Function Reference

Alphabetical List

---

GUIs Graphical user interface functions Numeric Linear Models Create numeric LTI SISO and MIMO models Generalized Linear Models Create and manipulate generalized LTI models Data Extraction Retrieve data from LTI objects Conversions Convert between model formats System Interconnections Connect models System Gain and Dynamics Retrieve information about system gain and dynamics Time Domain Analysis Analyze models in the time domain Frequency Domain Analysis Analyze models in the frequency domain Model Simplification Simplify models Compensator Design Implement basic control design techniques LQR/LQG Design Implement linear-quadtratic-regulator/linear-quadratic-Gaussian techniques State-Space Models Create and manipulate SS models Frequency Response Data Models Create and manipulate FRD models Time Delays Specify and manipulate model time delays Model Dimensions and Characteristics Extract information about models Overloaded and Arithmetic Operators Use arithmetic operators to connect and manipulate models Matrix Equation Solvers Solve Lyapunov and Riccati equations Preferences Set Control System Toolbox preferences Visualization of Model Dynamics and Responses Create plots Plot Customization Customize plots from the command line

Back to Top

GUIs

ltiview	LTI Viewer for LTI system response analysis
pidtool	Open PID Tuner for PID tuning
sisoinit	Configure SISO Design Tool at startup
sisotool	Interactively design and tune SISO feedback loops

Back to Top

Numeric Linear Models

delayss	Create state-space models with delayed inputs, outputs, and states
dss	Create descriptor state-space models
filt	Specify discrete transfer functions in DSP format
frd	Create frequency-response data model, convert to frequency-response data model
lti/exp	Create pure continuous-time delays
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
set	Set or modify model properties
setDelayModel	Construct state-space model with internal delays
ss	Create state-space model, convert to state-space model
tf	Create transfer function model, convert to transfer function model
zpk	Create zero-pole-gain model; convert to zero-pole-gain model

Back to Top

Generalized Linear Models

genfrd	Generalized frequency response data (FRD) model
genmat	Generalized matrix with tunable parameters
genss	Generalized state-space model
getBlockValue	Current value of Control Design Block in Generalized Model
getLFTModel	Decompose generalized LTI model
getValue	Current value of Generalized Model
isParametric	Determine if model has tunable parameters
ltiblock.gain	Tunable static gain block
ltiblock.pid	Tunable PID controller
ltiblock.ss	Tunable fixed-order state-space model
ltiblock.tf	Tunable transfer function with fixed number of poles and zeros
nblocks	Number of blocks in Generalized matrix or Generalized LTI model
realp	Real tunable parameter
replaceBlock	Replace or update Control Design Blocks in Generalized LTI model
setBlockValue	Modify value of Control Design Block in Generalized Model
setValue	Modify current value of Control Design Block
showBlockValue	Display current value of Control Design Block in Generalized Model

Back to Top

Data Extraction

dssdata	Extract descriptor state-space data
frdata	Access data for frequency response data (FRD) object
get	Access model property values
getDelayModel	State-space representation of internal delays
piddata	Access PID data
pidstddata	Access PIDSTD data
ssdata	Access state-space model data
tfdata	Access transfer function data
zpkdata	Access zero-pole-gain data

Back to Top

Conversions

c2d	Convert model from continuous to discrete time
c2dOptions	Create option set for continuous- to discrete-time conversions
chgFreqUnit	Change frequency units of frequency-response data model
chgTimeUnit	Change time units of dynamic system
d2c	Convert model from discrete to continuous time
d2cOptions	Create option set for discrete- to continuous-time conversions
d2d	Resample discrete-time model
d2dOptions	Create option set for discrete-time resampling
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
ss	Create state-space model, convert to state-space model
tf	Create transfer function model, convert to transfer function model
thiran	Generate fractional delay filter based on Thiran approximation
upsample	Upsample discrete-time models
zpk	Create zero-pole-gain model; convert to zero-pole-gain model

