结构振动主动控制的多时滞控制律的设计方法  

Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control

作　　者：陈龙祥[1] 蔡国平[1,2] 

机构地区：[1]上海交通大学工程力学系,上海200240 [2]上海交通大学海洋工程国家重点实验室,上海200240

出　　处：《应用数学和力学》2009年第11期1318-1326,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10772112;10472065);教育部重点资助项目(107043);上海市教育委员会科研创新重点资助项目(09ZZ17);教育部博士点专项基金资助项目(20070248032);海洋工程国家重点实验室自主研究课题资助项目(GKZD010807)

摘　　要：对遭受地震激励的建筑结构主动控制中的多时滞问题进行研究.通过一种特殊的系统状态变量增广,将包含有多时滞项的系统状态方程转化为形式上不包含时滞的标准离散形式,然后采用离散最优控制方法设计时滞控制律.最后通过数值仿真验证了多时滞控制律的有效性.仿真结果显示,若对时滞不进行处理,控制系统会在很小时滞量的情况下出现发散,而该文中的时滞问题处理方法能够取得良好的控制效果,而且该方法不但能处理小时滞量问题,也能处理大时滞量问题.Optimal control method for seismically excited building structures with multiple time delays is investigated. Firstly the system state equation with multiple time delays is discretized and transformed into a standard discrete form without any explicit time delay by a particular augmenting for state variables. Then a time-delay controller is designed based on this standard equation using the discrete optimal control method. Finally the effectiveness of the proposed controller is demonstrated by numerical simulations. Simulation results indicate that a very small time delay may result in instability of the control system if it is not compensated in control design. Time delay may be compensated effectively by the proposed controller and good control effectiveness may be obtained simultaneously. Moreover, the proposed controller is available for both small and large time delay.

关 键 词：建筑结构 主动控制 多时滞 

分 类 号：O328[理学—一般力学与力学基础]