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Alphabetical List
By Category

`tf` |
Create transfer function model, convert to transfer function model |

`zpk` |
Create zero-pole-gain model; convert to zero-pole-gain model |

`ss` |
Create state-space model, convert to state-space model |

`frd` |
Create frequency-response data model, convert to frequency-response data model |

`filt` |
Specify discrete transfer functions in DSP format |

`dss` |
Create descriptor state-space models |

`pid` |
Create PID controller in parallel form, convert to parallel-form PID controller |

`pidstd` |
Create a PID controller in standard form, convert to standard-form PID controller |

`pid2` |
Create 2-DOF PID controller in parallel form, convert to parallel-form 2-DOF PID controller |

`pidstd2` |
Create 2-DOF PID controller in standard form, convert to standard-form 2-DOF PID controller |

`rss` |
Generate random continuous test model |

`drss` |
Generate random discrete test model |

`tunableGain` |
Tunable static gain block |

`tunablePID` |
Tunable PID controller |

`tunablePID2` |
Tunable two-degree-of-freedom PID controller |

`tunableSS` |
Tunable fixed-order state-space model |

`tunableTF` |
Tunable transfer function with fixed number of poles and zeros |

`realp` |
Real tunable parameter |

`AnalysisPoint` |
Points of interest for linear analysis |

`genss` |
Generalized state-space model |

`genfrd` |
Generalized frequency response data (FRD) model |

`genmat` |
Generalized matrix with tunable parameters |

`getLoopTransfer` |
Open-loop transfer function of control system |

`getIOTransfer` |
Closed-loop transfer function from generalized model of control system |

`getSensitivity` |
Sensitivity function from generalized model of control system |

`getCompSensitivity` |
Complementary sensitivity function from generalized model of control system |

`getPoints` |
Get list of analysis points in generalized model of control system |

`replaceBlock` |
Replace or update Control Design Blocks in Generalized LTI model |

`sampleBlock` |
Sample Control Design blocks in generalized model |

`rsampleBlock` |
Randomly sample Control Design blocks in generalized model |

`getValue` |
Current value of Generalized Model |

`setValue` |
Modify current value of Control Design Block |

`getBlockValue` |
Current value of Control Design Block in Generalized Model |

`setBlockValue` |
Modify value of Control Design Block in Generalized Model |

`showBlockValue` |
Display current value of Control Design Blocks in Generalized Model |

`showTunable` |
Display current value of tunable Control Design Blocks in Generalized Model |

`nblocks` |
Number of blocks in Generalized matrix or Generalized LTI model |

`getLFTModel` |
Decompose generalized LTI model |

`pade` |
Padé approximation of model with time delays |

`absorbDelay` |
Replace time delays by poles at z = 0 or phase shift |

`thiran` |
Generate fractional delay filter based on Thiran approximation |

`hasdelay` |
True for linear model with time delays |

`hasInternalDelay` |
Determine if model has internal delays |

`totaldelay` |
Total combined I/O delays for LTI model |

`delayss` |
Create state-space models with delayed inputs, outputs, and states |

`setDelayModel` |
Construct state-space model with internal delays |

`getDelayModel` |
State-space representation of internal delays |

`get` |
Access model property values |

`set` |
Set or modify model properties |

`tfdata` |
Access transfer function data |

`zpkdata` |
Access zero-pole-gain data |

`ssdata` |
Access state-space model data |

`frdata` |
Access data for frequency response data (FRD) object |

`piddata` |
Access coefficients of parallel-form PID controller |

`pidstddata` |
Access coefficients of standard-form PID controller |

`piddata2` |
Access coefficients of parallel-form 2-DOF PID controller |

`pidstddata2` |
Access coefficients of standard-form 2-DOF PID controller |

`dssdata` |
Extract descriptor state-space data |

`chgFreqUnit` |
Change frequency units of frequency-response data model |

`chgTimeUnit` |
Change time units of dynamic system |

`isct` |
Determine if dynamic system model is in continuous time |

`isdt` |
Determine if dynamic system model is in discrete time |

`isempty` |
Determine whether dynamic system model is empty |

`isfinite` |
Determine if model has finite coefficients |

`isParametric` |
Determine if model has tunable parameters |

`isproper` |
Determine if dynamic system model is proper |

`isreal` |
Determine if model has real-valued coefficients |

`issiso` |
Determine if dynamic system model is single-input/single-output (SISO) |

