Convenient representations of structured systems for model order reduction
Convenient representations of structured systems for model order reduction
复制标题
用于模型降阶的结构化系统的便捷表示
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
A. Rantzer
中科院分区：
文献类型：
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作者：
Aivar Sootla;A. Rantzer
在控制理论中，模型有两种方便的表示方法，即传递函数和状态空间矩阵。然而，在状态空间形式中不能清楚地看到传递函数中的结构，另一方面，在传递函数中不能清楚地看到状态空间形式中的结构。其主要原因是拉普拉斯变换破坏了大多数类型的结构。本文的目的是介绍这样的表示，清楚地反映在频域和时域的结构。这种表示是通过引入辅助信号来获得的，这些辅助信号定义了结构内的相互作用。辅助信号降低了输入-输出映射的抽象级别，从而提供了对系统物理特性的洞察。
In control theory there exist two convenient representations of a model, which are transfer functions and state-space matrices. However, structure in the transfer functions is not clearly seen in the state-space form, and on the other hand structure in the state-space form is not clearly seen in the transfer functions. The main reason for this is that Laplace transformation destroys most types of structures. The goal of this paper was introducing such representations that clearly reflect structure in both frequency and time domain. Such representations are obtained by introducing auxiliary signals which define the interactions within the structure. The auxiliary signals lower level of abstraction of input-output mappings, thus providing an insight into physical properties of a system.