论文标题
一类二阶索引-1描述符系统的切向插值预测以及对机电的应用
Tangential interpolatory projections for a class of second-order index-1 descriptor systems and application to Mechatronics
论文作者
论文摘要
本文使用基于迭代有理Krylov算法（IRKA）的切向插值投影方法研究了二阶索引1描述符系统的模型顺序。我们的主要重点是将系统减少为二阶形式，以便可以保留原始系统的结构。为此，对基于IRKA的切向切换方法进行了修改，以有效地以隐式方式处理基础描述符系统的二阶结构。本文还表明，通过利用系统的对称属性，可以大大降低实施计算成本。验证了基于压电执行器的自适应纺锤体支持的模型减少模型，该模型是二阶Index-1差分 - 偏格形式。通过分析数值结果来证明该方法的效率和准确性。
This paper studies the model order reduction of second-order index-1 descriptor systems using a tangential interpolation projection method based on the Iterative Rational Krylov Algorithm (IRKA). Our primary focus is to reduce the system into a second-order form so that the structure of the original system can be preserved. For this purpose, the IRKA based tangential interpolatory method is modified to deal with the second-order structure of the underlying descriptor system efficiently in an implicit way. The paper also shows that by exploiting the symmetric properties of the system the implementing computational costs can be reduced significantly. Theoretical results are verified for the model reduction of the piezo actuator based adaptive spindle support which is second-order index-1 differential-algebraic form. The efficiency and accuracy of the method are demonstrated by analyzing the numerical results.