`isstable` |
Determine whether system is stable |

`isstatic` |
Determine if model is static or dynamic |

`order` |
Query model order |

`ndims` |
Query number of dimensions of dynamic system model or model array |

`size` |
Query output/input/array dimensions of input–output model and number of frequencies of FRD model |

`stack` |
Build model array by stacking models or model arrays along array dimensions |

`nmodels` |
Number of models in model array |

`permute` |
Rearrange array dimensions in model arrays |

`reshape` |
Change shape of model array |

`repsys` |
Replicate and tile models |

`sampleBlock` |
Sample Control Design blocks in generalized model |

`rsampleBlock` |
Randomly sample Control Design blocks in generalized model |

`feedback` |
Feedback connection of two models |

`connect` |
Block diagram interconnections of dynamic systems |

`sumblk` |
Summing junction for name-based interconnections |

`series` |
Series connection of two models |

`parallel` |
Parallel connection of two models |

`append` |
Group models by appending their inputs and outputs |

`blkdiag` |
Block-diagonal concatenation of models |

`imp2exp` |
Convert implicit linear relationship to explicit input-output relation |

`inv` |
Invert models |

`lft` |
Generalized feedback interconnection of two models (Redheffer star product) |

`connectOptions` |
Options for the connect command |

`tf` |
Create transfer function model, convert to transfer function model |

`zpk` |
Create zero-pole-gain model; convert to zero-pole-gain model |

`ss` |
Create state-space model, convert to state-space model |

`frd` |
Create frequency-response data model, convert to frequency-response data model |

`pid` |
Create PID controller in parallel form, convert to parallel-form PID controller |

`pidstd` |
Create a PID controller in standard form, convert to standard-form PID controller |

`pid2` |
Create 2-DOF PID controller in parallel form, convert to parallel-form 2-DOF PID controller |

`pidstd2` |
Create 2-DOF PID controller in standard form, convert to standard-form 2-DOF PID controller |

`make1DOF` |
Convert 2-DOF PID controller to 1-DOF controller |

`make2DOF` |
Convert 1-DOF PID controller to 2-DOF controller |

`getComponents` |
Extract SISO control components from a 2-DOF PID controller |

`c2d` |
Convert model from continuous to discrete time |

`d2c` |
Convert model from discrete to continuous time |

`d2d` |
Resample discrete-time model |

`upsample` |
Upsample discrete-time models |

`c2dOptions` |
Create option set for continuous- to discrete-time conversions |

`d2cOptions` |
Create option set for discrete- to continuous-time conversions |

`d2dOptions` |
Create option set for discrete-time resampling |

`modsep` |
Region-based modal decomposition |

`stabsep` |
Stable-unstable decomposition |

`stabsepOptions` |
Options for stable-unstable decomposition |

`freqsep` |
Slow-fast decomposition |

`freqsepOptions` |
Options for slow-fast decomposition |

`spectralfact` |
Spectral factorization of linear systems |

`balred` |
Model order reduction |

`balredOptions` |
Create option set for model order reduction |

`balreal` |
Gramian-based input/output balancing of state-space realizations |

`minreal` |
Minimal realization or pole-zero cancelation |

`sminreal` |
Structural pole/zero cancellations |

`modred` |
Eliminate states from state-space models |

`freqsep` |
Slow-fast decomposition |

`freqsepOptions` |
Options for slow-fast decomposition |

`hsvd` |
Hankel singular values of dynamic system |

`hsvplot` |
Plot Hankel singular values and return plot handle |

`hsvdOptions` |
Create option set for computing Hankel singular values and input/output balancing |

