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NyquistGridLines
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NyquistGridLines

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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

open allclose all

Basic Examples  (1)Summary of the most common use cases

Show the closed-loop magnitude and phase contours:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-1qy19w
Out[1]=1

Scope  (9)Survey of the scope of standard use cases

Choose contours automatically:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-9pigg6
Out[1]=1

Show the specified magnitude and phase contours:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-q5gjq1
Out[1]=1

Use different contour styles:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-7hxxzm
Out[1]=1

Specify different regions:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-o78srv
Out[1]=1

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

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-bgq12s
Out[1]=1

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

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-1estj5
Out[1]=1

The contours depend on the feedback type:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-m6pu35
Out[1]=1

The contours are shown only in the finite regions:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-wgjdlp
Out[1]=1

A discrete-time system:

In[1]:=1
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https://wolfram.com/xid/0do8verxjcz1hoppk-53nj4z
Out[1]=1

Applications  (1)Sample problems that can be solved with this function

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

In[2]:=2
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https://wolfram.com/xid/0do8verxjcz1hoppk-t3qsiu
Out[2]=2
Wolfram Research (2010), NyquistGridLines, Wolfram Language function, https://reference.wolfram.com/language/ref/NyquistGridLines.html.
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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.

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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.

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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

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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: 04-April-2025 ]}

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@misc{reference.wolfram_2025_nyquistgridlines, author="Wolfram Research", title="{NyquistGridLines}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/NyquistGridLines.html}", note=[Accessed: 04-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: 04-April-2025 ]}

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@online{reference.wolfram_2025_nyquistgridlines, organization={Wolfram Research}, title={NyquistGridLines}, year={2010}, url={https://reference.wolfram.com/language/ref/NyquistGridLines.html}, note=[Accessed: 04-April-2025 ]}