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Function list
Linear System Representation
Chapter
Function
Implemented
File
Status
Basic Models
tf
yes
@tf/tf.m
zpk
yes
zpk.m
ss
yes
@ss/ss.m
frd
yes
@frd/frd.m
pid
no
pidstd
no
pid2
no
dss
yes
@lti/dss.m
drss
no
filt
yes
filt.m
rss
no
Tunable Models
ltiblock.gain
no
ltiblock.pid
no
ltiblock.pid2
no
ltiblock.ss
no
ltiblock.tf
no
realp
no
AnalysisPoint
no
genss
no
genfrd
no
genmat
no
getLoopTransfer
no
getIOTransfer
no
getSensitivity
no
getCompSensitivity
no
getPoints
no
replaceBlock
no
getValue
no
setValue
no
getBlockValue
no
setBlockValue
no
showBlockValue
no
showTunable
no
nblocks
no
getLFTModel
no
Model with Time Delays
pade
no
absorbDelay
no
thiran
yes
thiran.m
hasdelay
no
hasInternalDelay
no
totaldelay
no
delayss
no
setDelayModel
no
getDelayModel
no
Model Attributes
get
yes
@iddata/get.m
set
yes
@iddata/set.m
tfdata
yes
@lti/tfdata.m
zpkdata
yes
@lti/zpkdata.m
ssdata
yes
@lti/ssdata.m
frdata
yes
@lti/frdata.m
piddata
no
pidstddata
no
piddata2
no
pidstddata2
no
dssdata
yes
@lti/dssdata.m
chgFreqUnit
no
chgTimeUnit
no
isct
yes
@lti/isct.m
isdt
yes
@lti/isdt.m
isempty
yes
built-in function
isfinite
yes
built-in function
isParametric
no
isproper
no
isreal
yes
built-in function
isiso
no
isstable
yes
@lti/isstable.m
isstatic
no
order
no
ndims
yes
built-in function
size
yes
built-in function
Model Arrays
stack
no
nmodels
no
permute
yes
built-in function
reshape
yes
built-in function
repsys
yes
repsys.m
Model Interconnection
Function
Implemented
File
Status
feedback
yes
@lti/feedback.m
connect
yes
@lti/connect.m
sumblk
yes
sumblk.m
series
no
parallel
no
append
yes
append.m
blkdiag
yes
@lti/blkdiag.m
imp2exp
no
inv
yes
built-in function
lft
no
connectOptions
no
Model Transformation
Chapter
Function
Implemented
File
Status
Model Type Conversion
tf
Linear Sytsem Representation
zpk
Linear Sytsem Representation
ss
Linear Sytsem Representation
frd
Linear Sytsem Representation
pid
Linear Sytsem Representation
pidstd
Linear Sytsem Representation
pid2
Linear Sytsem Representation
pidstd2
no
make1DOF
no
make2DOF
no
getComponents
no
Linear Analysis
Control Design
Matrix Computations
Some very basic examples
PT1/low-pass filter step response
Code: Creating a transfer function and plotting its response
T1 = 0.4 ; # time constant
P = tf ([ 1 ], [ T1 1 ]) # create transfer function model
step ( P , 2 ) # plot step response
#add some common markers like the tangent line at the origin, which crosses lim(n->inf) f(t) at t=T1
hold on
plot ([ 0 T1 ], [ 0 1 ], "g" )
plot ([ T1 T1 ], [ 0 1 ], "k" )
plot ([ 0 T1 ], [ 1 - 1 / e 1 - 1 / e ], "m" )
hold off
Try also bode(P)!
(a first order low-pass filter has -3db magnitude at f=1/T1)