V2EX phase-margin

Phase-Margin

Definition / 定义

相位裕度:控制系统稳定性指标之一,指在开环频率响应的增益交越频率(幅值为 1,即 0 dB)处,系统相位距离 180° 还差多少角度。相位裕度越大,通常表示闭环系统越不易振荡、鲁棒性更好。(也常写作 phase margin,不加连字符。)

Pronunciation / 发音

/fez mrdn/

Examples / 例句

The phase margin is 60 degrees.
相位裕度是 60 度。

After tuning the controller, the phase margin increased, making the system less sensitive to uncertainty and delays.
在调整控制器后,相位裕度提高了,使系统对不确定性和延迟更不敏感。

Etymology / 词源

phase(相位)+ margin(裕度/余量)构成,字面意思是“相位的余量”。该术语在经典控制理论中用于描述频域稳定性:在波特图(Bode plot)或奈奎斯特分析(Nyquist)框架下,用“离 180° 还差多少”的方式衡量系统的稳定安全余度。

Related Words / 相关词

Literary Works / 文学与著作例证

  • Feedback Control of Dynamic Systems(Franklin, Powell, Emami-Naeini)
  • Modern Control Engineering(Katsuhiko Ogata)
  • Control Systems Engineering(Norman S. Nise)
  • Automatic Control Systems(Kuo; 后续版本含 Golnaraghi)
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