论文标题
从嘈杂的数据到反馈控制器：通过矩阵S-lemma的非保守设计
From noisy data to feedback controllers: non-conservative design via a matrix S-lemma
论文作者
论文摘要
我们提出了一种新方法，以直接从嘈杂的输入/状态数据中获得未知动力学系统的反馈控制器。我们设计的关键要素是一种新的矩阵S-lemma，在本文中将得到证明。我们提供此S-Lemma的严格和非图案版本，这些版本本身就是感兴趣的。此后，我们将将这些结果应用于数据驱动的控制。特别是，我们将在基于数据的线性矩阵不平等方面得出非保守设计方法，用于二次稳定，H_2和H_INF控制。与以前的工作相反，我们的决策变量的维度与实验的时间范围无关。因此，我们的方法可以从大型数据集中获得控制设计。
We propose a new method to obtain feedback controllers of an unknown dynamical system directly from noisy input/state data. The key ingredient of our design is a new matrix S-lemma that will be proven in this paper. We provide both strict and non-strict versions of this S-lemma, that are of interest in their own right. Thereafter, we will apply these results to data-driven control. In particular, we will derive non-conservative design methods for quadratic stabilization, H_2 and H_inf control, all in terms of data-based linear matrix inequalities. In contrast to previous work, the dimensions of our decision variables are independent of the time horizon of the experiment. Our approach thus enables control design from large data sets.
