NyquistGridLines

NyquistGridLines

is an option to NyquistPlot that specifies contours of constant magnitude and phase of a closed-loop system.

Details

  • The following settings can be given:
  • Noneno contours drawn
    Automaticcontours chosen automatically
    {magnitude,phase}contours specified by magnitude and phase are drawn
  • magnitude values are the absolute values.
  • phase values are given in radians.
  • The following settings can be given for magnitude and phase:
  • Noneno contours drawn
    Automaticcontours chosen automatically
    {c1,c2,…}draw the contours ci
    {{c1,style1,r1},…}contours with specified styles and regions
  • The default setting for stylei is Dashed for magnitude contours and Dotted for phase contours.
  • The setting specifies that a point should be included if yields True.
  • The default value of is True&.

Examples

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Basic Examples  (1)

Show the closed-loop magnitude and phase contours:

Scope  (9)

Choose contours automatically:

Show the specified magnitude and phase contours:

Use different contour styles:

Specify different regions:

Specify contours with magnitude -12 dB, -13 dB, -15 dB, and -18 dB:

Specify contours with phase from -60 to 60 degrees in increments of 10:

The contours depend on the feedback type:

The contours are shown only in the finite regions:

A discrete-time system:

Applications  (1)

Estimate closed-loop magnitude and phase values at various frequencies:

Wolfram Research (2010), NyquistGridLines, Wolfram Language function, https://reference.wolfram.com/language/ref/NyquistGridLines.html.

Text

Wolfram Research (2010), NyquistGridLines, Wolfram Language function, https://reference.wolfram.com/language/ref/NyquistGridLines.html.

CMS

Wolfram Language. 2010. "NyquistGridLines." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NyquistGridLines.html.

APA

Wolfram Language. (2010). NyquistGridLines. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NyquistGridLines.html

BibTeX

@misc{reference.wolfram_2025_nyquistgridlines, author="Wolfram Research", title="{NyquistGridLines}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/NyquistGridLines.html}", note=[Accessed: 03-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_nyquistgridlines, organization={Wolfram Research}, title={NyquistGridLines}, year={2010}, url={https://reference.wolfram.com/language/ref/NyquistGridLines.html}, note=[Accessed: 03-April-2025 ]}