Back to Top

System Interconnections

append	Group models by appending their inputs and outputs
blkdiag	Block-diagonal concatenation of models
connect	Block diagram interconnections of dynamic systems
feedback	Feedback connection of two models
imp2exp	Convert implicit linear relationship to explicit input-output relation
lft	Generalized feedback interconnection of two models (Redheffer star product)
parallel	Parallel connection of two models
series	Series connection of two models
strseq	Create sequence of indexed strings
sumblk	Summing junction for name-based interconnections

Back to Top

System Gain and Dynamics

bandwidth	Frequency response bandwidth
damp	Natural frequency; damping ratio
dcgain	Low-frequency (DC) gain of LTI system
dsort	Sort discrete-time poles by magnitude
esort	Sort continuous-time poles by real part
iopzmap	Plot pole-zero map for I/O pairs of model
modsep	Region-based modal decomposition
norm	Norm of linear model
order	Query model order
pole	Compute poles of dynamic system
pzmap	Pole-zero plot of dynamic system
stabsep	Stable-unstable decomposition of LTI model
stabsepOptions	Create option set for stable/unstable decomposition
tzero	Invariant zeros of linear system
zero	Zeros and gain of SISO dynamic system

Back to Top

Time Domain Analysis

covar	Output and state covariance of system driven by white noise
gensig	Generate test input signals for lsim
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
lsimplot	Simulate response of dynamic system to arbitrary inputs and return plot handle
step	Step response plot of dynamic system
stepinfo	Rise time, settling time, and other step response characteristics

Back to Top

Frequency Domain Analysis

allmargin	Gain margin, phase margin, delay margin and crossover frequencies
bode	Bode plot of frequency response, magnitude and phase of frequency response
bodemag	Bode magnitude response of LTI models
db2mag	Convert decibels (dB) to magnitude
evalfr	Evaluate frequency response at given frequency
freqresp	Frequency response over grid
getGainCrossover	Crossover frequencies for specified gain
getPeakGain	Peak gain of dynamic system frequency response
mag2db	Convert magnitude to decibels (dB)
margin	Gain margin, phase margin, and crossover frequencies
nichols	Nichols chart of frequency response
nyquist	Nyquist plot of frequency response
sigma	Singular values plot of dynamic system

Back to Top

Model Simplification

balred	Model order reduction
balredOptions	Create option set for model order reduction
hsvd	Hankel singular values of dynamic system
hsvdOptions	Create option set for computing Hankel singular values and input/output balancing
minreal	Minimal realization or pole-zero cancelation
modred	Model order reduction
sminreal	Structural pole/zero cancellations

Back to Top

Compensator Design

estim	Form state estimator given estimator gain
pidtune	PID tuning algorithm for linear plant model
place	Pole placement design
reg	Form regulator given state-feedback and estimator gains
rlocus	Root locus plot of dynamic system

Back to Top

LQR/LQG Design

augstate	Append state vector to output vector
dlqr	Linear-quadratic (LQ) state-feedback regulator for discrete-time state-space system
kalman	Kalman filter design, Kalman estimator
kalmd	Design discrete Kalman estimator for continuous plant
lqg	Linear-Quadratic-Gaussian (LQG) design
lqgreg	Form linear-quadratic-Gaussian (LQG) regulator
lqgtrack	Form Linear-Quadratic-Gaussian (LQG) servo controller
lqi	Linear-Quadratic-Integral control
lqr	Linear-Quadratic Regulator (LQR) design
lqrd	Design discrete linear-quadratic (LQ) regulator for continuous plant
lqry	Form linear-quadratic (LQ) state-feedback regulator with output weighting

Back to Top

State-Space Models

balreal	Gramian-based input/output balancing of state-space realizations
canon	State-space canonical realization
ctrb	Controllability matrix
drss	Generate random discrete test model
gram	Controllability and observability gramians
obsv	Observability matrix
prescale	Optimal scaling of state-space models
rss	Generate random continuous test model
ss2ss	State coordinate transformation for state-space model
xperm	Reorder states in state-space models