`step` |
Step response plot of dynamic system; step response data |

`stepinfo` |
Rise time, settling time, and other step response characteristics |

`impulse` |
Impulse response plot of dynamic system; impulse response data |

`initial` |
Initial condition response of state-space model |

`lsim` |
Simulate time response of dynamic system to arbitrary inputs |

`lsiminfo` |
Compute linear response characteristics |

`gensig` |
Generate test input signals for lsim |

`covar` |
Output and state covariance of system driven by white noise |

`stepDataOptions` |
Options set for step |

`bode` |
Bode plot of frequency response, or magnitude and phase data |

`bodemag` |
Bode magnitude response of LTI models |

`nyquist` |
Nyquist plot of frequency response |

`nichols` |
Nichols chart of frequency response |

`ngrid` |
Superimpose Nichols chart on Nichols plot |

`sigma` |
Singular values plot of dynamic system |

`freqresp` |
Frequency response over grid |

`evalfr` |
Evaluate frequency response at given frequency |

`dcgain` |
Low-frequency (DC) gain of LTI system |

`bandwidth` |
Frequency response bandwidth |

`getPeakGain` |
Peak gain of dynamic system frequency response |

`getGainCrossover` |
Crossover frequencies for specified gain |

`fnorm` |
Pointwise peak gain of FRD model |

`norm` |
Norm of linear model |

`db2mag` |
Convert decibels (dB) to magnitude |

`mag2db` |
Convert magnitude to decibels (dB) |

`pole` |
Compute poles of dynamic system |

`zero` |
Zeros and gain of SISO dynamic system |

`damp` |
Natural frequency and damping ratio |

`dsort` |
Sort discrete-time poles by magnitude |

`esort` |
Sort continuous-time poles by real part |

`tzero` |
Invariant zeros of linear system |

`pzplot` |
Pole-zero map of dynamic system model with plot customization options |

`iopzplot` |
Plot pole-zero map for I/O pairs and return plot handle |

`allmargin` |
Gain margin, phase margin, delay margin and crossover frequencies |

`margin` |
Gain margin, phase margin, and crossover frequencies |

`sampleBlock` |
Sample Control Design blocks in generalized model |

`rsampleBlock` |
Randomly sample Control Design blocks in generalized model |

`isPassive` |
Check passivity of linear systems |

`getPassiveIndex` |
Compute passivity index of linear system |

`passiveplot` |
Compute or plot passivity index as function of frequency |

`getSectorIndex` |
Compute conic-sector index of linear system |

`getSectorCrossover` |
Crossover frequencies for sector bound |

`sectorplot` |
Compute or plot sector index as function of frequency |

`impulseplot` |
Plot impulse response and return plot handle |

`initialplot` |
Plot initial condition response and return plot handle |

`lsimplot` |
Simulate response of dynamic system to arbitrary inputs and return plot handle |

`stepplot` |
Plot step response and return plot handle |

`bodeplot` |
Plot Bode frequency response with additional plot customization options |

`nicholsplot` |
Plot Nichols frequency responses and return plot handle |

`nyquistplot` |
Nyquist plot with additional plot customization options |

`sigmaplot` |
Plot singular values of frequency response and return plot handle |

`bodeoptions` |
Create list of Bode plot options |

`hsvoptions` |
Plot options for hsvplot |

`nicholsoptions` |
Create list of Nichols plot options |

`nyquistoptions` |
List of Nyquist plot options |

`pzoptions` |
Create list of pole/zero plot options |

`sigmaoptions` |
Create list of singular-value plot options |

`timeoptions` |
Create list of time plot options |

`setoptions` |
Set plot options for response plot |

`getoptions` |
Return @PlotOptions handle or plot options property |

`ctrlpref` |
Set Control System Toolbox preferences |

`updateSystem` |
Update dynamic system data in a response plot |

`pidTuner` |
Open PID Tuner for PID tuning |

`pidtune` |
PID tuning algorithm for linear plant model |

`pidtuneOptions` |
Define options for pidtune command |

`rlocus` |
Root locus plot of dynamic system |

`rlocusplot` |
Plot root locus and return plot handle |

`sisoinit` |
Configure Control System Designer at startup |

`lqr` |
Linear-Quadratic Regulator (LQR) design |

`lqry` |
Form linear-quadratic (LQ) state-feedback regulator with output weighting |

`lqi` |
Linear-Quadratic-Integral control |

`dlqr` |
Linear-quadratic (LQ) state-feedback regulator for discrete-time state-space system |

`lqrd` |
Design discrete linear-quadratic (LQ) regulator for continuous plant |

`lqg` |
Linear-Quadratic-Gaussian (LQG) design |

`lqgreg` |
Form linear-quadratic-Gaussian (LQG) regulator |

`lqgtrack` |
Form Linear-Quadratic-Gaussian (LQG) servo controller |

`augstate` |
Append state vector to output vector |

`norm` |
Norm of linear model |

`estim` |
Form state estimator given estimator gain |

`place` |
Pole placement design |

`reg` |
Form regulator given state-feedback and estimator gains |

`kalman` |
Kalman filter design, Kalman estimator |

`kalmd` |
Design discrete Kalman estimator for continuous plant |

`estim` |
Form state estimator given estimator gain |

`extendedKalmanFilter` |
Create extended Kalman filter object for online state estimation |

