地震作用下建筑结构的多时滞最优控制
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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。首先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。在所得出的时滞控制律中,除了包含有当前步的状态反馈,还包含有前若干步控制的线性组合。最后以三层建筑结构为例进行了仿真计算,验证了本文所给多时滞控制律的有效性。
Optimal control method for seismically excited structures with multiple time delays in control is investigated.Firstly,the system state equation with multiple time delays in control is discretized and transformed into a standard discrete form without any explicit time delay using a particular augmenting for state variable.Then,the active controller is designed using the discrete optimal control method.In the time-delay controller designed,it contains not only the current step of the state feedback but also the linear combination of some former steps of control.Finally,the effectiveness of the proposed method for time delay is verified through numerical simulations for a three-storey building.
Optimal control method for seismically excited structures with multiple time delays in control is investigated.Firstly,the system state equation with multiple time delays in control is discretized and transformed into a standard discrete form without any explicit time delay using a particular augmenting for state variable.Then,the active controller is designed using the discrete optimal control method.In the time-delay controller designed,it contains not only the current step of the state feedback but also the linear combination of some former steps of control.Finally,the effectiveness of the proposed method for time delay is verified through numerical simulations for a three-storey building.
引文
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[3]Chung L L,Reinhorn A M,Soong T T.Experiments on activecontrol of seismic structures.Journal of Engineering Mechan-ics,ASCE,1988,114(2),241—256.
[4]Mc Greery S,Soong TT,Reinhorn AM.An experiments studyof time delay compensation in active structural control.In:Proc.of 6th Int.Modal Analysis Conference,SEM,1988,1733—1739.
[5]Cai GP and Hong JZ.Optimal Control Method for SeismicallyExcited Building Structures with Time-delay in Control.Jour-nal of Engineering Mechanics,2002,128(6):602—612.
[6]Yang JN,Wu JC and Agrawal AK.Sliding mode control forseismically excited linear structures.Journal of EngineeringMechanics,1995,121(12):1386—1390.
[2]Abdel-Rohman M.Time-delay effects on active damped struc-tures.Journal of Engineering Mechanics,1987,113(11):1709—1719.
[3]Chung L L,Reinhorn A M,Soong T T.Experiments on activecontrol of seismic structures.Journal of Engineering Mechan-ics,ASCE,1988,114(2),241—256.
[4]Mc Greery S,Soong TT,Reinhorn AM.An experiments studyof time delay compensation in active structural control.In:Proc.of 6th Int.Modal Analysis Conference,SEM,1988,1733—1739.
[5]Cai GP and Hong JZ.Optimal Control Method for SeismicallyExcited Building Structures with Time-delay in Control.Jour-nal of Engineering Mechanics,2002,128(6):602—612.
[6]Yang JN,Wu JC and Agrawal AK.Sliding mode control forseismically excited linear structures.Journal of EngineeringMechanics,1995,121(12):1386—1390.
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