A numerical algorithm for the optimal placement of actuators and sensors for flexible structures
A numerical algorithm for the optimal placement of actuators and sensors for flexible structures
复制标题
用于柔性结构执行器和传感器最佳放置的数值算法
DOI：
10.1109/acc.2000.878588
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
M. Demetriou
中科院分区：
文献类型：
--
作者：
M. Demetriou
本研究的目的是提出一种在描述柔性结构动力学的系统中获得致动器和传感器的最佳位置的方法。首先，通过最小化适当选择的（控制）性能指标，得到由未知执行器位置参数化的最优状态反馈增益。然后根据（空间）位置对二次代价的最优值进行最小化，以获得执行器的最优位置。部分测量的结合，将传感器位置引入到控制问题中，以类似的方式实现传感器位置，即通过最小化动态补偿器指数相对于位置的最优值。给出了数值算例和仿真结果来支持这一研究。
The objective of this investigation is to present a methodology for obtaining the optimal location of actuators and sensors in systems which describe the dynamics of flexible structures. First an optimal state feedback gain, parametrized by the unknown actuator locations, is found by minimizing an appropriately chosen (control) performance index. Minimization of the optimal value of the quadratic cost is then performed with respect to (spatial) locations in order to obtain the optimal actuator location. The incorporation of partial measurements, which introduces the sensor location(s) into the control problem, achieves the sensor location in a similar fashion, namely by minimizing the optimal value of a dynamic compensator index with respect to locations. Numerical examples with simulation results are presented to support this investigation.