building in the second generation benchmark vibration control for buildings is studied using the new hybrid control strategy to calculate seismic displacement response of the building. Simulation results show that the new control strategy can effectively control earthquake displacement response with improved effectiveness.