具有可调参数的模型降阶新方法
A Novel Method of Model Reduction with Adjustable Parameters
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摘要: 本文提出了一种具有可调参数的模型简化新方法.此法从系统动态特性上揭示了简化模 型与原系统之间"类等效"的对应关系.由对系统主要频率响应数据的拟合(或最优化方法)确 定参数.降阶模型不仅保持高阶系统的稳态特性(低频特性)和稳定性,还能按设计者需要有 选择地保持原系统的其它主要性能(例如带宽、相对稳定性等)、保持其它任意频段的特性.最 后,文章给出实例.Abstract: This paper presents a novel method with adjustable parameters for the reduction of high order linear time invariant dynamic system. The method emphasizes the "quasiequivalent" relation between the reduced order model and the prototype from the dynamic characteristics view of the systems. The desirable values of the adjustable parameters are selected closely to approximate the dominant frequency response data of the prototype system. The approximants not only can retain steady state characteristics and stability, but also can selectively retain other dominant performance specifications of the prototype system (such as bandwidth and relative stability) and other characteristics over a desired frequency range. Finally, it is shown by examples that this method has established a relation between the theory of model reduction and the design of control systems.
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