Optimal control method for seismically excited building structures with time-delay in control
Optimal control method for seismically excited building structures with time-delay in control
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DOI：
10.1061/(asce)0733-9399(2002)128:6(602
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发表时间：
2002-06-01
期刊：
影响因子：
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通讯作者：
Huang, JZ
中科院分区：
文献类型：
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作者：
Cai, GP;Huang, JZ
本文研究了具有控制时滞的线性结构在地震作用下的最优控制问题。利用零阶保持器保持器，分别在时滞为整数倍采样周期和非整数倍采样周期两种情况下，将具有时滞的连续时间微分方程转化为不含时滞的标准离散时间形式.在最优控制器的设计中采用了连续时间性能指标，并将其转化为离散形式。然后，根据经典的离散LQR方法设计最优控制器。所得到的控制器不仅包含当前的状态反馈步，而且包含前几步控制的线性组合。由于最优控制器直接由时滞微分方程得到，易于保证被控结构的稳定性。此外，该控制方法适用于大时滞的情况。数值仿真结果表明了所提出的控制方法的性能和系统的稳定性。仿真结果表明，本文提出的控制方法是一种可行的和有吸引力的控制策略，用于地震激励下的线性结构。
Optimal control method for seismic-excited linear structures with time delay in control is investigated in this paper. Using zero-order holder, the continuous time differential equation with time delay can be transformed into a standard discrete time form that contains no time delay in terms of two cases that the time delay is integer and noninteger times of sampling period, respectively. The continuous time performance index is used in the design of the optimal controller and it is also transformed into discrete form. Then, the optimal controller can be designed according to the classical discrete LQR method. The controller obtained contains not only current step of state feedback but also a linear combination of some former steps of control. Because the optimal controller is obtained directly from the time-delay differential equation, it is prone to guarantee the stability of the controlled structures. Furthermore, this control method is available for case of large time delay. The performance of the control method proposed and system stability are both demonstrated by numerical simulation results. Simulation results demonstrate that the control method proposed in this paper is a viable and attractive control strategy for application to seismically excited linear structures.