论文标题
基于插值的非理性模型控制设计和稳定性分析
Interpolation-based irrational model control design and stability analysis
论文作者
论文摘要
在线性控制器的设计和非理性模型的稳定性分析的背景下，说明了通过插值方法驱动数据驱动近似的多功能性。为此，按照线性偏微分方程描述的学术驾驶示例，它显示了基于Loewner的插值如何可能是控制设计和稳定性分析的重要组成部分。更具体地说，首先使用插值框架来通过一个可用于基于模型的控制的理性模型近似于非理性模型，其次，它用于直接数据驱动的控制设计，显示出等效的结果。最后，该插值框架用于估计非理性模型与理性控制器的互连的稳定性。
The versatility of data-driven approximation by interpolatory methods, originally settled for model approximation purpose, is illustrated in the context of linear controller design and stability analysis of irrational models. To this aim, following an academic driving example described by a linear partial differential equation, it is shown how the Loewner-based interpolation may be an essential ingredient for control design and stability analysis. More specifically, the interpolatory framework is first used to approximate the irrational model by a rational one that can be used for model-based control, and secondly, it is used for direct data-driven control design, showing equivalent results. Finally, this interpolation framework is employed for estimating the stability of the interconnection of the irrational model with a rational controller.
