Frequency-domain performance analysis of intersample behavior in sampled-data and multirate systems is challenging due to the lack of a frequency-separation principle, and systematic identification techniques are lacking. The aim of this paper is to develop an efficient technique for identifying the full intersample performance in the frequency-domain for closed-loop multirate systems, in particular the Performance Frequency Gain (PFG). Through local modeling techniques, aliased frequency components are effectively disentangled when identifying the PFG, which is directly facilitated by frequency-lifting the multirate system to a multivariable time-invariant representation. The developed method accurately and directly identifies the PFG in a single identification experiment. Finally, the developed method is experimentally validated on a prototype motion system, showing accurate identification of frequency-domain representations for the multirate system, including the PFG.

中文翻译：

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多速率系统的性能分析：一种直接频域识别方法

由于缺乏频率分离原理，并且缺乏系统的识别技术，因此对采样数据和多速率系统中的样本间行为进行频域性能分析具有挑战性。本文的目的是开发一种有效的技术，用于识别闭环多速率系统在频域中的完整样本间性能，特别是性能频率增益 （PFG）。通过局部建模技术，在识别 PFG 时可以有效地解开混叠频率分量，这可以通过将多速率系统频率提升为多变量时间不变表示来直接实现。开发的方法在单次鉴定实验中准确、直接地鉴定 PFG。最后，在原型运动系统上对开发的方法进行了实验验证，显示了对包括 PFG 在内的多速率系统频域表示的准确识别。