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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 |

`voidModel` | Mark missing or irrelevant models in model array |

`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 cancellation |

`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` | 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 |

`pzmap` | Pole-zero plot of dynamic system |

`iopzmap` | Plot pole-zero map for I/O pairs of model |

`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 |

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

`iopzplot` | Plot pole-zero map for I/O pairs 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 |

`particleFilter` | Particle filter object for online state estimation |

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

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

`initialize` | Initialize the state of the particle 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 |

`writeLookupTableData` | Update portion of tuned lookup table |

`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 |

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

`evalGoal` | 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 |

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

`evalGoal` | 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 |

`codegen` | Generate MATLAB code for tunable gain surfaces |

`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 |

`voidModel` | Mark missing or irrelevant models in model array |

`varyingGoal` | Variable tuning goal for gain-scheduled controllers |

`getGoal` | Evaluate variable tuning goal at specified design point |

`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 |