V2EX nichols chart

Nichols Chart

释义 Definition

Nichols chart(尼科尔斯图):控制工程中用于频率响应分析的图表,把开环频率响应的增益(以 dB 表示)相位(以度表示)绘在同一坐标系上,并常叠加闭环等值线,用来直观评估与设计反馈系统(如稳定裕度、闭环峰值等)。

发音 Pronunciation (IPA)

/nklz trt/

词源 Etymology

Nichols 来自人名,指美国工程师 Nathaniel B. Nichols。该图表源于他在 20 世纪中期提出的频域设计方法,因此以其姓氏命名;chart 意为“图表”。在控制系统课程与工程实践中,Nichols chart 常与 Bode 图、Nyquist 图并列为经典频域工具。

例句 Examples

The Nichols chart helps engineers check stability margins quickly.
尼科尔斯图能帮助工程师快速检查稳定裕度。

By plotting the loop transfer function on a Nichols chart, the designer can adjust compensator parameters to meet bandwidth and overshoot requirements while keeping adequate gain and phase margins.
把环路传递函数画在尼科尔斯图上,设计者可调整补偿器参数,在满足带宽与超调要求的同时保持足够的增益裕度和相位裕度。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Nathaniel B. Nichols,《The Use of Logarithmic Frequency Response Charts for Calculating Stability and Performance》(1947):提出并系统化使用 Nichols 图进行稳定性与性能评估的方法。
  • Katsuhiko Ogata,《Modern Control Engineering》:在频域设计章节讨论 Nichols 图及其与稳定裕度、闭环特性的关系。
  • Richard C. Dorf & Robert H. Bishop,《Modern Control Systems》:在经典频域分析工具中介绍 Nichols 图的用途与解读方式。
  • Gene F. Franklin, J. David Powell, Abbas Emami-Naeini,《Feedback Control of Dynamic Systems》:将 Nichols 图作为反馈设计与裕度分析的常用图形工具之一。
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