论文标题
在Loewner框架中近似柔性光束模型
Approximating a flexible beam model in the Loewner framework
论文作者
论文摘要
该论文开发了Loewner方法，用于基于数据的线性分布式参数系统的建模。该方法应用于连接的受控柔性梁模型，并使用弹簧质量系统。原始的动力系统由Euler-Bernoulli部分微分方程与界面条件的euler-Bernoulli偏微分方程描述，这是由于集总部分的振荡。该模型的传输函数是分析计算的，然后将其采样值用于还原模型的数据驱动设计。相应的输入输出图的近似实现家族是在Loewner框架内构建的。结果表明，所提出的有限维近似能够在给定的观察频率范围内捕获原始动力学的关键特性。还研究了该方法对嘈杂数据的鲁棒性。
The paper develops the Loewner approach for data-based modeling of a linear distributed-parameter system. This approach is applied to a controlled flexible beam model coupled with a spring-mass system. The original dynamical system is described by the Euler-Bernoulli partial differential equation with the interface conditions due to the oscillations of the lumped part. The transfer function of this model is computed analytically, and its sampled values are then used for the data-driven design of a reduced model. A family of approximate realizations of the corresponding input-output map is constructed within the Loewner framework. It is shown that the proposed finite-dimensional approximations are able to capture the key properties of the original dynamics over a given range of observed frequencies. The robustness of the method to noisy data is also investigated.
