控制存在延时的建筑结构地震作用下的最优控制方法
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摘要
直接从时滞微分方程进行控制律设计 ,对控制存在延时的建筑结构在地震作用下的最优控制方法进行了研究。在控制时滞量为采样周期的整数倍和非整数倍的两种情况下 ,通过采用零阶保持器 ,将包含时滞的连续系统转化为形式上不包含时滞的标准离散线性系统 ,然后进行控制律的设计。所得出的控制律表达式中 ,除了含有当前的状态反馈外 ,还包含有前若干步控制项的线形组合。最后对某三自由度结构模型进行了仿真计算 ,结果表明 ,延时对控制效果有较大的影响 ,延时并非愈短愈好。
Optimal control method for seismically excited building structures with time delay in control is investigated in this paper. Controller is designed directly from differential equation. In consideration of two cases that the time delay is integer times and non integer times of the sampling period respectively, the continuous time systems with time delay are transformed into standard discrete forms which contain no time-delay by using an zero order holder. Then the controller can be designed. The deduced controller contains not only current step of state feedback but also linear combination of some former steps of control. Simulation calculation is taken into account for a three degree of freedom model at the end of this paper. Simulation results demonstrate that control effectiveness is affected by time delay obviously and small time delay in control does not imply good control efficiency.
Optimal control method for seismically excited building structures with time delay in control is investigated in this paper. Controller is designed directly from differential equation. In consideration of two cases that the time delay is integer times and non integer times of the sampling period respectively, the continuous time systems with time delay are transformed into standard discrete forms which contain no time-delay by using an zero order holder. Then the controller can be designed. The deduced controller contains not only current step of state feedback but also linear combination of some former steps of control. Simulation calculation is taken into account for a three degree of freedom model at the end of this paper. Simulation results demonstrate that control effectiveness is affected by time delay obviously and small time delay in control does not imply good control efficiency.
引文
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2 L .Zhang,C .Y .Yang,M .J.ChajesandH DCheng.,Stabilityofactive tendonstructuralcontrolwithdelay.JEngngMech,ASCE ,1993,119(5):1017～1024
3 李森林,温立志.泛函微分方程.长沙:湖南科学出版社,1987
4 孙增圻.计算机控制理论及应用.北京:清华大学出版社,1989
5 J.N .Yang,J.C .WuandA .K .Agrawal.,Slidingmodecontrolforseismicallyexcitedlinearstructures.JEngngMech,ASCE ,1995,121(12):1386～1390
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