基于可控度指标的悬索结构传感器/作动器位置优化研究

提出一种大跨悬索结构振动主动控制中传感器/作动器位置优化方法。该方法从外部激励和作动力两个角度分析,以加权乘积形式将单位外激励响应、应变能和单位作动力响应三者结合,得到每一个候选单元总可控度指标,该指标最大值处即为传感器/作动器最佳配制位置。采用所提出理论对悬索结构振动主动控制传感器/作动器位置进行推导,并通过H∞闭环控制理论对所设计最佳位置和一般位置处进行控制仿真分析。结果表明:在单位外激励作用下,一般位置和最佳位置处进行主动控制所需时间分别为4.3s和1.8s,证明了本文位置优化理论的正确性。

Study on Optimization of Sensors-Actuators Position in Cable Structures Based on Controllable Index

The method for optimizing the positions of sensors-actuators in active vibration control of large-span cable structures was proposed.By analyzing from the angle of both external exciting forces and actuating forces and combining external exciting responses,strain energy and actuating responses in the form of weighted products,the total controllable indexes of all candidate units were got.The positions corresponding to the maximum controllable index is the optimal positions to allocate the sensors-actuators.By the proposed theory the position of sensors-actuators in active vibration control of cable structures were derived.Applying the H∞ closed loop control theory,simulation was carried out for control at the designed optimal and general positions.The results show that under external excitation the required time to implement active control at general and optimal positions are respectively 4.3 s and 1.8 s.This proves the correctness of the proposed position optimization method.