The Wolfram Language provides a full suite of tools needed for the classical analysis and design of control systems, leveraging the Wolfram Language'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.

RootLocusPlot — plot root locations as a parameter varies

PoleZeroPlot — plot poles and zeros on the complex plane

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

PIDFeedforward  ▪  PIDDerivativeFilter

Options

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