A spectrum for estimating the maximum control force for passive-base-isolated buildings with LQR control
A spectrum for estimating the maximum control force for passive-base-isolated buildings with LQR control
复制标题
DOI：
10.1016/j.engstruct.2019.109600
复制
发表时间：
2019-11
影响因子：
5.5
通讯作者：
Daiki Sato;Yinli Chen;Kou Miyamoto;Jinhua She
中科院分区：
文献类型：
--
作者：
Daiki Sato;Yinli Chen;Kou Miyamoto;Jinhua She
全球许多建筑已采用被动基础隔离 (PBI) 和主动结构控制 (ASC) 的组合来提高控制性能。控制器主要采用线性二次调节器（LQR）方法设计，该方法通过使用其权重来最小化响应和控制力。虽然所需控制力的估计对于选择合适的执行器来执行 ASC 很重要，但以前的方法采用了试错法，因为最大控制力对自然周期和无源阻尼器的依赖性尚未在理论上得到表达。为了解决这个问题，本文提出了一个谱，即控制力谱，来估计最大控制力，同时考虑 PBI 和 ASC 的组合。推导了 ASC 系统的等效模型来描述振动特性与 LQR 权重矩阵之间的关系。利用等效模型和控制力谱，估算了LQR方法设计的ASC系统的最大控制力，并从理论上确定了合适的最大控制力、自然周期和阻尼比。本研究还开发了一种采用 ASC 的 PBI 结构设计方法，通过使用频谱来选择自然周期、被动阻尼器和最大控制力，无需反复试验和数值模拟。数值设计实例验证了该设计方法。
The combination of passive-base-isolated (PBI) and active structural control (ASC) has been employed in many buildings globally to improve control performance. Controllers are mainly designed using the linear-quadratic-regulator (LQR) method, which minimizes the response and control force by using their weights. While the estimation of the required control force is important to select an appropriate actuator to perform ASC, previous approaches utilized trial-and-error because the dependency of the maximum control force on the natural period and the passive damper has not been expressed theoretically. To solve this problem, this paper presents a spectrum, namely a control-force spectrum, to estimate the maximum control force while considering the combination of PBI and ASC. An equivalent model of an ASC system is derived to describe the relationship between the vibration characteristics and the LQR weighting matrices. Using the equivalent model and the control-force spectrum, the maximum control force of an ASC system designed by the LQR method is estimated, and the appropriate maximum control force, natural period, and damping ratio are theoretically determined. This study also develops a design method for PBI construction with ASC that selects the natural period, passive damper, and maximum control force by using spectra without requiring trial-and-error and numerical simulations. A numerical design example validates the design method.