NicholsGridLines

NicholsGridLines

is an option to NicholsPlot that specifies contours of constant magnitude and constant phase of the 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
  • The magnitude values are the absolute values.
  • The phase values are 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 style of a magnitude contour is Dashed, and the default style of a phase contour is Dotted.
  • The setting ri specifies that a point should be included if ri[x,y,ci] yields True.
  • The default value of ri is Automatic.

Examples

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Basic Examples  (1)

Show the closed-loop magnitude and phase contours:

Scope  (8)

Choose contours automatically:

Show specific magnitude and phase contours:

Use different contour styles:

Specify different regions:

Magnitude contours with specific dB values:

Specify contours with phase from -70 to 70 degrees in increments of 5:

The contours depend on the type of feedback:

A discrete-time system:

Applications  (1)

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

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2024_nicholsgridlines, author="Wolfram Research", title="{NicholsGridLines}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/NicholsGridLines.html}", note=[Accessed: 21-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_nicholsgridlines, organization={Wolfram Research}, title={NicholsGridLines}, year={2010}, url={https://reference.wolfram.com/language/ref/NicholsGridLines.html}, note=[Accessed: 21-November-2024 ]}