`unscentedKalmanFilter` |
Create unscented Kalman filter object for online state estimation |

`correct` |
Correct state and state estimation error covariance using extended or unscented Kalman filter and measurements |

`predict` |
Predict state and state estimation error covariance at next time step using extended or unscented Kalman filter |

`clone` |
Copy online state estimation object |

`slTuner` |
Interface for control system tuning of Simulink models |

`slTunerOptions` |
Set slTuner interface options |

`addBlock` |
Add block to list of tuned blocks for slTuner interface |

`addOpening` |
Add signal to list of openings for slLinearizer or slTuner interface |

`addPoint` |
Add signal to list of analysis points for slLinearizer or slTuner interface |

`refresh` |
Resynchronize slLinearizer or slTuner interface with current model state |

`removeAllOpenings` |
Remove all openings from list of permanent openings in slLinearizer or slTuner interface |

`removeAllPoints` |
Remove all points from list of analysis points in slLinearizer or slTuner interface |

`removeBlock` |
Remove block from list of tuned blocks in slTuner interface |

`removeOpening` |
Remove opening from list of permanent loop openings in slLinearizer or slTuner interface |

`removePoint` |
Remove point from list of analysis points in slLinearizer or slTuner interface |

`setBlockParam` |
Set parameterization of tuned block in slTuner interface |

`setBlockRateConversion` |
Set rate conversion settings for tuned block in slTuner interface |

`setBlockValue` |
Set value of tuned block parameterization in slTuner interface |

`writeBlockValue` |
Update block values in Simulink model |

`getBlockParam` |
Get parameterization of tuned block in slTuner interface |

`getBlockRateConversion` |
Get rate conversion settings for tuned block in slTuner interface |

`getBlockValue` |
Get current value of tuned block parameterization in slTuner interface |

`getOpenings` |
Get list of openings for slLinearizer or slTuner interface |

`getPoints` |
Get list of analysis points for slLinearizer or slTuner interface |

`showTunable` |
Show value of parameterizations of tunable blocks of slTuner interface |

`tf` |
Create transfer function model, convert to transfer function model |

`zpk` |
Create zero-pole-gain model; convert to zero-pole-gain model |

`ss` |
Create state-space model, convert to state-space model |

`tunableGain` |
Tunable static gain block |

`tunableTF` |
Tunable transfer function with fixed number of poles and zeros |

`tunablePID` |
Tunable PID controller |

`tunablePID2` |
Tunable two-degree-of-freedom PID controller |

`tunableSS` |
Tunable fixed-order state-space model |

`realp` |
Real tunable parameter |

`AnalysisPoint` |
Points of interest for linear analysis |

`connect` |
Block diagram interconnections of dynamic systems |

`feedback` |
Feedback connection of two models |

`TuningGoal.StepTracking` |
Step response requirement for control system tuning |

`TuningGoal.StepRejection` |
Step disturbance rejection requirement for control system tuning |

`TuningGoal.Transient` |
Transient matching requirement for control system tuning |

`TuningGoal.LQG` |
Linear-Quadratic-Gaussian (LQG) goal for control system tuning |

`TuningGoal.Gain` |
Gain constraint for control system tuning |

`TuningGoal.Variance` |
Noise amplification constraint for control system tuning |

`TuningGoal.Tracking` |
Tracking requirement for control system tuning |

`TuningGoal.Overshoot` |
Overshoot constraint for control system tuning |

`TuningGoal.Rejection` |
Disturbance rejection requirement for control system tuning |

`TuningGoal.Sensitivity` |
Sensitivity requirement for control system tuning |

`TuningGoal.WeightedGain` |
Frequency-weighted gain constraint for control system tuning |

`TuningGoal.WeightedVariance` |
Frequency-weighted H2 norm constraint for control system tuning |

`TuningGoal.MinLoopGain` |
Minimum loop gain constraint for control system tuning |