Back to Top

Frequency Response Data Models

abs	Entrywise magnitude of frequency response
chgFreqUnit	Change frequency units of frequency-response data model
fcat	Concatenate FRD models along frequency dimension
fdel	Delete specified data from frequency response data (FRD) models
fnorm	Pointwise peak gain of FRD model
fselect	Select frequency points or range in FRD model
interp	Interpolate FRD model

Back to Top

Time Delays

absorbDelay	Replace time delays by poles at z = 0 or phase shift
hasdelay	True for linear model with time delays
pade	Padé approximation of model with time delays
thiran	Generate fractional delay filter based on Thiran approximation
totaldelay	Total combined I/O delays for LTI model

Back to Top

Model Dimensions and Characteristics

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
isproper	Determine if dynamic system model is proper
issiso	Determine if dynamic system model is single-input/single-output (SISO)
isstable	Determine whether system is stable
ndims	Query number of dimensions of dynamic system model or model array
reshape	Change shape of model array
size	Query output/input/array dimensions of input–output model and number of frequencies of FRD model

Back to Top

Overloaded and Arithmetic Operators

+ and —	Add and subtract systems (parallel connection)
*	Multiply systems (series connection)
.*	Element-by-element multiplication
\	Left divide — sys1\sys2 means inv(sys1)*sys2
/	Right divide — sys1/sys2 means sys1*inv(sys2)
^	Powers of given system
'	Pertransposition
.'	Transposition of input/output map
[..]	Concatenate models along inputs or outputs

conj	Form model with complex conjugate coefficients
inv	Invert models
stack	Build model array by stacking models or model arrays along array dimensions

Back to Top

Matrix Equation Solvers

bdschur	Block-diagonal Schur factorization
care	Continuous-time algebraic Riccati equation solution
dare	Solve discrete-time algebraic Riccati equations (DAREs)
dlyap	Solve discrete-time Lyapunov equations
dlyapchol	Square-root solver for discrete-time Lyapunov equations
gcare	Generalized solver for continuous-time algebraic Riccati equation
gdare	Generalized solver for discrete-time algebraic Riccati equation
lyap	Continuous Lyapunov equation solution
lyapchol	Square-root solver for continuous-time Lyapunov equation

Back to Top

Preferences

ctrlpref

Set Control System Toolbox preferences

Back to Top

Visualization of Model Dynamics and Responses

bodeplot	Plot Bode frequency response with additional plot customization options
hsvplot	Plot Hankel singular values and return plot handle
impulseplot	Plot impulse response and return plot handle
initialplot	Plot initial condition response and return plot handle
iopzplot	Plot pole-zero map for I/O pairs and return plot handle
ngrid	Superimpose Nichols chart on Nichols plot
nicholsplot	Plot Nichols frequency responses and return plot handle
nyquistplot	Nyquist plot with additional plot customization options
pzplot	Pole-zero map of dynamic system model with plot customization options
rlocusplot	Plot root locus and return plot handle
sgrid	Generate s-plane grid of constant damping factors and natural frequencies
sigmaplot	Plot singular values of frequency response and return plot handle
stepplot	Plot step response and return plot handle
zgrid	Generate z-plane grid of constant damping factors and natural frequencies

Back to Top

Plot Customization

bodeoptions	Create list of Bode plot options
getoptions	Return @PlotOptions handle or plot options property
hsvoptions	Create list of Hankel singular value plot options
nicholsoptions	Create list of Nichols plot options
nyquistoptions	List of Nyquist plot options
pzoptions	Create list of pole/zero plot options
setoptions	Set plot options for response plot
sigmaoptions	Create list of singular-value plot options
timeoptions	Create list of time plot options

Functions — Alphabetical List

© 1984-2012- The MathWorks, Inc.    -   Site Help   -   Patents   -   Trademarks   -   Privacy Policy   -   Preventing Piracy   -   RSS