Mathematica > Mathematics and Algorithms > Control Systems > Classical Analysis and Design
MATHEMATICA GUIDE

Classical Analysis and Design

Mathematica provides a full suite of tools needed for the classical analysis and design of control systems, leveraging Mathematica's hybrid symbolic-numeric arithmetic capabilities as well as high-quality visualization methods. Built-in frequency response analysis tools include Bode, Nyquist, and Nichols plots, as well as singular-value visualization.

ReferenceReference

RootLocusPlot — plot root locations as a parameter varies

Frequency Responses

BodePlot — magnitude and phase plots of the frequency response

NyquistPlot — polar plot of the frequency response

NicholsPlot — magnitude vs. phase plot of the frequency response

GainPhaseMargins — compute gain and phase margins

GainMargins ▪ PhaseMargins

SingularValuePlot — plot singular values of the frequency response

PID Tuning

PIDTune — automatic PID tuning for any linear system

PIDData ▪ PIDFeedforward ▪ PIDDerivativeFilter

Options

FeedbackType ▪ NicholsGridLines ▪ NyquistGridLines ▪ StabilityMargins ▪ StabilityMarginsStyle ▪ PlotLayout ▪ PoleZeroMarkers ▪ FeedbackSector ▪ FeedbackSectorStyle

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