论文标题
在数据驱动的模型降低和控制中
Amidst data-driven model reduction and control
论文作者
论文摘要
在本说明中，我们探索了数据驱动的模型减少和数据驱动控制之间的中间立场。特别是，我们使用从系统收集的快照来构建可以用数据表示的减少模型。我们说明了如何在适当条件下使用衍生的还原模型系列来对原始系统的数据驱动。详细研究了稳定原始系统的某些解决方案的控制法，并详细研究了最终达到任何所需状态的解决方案。
In this note, we explore a middle ground between data-driven model reduction and data-driven control. In particular, we use snapshots collected from the system to build reduced models that can be expressed in terms of data. We illustrate how the derived family of reduced models can be used for data-driven control of the original system under suitable conditions. Finding a control law that stabilizes certain solutions of the original system as well as the one that reaches any desired state in final time are studied in detail.
