A new performance index of LQR for combination of passive base isolation and active structural control
A new performance index of LQR for combination of passive base isolation and active structural control
复制标题
被动基础隔震与主动结构控制相结合的LQR新性能指标
DOI：
10.1016/j.engstruct.2017.11.070
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发表时间：
2018
影响因子：
5.5
通讯作者：
She Jinhua
中科院分区：
文献类型：
--
作者：
Miyamoto Kou;Sato Daiki;She Jinhua
本文研究了同时具有被动基础隔震（PBI）和主动结构控制（ASC）的状态反馈控制器设计问题。为了提高控制性能，状态反馈增益的设计基于线性二次型调节器（LQR）的方法，优化一个新的性能指标，包括绝对加速度，层间漂移和速度。对一个十一自由度剪力型结构模型进行了四次地震加速度的模拟计算，验证了该方法的有效性。对比研究表明，与PBI相比，PBI和ASC的结合提高了控制性能，且该方法比考虑层间相对位移和相对速度的ASC具有更好的控制效果。从控制系统结构的角度讨论了系统零点的位置。此外，LQR中的权重对控制性能的影响进行了讨论。以系统的无穷大范数为判据，给出了一种权值选取方法，使权值的效果直观化。
This paper considers the problem of designing a state-feedback controller with both passive base isolation (PBI) and active structural control (ASC). In order to improve control performance, state-feedback gains are designed based on the linear quadratic regulator (LQR) method that optimizes a new performance index containing absolute acceleration, and inter-story drifts and velocity. Simulations on a model of an eleven degree-of-freedom shear building for four earthquake accelerograms are used to verify this method. Comparison studies show that, compared with PBI, the combination of PBI and ASC improves control performance; and this method yields better control results than the conventional ASC, which considers relative displacement and relative velocity of each story. The results are also discussed from the viewpoint of control system structure regarding the location of system zeros. In addition, the effect of weights in the LQR on control performance is discussed. A method for selecting the weights is presented by using the infinity norm of a system as a criterion to visualize their effect.