Technical Communique: Approximation of frequency response for sampled-data control systems

Technical Communique: Approximation of frequency response for sampled-data control systems
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技术公报:采样数据控制系统频率响应的近似值

DOI:
10.1016/s0005-1098(98)00206-4
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发表时间:
1999
期刊:
影响因子:
6.4
通讯作者:
B. Anderson
B. Anderson
中科院分区:
计算机科学2区
文献类型:
--
作者:
Y. Yamamoto;A. Madievski;B. Anderson

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本文证明了采样系统的快采样/快保持近似的频率响应增益随着采样速率的提高而收敛到原系统的频率响应增益。虽然这看起来似乎微不足道,但存在严重的技术困难,证明确实是重要的。还保证了这种收敛在整个频率范围上是均匀的。后一个属性是必要的,以保证一个单一的近似可以用于整个频率范围的频率响应计算。
This paper proves that the frequency response gains of fast-sample/fast-hold approximations of a sampled-data system converge to that of the original system as the sampling rate gets faster. While this may appear to hold trivially, there is a serious technical difficulty, and the proof is indeed nontrivial. It is also guaranteed that this convergence is uniform on the total frequency range. The latter property is necessary to guarantee that a single approximant can be used for frequency response computation for the overall frequency range.
DOI: 10.1109/9.286247
发表时间: 1994-04
期刊: IEEE Trans. Autom. Control.
影响因子: --
作者:
Y. Yamamoto
通讯作者: Y. Yamamoto