连体结构基于时域显式法的瞬时最优控制算法  

Instantaneous Optimal Control Algorithm of Connected Structures Based on Time Domain Explicit Method

作　　者：李雪平[1] 余超 苏成[1] 何克晶[2] Xueping Li Chao Yu Cheng Su Kejing He(State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, 510640, China School of Computer Science and Engineering, South China University of Technology, 510640, China)

机构地区：[1]华南理工大学土木与交通学院亚热带建筑科学国家重点实验室,广州510640 [2]华南理工大学计算机科学与工程学院,广州510640

出　　处：《固体力学学报》2017年第5期433-441,共9页Chinese Journal of Solid Mechanics

基　　金：中央高校基本科研业务费重点(2014220071);国家自然科学基金(11002056)资助

摘　　要：论文针对受到非平稳地震激励作用下的连体结构提出一种基于时域显式法的瞬时最优控制算法.该算法可以利用有限元模型施加脉冲荷载快速建立受控模型,可以避免系统状态部分可观测的问题,而且可以根据需要单独调控子结构受控效果的优点.一连体高层建筑结构算例用来说明该算法,并将该算法与传统瞬时最优控制算法比较,结果表明论文算法具有良好的控制效果.A new instantaneous optimal control algorithm based on the time domain explicit method for the connected structures subjected to non-stationary random excitations is proposed.First,the timedomain explicit method（TDEM）for linear system is introduced in detail and the control model of a connected building structure is established using the TDEM.Then,the optimal locations of the control force are analyzed by mode analysis and the optimal control force is obtained by the instantaneous optimal control algorithm（ISO）.Finally,a connected tall building structure under actually recorded earthquake excitations is taken as example to illustrate the proposed method.Two control strategies are considered and compared in the numerical simulation examples.It is found that the proposed algorithm has such advantages that a control model is easily established by applying the time history method twice in the analysis of unit impulse response through the finite element software,the optimal control forces are directly calculated and solution of the Riccati equation for the linear quadratic Gaussian（LQG）control problem is no longer needed,the problem of partially observable system state is avoided in the control process,and the control effect of each sub-structure can be adjusted as needed for different circumstances.The proposed algorithm is also compared with the traditional instantaneous optimal control algorithm.The results verify the proposed optimal control algorithm.

关 键 词：连体结构 瞬时最优控制 地震激励 时域显式算法 

分 类 号：TU31[建筑科学—结构工程]