论文标题
双线性控制系统的结构插值
Structure-Preserving Interpolation of Bilinear Control Systems
论文作者
论文摘要
在本文中，我们将最初针对线性系统开发的结构性插值模型还原框架扩展到结构化双线性控制系统。具体而言，我们为模型降低基础提供明确的构造公式，以满足不同类型的插值条件。首先，我们为单输入单输出结构化双线性系统建立了传递函数插值的分析。然后，我们通过矩阵插值将这些结果扩展到多输入多输出结构双线性系统的情况。通过各种数值示例说明了我们结构保护方法的有效性。
In this paper, we extend the structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, we give explicit construction formulae for the model reduction bases to satisfy different types of interpolation conditions. First, we establish the analysis for transfer function interpolation for single-input single-output structured bilinear systems. Then, we extend these results to the case of multi-input multi-output structured bilinear systems by matrix interpolation. The effectiveness of our structure-preserving approach is illustrated by means of various numerical examples.
