FeedbackSector

FeedbackSector

is an option to NyquistPlot that specifies the sector limits of the nonlinearity in the feedback.

Details

  • FeedbackSector together with NyquistPlot can be used to analyze stability using the circle criterion.
  • FeedbackSector->{a,b} specifies a nonlinear feedback , where and is the input variable, is the output variable, and is the time variable.

Examples

Basic Examples  (1)

A stable system:

And its NyquistPlot lies within the circle for feedback in the sector {-4,50}:

Thus, the closed-loop system is stable for any feedback within sector {-4,50}:

Wolfram Research (2012), FeedbackSector, Wolfram Language function, https://reference.wolfram.com/language/ref/FeedbackSector.html.

Text

Wolfram Research (2012), FeedbackSector, Wolfram Language function, https://reference.wolfram.com/language/ref/FeedbackSector.html.

CMS

Wolfram Language. 2012. "FeedbackSector." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FeedbackSector.html.

APA

Wolfram Language. (2012). FeedbackSector. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FeedbackSector.html

BibTeX

@misc{reference.wolfram_2023_feedbacksector, author="Wolfram Research", title="{FeedbackSector}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/FeedbackSector.html}", note=[Accessed: 28-March-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_feedbacksector, organization={Wolfram Research}, title={FeedbackSector}, year={2012}, url={https://reference.wolfram.com/language/ref/FeedbackSector.html}, note=[Accessed: 28-March-2024 ]}