建筑结构振动系统的多重叠分散静态输出反馈H_∞控制方法  

Multi-overlapping decentralized static output-feedback H_∞ control approach on vibration systems of tall building

作　　者：康小方[1] 王建国[1] 许庆虎[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,合肥230009

出　　处：《计算力学学报》2015年第1期53-58,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11172087)资助项目

摘　　要：采用分散控制方案能有效解决大尺度土木结构在地震作用下的结构振动控制问题。本文将静态输出反馈、重叠分散控制方法、线性矩阵不等式方法和H∞范数控制算法相结合,提出了多重叠分散静态输出反馈H∞控制方法。通过对状态矩阵添加一个微小的扰动,解决了在求解相应的线性矩阵不等式(LMI)时所遇到的计算困难问题。文中对20层Benchmark建筑结构模型进行数值模拟与计算。结果表明,部分输出反馈控制、重叠静态输出反馈控制和多重叠静态输出反馈控制均获得了与全状态集中控制相近的控制效果,减少了计算成本和控制器设计的复杂性。A decentralized control scheme can effectively solve the control problem of large scale civil engineering structure vibration under earthquake. In this paper, combining the static output feedback, overlapping decentralized control method, linear matrix inequality and H∞ norm control algorithm, the multi-overlapping decentralized static output feedback H∞ control method has been established. The small perturbation matrix was added to the state matrix in order to overcome the computational difficul- ties encountered in solving the linear matrix inequality （LMI）. The vibration control of a twenty layers Benchmark structure model was analyzed with the numerical method. The results show that the part feedback control, the overlapping static output feedback control and the multiple overlapping static out- put feedback control is similar to the whole state centralized control. The computational cost and complexity of controller design have been reduced.

关 键 词：重叠分解 线性矩阵不等式 静态输出反馈 分散H∞控制 

分 类 号：TU355[建筑科学—结构工程] O327[理学—一般力学与力学基础]