基于插值的非理性模型控制设计及稳定性分析
Interpolation-based irrational model control design and stability analysis
摘要：
数据驱动近似插值方法，最初解决模型近似的目的，说明了在线性控制器设计和非理性模型的稳定性分析的背景下的多功能性。为了这个目的，以下一个学术驱动的例子描述的线性偏微分方程，它是如何基于Loewner插值可能是一个必不可少的成分控制设计和稳定性分析。更具体地说，插值框架首先被用来近似的理性模型，可以用于基于模型的控制，其次，它被用于直接的数据驱动的控制设计，显示等效的结果。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。
英文摘要：
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.
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