Hypertracking and Hyperrejection: Control of Signals beyond the Nyquist Frequency
Hypertracking and Hyperrejection: Control of Signals beyond the Nyquist Frequency
复制标题
超跟踪和超抑制：对超出奈奎斯特频率的信号的控制
DOI：
10.1109/tac.2022.3230599
复制
发表时间：
2022
影响因子：
6.8
通讯作者：
Masaaki Nagahara
中科院分区：
文献类型：
--
作者：
Kaoru Yamamoto;Yamamoto Yamamoto;Masaaki Nagahara
本文研究了采样数据控制系统的信号跟踪和干扰抑制问题，其中相关信号可能存在于所谓的奈奎斯特频率之外。根据采样定理，人们通常认为，操纵奈奎斯特频率以外的信号要么是不可能的，要么至少是非常困难的。另一方面，这样的控制目标在实践中经常出现，对这样的信号的控制是非常需要的。本文考察了采样定理中的基本假设和相关的采样数据控制方案，并表明可以通过假设合适的模拟信号发生器模型来消除上述限制。详细分析了多速率闭环系统、零点和极点所产生的跟踪或抑制条件。充分表征了新方案的鲁棒性；结果表明，跟踪/拒绝频率与为获得更好的性能而引入的延迟长度之间存在密切关系。通过实例说明了所提方法的有效性。
This article studies the problem of signal tracking and disturbance rejection for sampled-data control systems, where the pertinent signals can reside beyond the so-called Nyquist frequency. In light of the sampling theorem, it is generally understood that manipulating signals beyond the Nyquist frequency is either impossible or at least very difficult. On the other hand, such control objectives often arise in practice, and control of such signals is much desired. This article examines the basic underlying assumptions in the sampling theorem and pertinent sampled-data control schemes and shows that the limitation above can be removed by assuming a suitable analog signal generator model. Detailed analysis of multirate closed-loop systems, zeros, and poles is given, which gives rise to tracking or rejection conditions. The robustness of the new scheme is fully characterized; it is shown that there is a close relationship between tracking/rejection frequencies and the delay length introduced for allowing better performance. Examples are discussed to illustrate the effectiveness of the proposed method here.