`TuningGoal.MaxLoopGain` |
Maximum loop gain constraint for control system tuning |

`TuningGoal.LoopShape` |
Target loop shape for control system tuning |

`TuningGoal.Margins` |
Stability margin requirement for control system tuning |

`TuningGoal.Passivity` |
Passivity constraint for control system tuning |

`TuningGoal.ConicSector` |
Sector bound for control system tuning |

`TuningGoal.WeightedPassivity` |
Frequency-weighted passivity constraint |

`TuningGoal.Poles` |
Constraint on control system dynamics |

`TuningGoal.ControllerPoles` |
Constraint on controller dynamics for control system tuning |

`systune (slTuner)` |
Tune control system parameters in Simulink using slTuner interface |

`systuneOptions` |
Set options for systune |

```
getIOTransfer
(slTuner)
``` |
Transfer function for specified I/O set using slLinearizer or slTuner interface |

```
getLoopTransfer
(slTuner)
``` |
Open-loop transfer function at specified point using slLinearizer or slTuner interface |

```
getSensitivity
(slTuner)
``` |
Sensitivity function at specified point using slLinearizer or slTuner interface |

```
getCompSensitivity
(slTuner)
``` |
Complementary sensitivity function at specified point using slLinearizer or slTuner interface |

`writeBlockValue` |
Update block values in Simulink model |

`systune` |
Tune fixed-structure control systems modeled in MATLAB |

`systuneOptions` |
Set options for systune |

`getIOTransfer` |
Closed-loop transfer function from generalized model of control system |

`getLoopTransfer` |
Open-loop transfer function of control system |

`getSensitivity` |
Sensitivity function from generalized model of control system |

`getCompSensitivity` |
Complementary sensitivity function from generalized model of control system |

`viewSpec` |
View tuning goals; validate design against tuning goals |

`evalSpec` |
Evaluate tuning goals for tuned control system |

`slTuner` |
Interface for control system tuning of Simulink models |

`looptune` |
Tune MIMO feedback loops in Simulink using slTuner interface |

`looptuneOptions` |
Set options for looptune |

`loopview` |
Graphically analyze results of control system tuning using slTuner interface |

`looptuneSetup` |
Construct tuning setup for looptune to tuning setup for systune using slTuner interface |

`looptune` |
Tune fixed-structure feedback loops |

`looptuneOptions` |
Set options for looptune |

`loopview` |
Graphically analyze MIMO feedback loops |

`looptuneSetup` |
Convert tuning setup for looptune to tuning setup for systune |

`viewSpec` |
View tuning goals; validate design against tuning goals |

`evalSpec` |
Evaluate tuning goals for tuned control system |

`tunableSurface` |
Create tunable gain surface for gain scheduling |

`polyBasis` |
Polynomial basis functions for tunable gain surface |

`fourierBasis` |
Fourier basis functions for tunable gain surface |

`ndBasis` |
Basis functions for tunable gain surface |

`viewSurf` |
Visualize gain surface as a function of scheduling variables |

`evalSurf` |
Evaluate gain surfaces at specific design points |

`getData` |
Get current values of tunable-surface coefficients |

`setData` |
Set values of tunable-surface coefficients |

`systune` |
Tune fixed-structure control systems modeled in MATLAB |

`slTuner` |
Interface for control system tuning of Simulink models |

`systune (slTuner)` |
Tune control system parameters in Simulink using slTuner interface |

`lyap` |
Continuous Lyapunov equation solution |

`lyapchol` |
Square-root solver for continuous-time Lyapunov equation |

`dlyap` |
Solve discrete-time Lyapunov equations |

`dlyapchol` |
Square-root solver for discrete-time Lyapunov equations |

`care` |
Continuous-time algebraic Riccati equation solution |

`dare` |
Solve discrete-time algebraic Riccati equations (DAREs) |

`gcare` |
Generalized solver for continuous-time algebraic Riccati equation |

`gdare` |
Generalized solver for discrete-time algebraic Riccati equation |

`ctrb` |
Controllability matrix |

`obsv` |
Observability matrix |

`ctrbf` |
Compute controllability staircase form |

`obsvf` |
Compute observability staircase form |

`gram` |
Controllability and observability Gramians |

`gramOptions` |
Options for the gram command |

`bdschur` |
Block-diagonal Schur factorization |

`norm` |
Norm of linear model |

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