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应用科学学报 ›› 2010, Vol. 28 ›› Issue (2): 197-202.

• 控制与系统 • 上一篇    下一篇

结构地震响应线性二次型最优迭代学习控制

 王建国，博士，教授，博导，研究方向：智能材料、工程结构振动控制、土木工程防灾减灾，E-mail: jianguow@hfut.edu.cn   

  1. 合肥工业大学土木与水利工程学院，合肥230009
  • 收稿日期:2009-06-30 修回日期:2009-12-17 出版日期:2010-03-30 发布日期:2010-03-30
  • 作者简介: 王建国，博士，教授，博导，研究方向：智能材料、工程结构振动控制、土木工程防灾减灾，E-mail: jianguow@hfut.edu.cn

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

  1. School of Civil Engineering, Hefei University of Technology, Hefei 230009, China
  • Received:2009-06-30 Revised:2009-12-17 Online:2010-03-30 Published:2010-03-30
  • Supported by:

    国家自然科学基金(No.10572046)；土木工程防灾减灾安徽省工程技术研究中心资助

     

PDF

1785

被引次数

18

摘要：

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.

关键词: 工程结构, 地震响应, 线性二次型, 迭代学习, 最优控制

Abstract:

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.

Key words: engineering structures, seismic response, linear quadratic performance function, iterative learning, optimal control

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