Abstract

An approach for synthesizing a control function for lumped sources in distributed feedback systems is proposed. The problem of membrane vibration suppression by point stabilizers is considered as an example. The parameters to be optimized in the problem are (1) the locations of the stabilizers, (2) the locations of the points of membrane state measurements, and (3) linear feedback parameters determining the dependence between the membrane state measurements and the stabilizer operation modes. Formulas for computing the gradient of the cost functional with respect to the optimization parameters are derived. Computer experiments are performed using first-order numerical optimization methods, and the influence exerted by measurement errors on the process of membrane stabilization is analyzed.

中文翻译：

---

通过传感器和振动抑制器位置的优化来合成用于膜稳定的局部集总控制。

摘要

提出了一种用于合成分布式反馈系统中集总源控制功能的方法。以点稳定剂抑制膜振动的问题为例。在此问题中要优化的参数是（1）稳定器的位置，（2）膜状态测量的点的位置，以及（3）线性反馈参数，确定膜状态测量与稳定器操作之间的依赖性模式。得出用于计算成本函数相对于优化参数的梯度的公式。使用一阶数值优化方法进行计算机实验，并分析了测量误差对膜稳定过程的影响。