モデルの作成と取り扱い    

addition of LTI models 11
scalar 12
adjoint. See pertransposition
append 16

cell array 10, 13 <1> <2>
concatenation, model 10
horizontal 16
state-space model order, effects on 9
vertical 16
connection
parallel 12
series 13
constructor functions, LTI objects 4
conversion, model
automatic 41
between model types 40, 3 <1> <2>
continuous to discrete (c2d) 20
discrete to continuous (d2c) 34, 20 <1> <2>
with negative real poles 21
FRD model, to 40
resampling 26
SS model, to 40
state-space, to 41
TF model, to 40
ZPK model, to 40

d2d 26
delays
combining 52
discrete-time models 50
discretization 23
I/O 25, 43, 44 <1> <2> <3>
information, retrieving 52
input 25, 48 <1> <2>
output 25, 43, 48 <1> <2> <3>
Padé approximation 52
supported functionality 43
delays input 43
deletion
parts of LTI models 9
denominator
property 27
specification 8, 10, 21 <1> <2> <3>
value 23
descriptor systems. See state-space models, descriptor
digital filter
filt 22
specification 21
discrete-time models
resampling 26
See also LTI models
discretization 34, 20 <1> <2>
delay systems 23
first-order hold 22
matched poles/zeros 23
Tustin method 22
zero-order hold 20
dual. See transposition

extraction
LTI models, in 5

feedthrough gain 27
filt 22
first-order hold (FOH) 22
with delays 23
FRD (frequency response data) objects 3, 17 <1> <2>
conversion to 40
frequencies
indexing by 7
referencing by 7
uses 3
frequency response 17

gain 11
feedthrough 27
property
LTI properties gain 27
get 30
group. See I/O groups

hasdelay 52

I/O
concatenation 16
delays 25, 43, 44 <1> <2> <3>
groups 25
referencing models by group name 8
names 25, 35 <1> <2>
conflicts, naming 4
referencing models by 8
relation 5
inheritance 3
input 2
delays 25, 43, 48 <1> <2> <3>
groups 25
names 25
InputDelay. See delays
InputGroup 25, 26 <1> <2>
conflicts, naming 4
See also I/O groups
InputName 32, 35 <1> <2>
conflicts, naming 4
See also I/O names
inversion
model 13
ioDelayMatrix. See delay

LTI (linear time-invariant) 2
LTI arrays
conversion, model.See conversion
LTI models
addition 11
scalar 12
building 16
concatenation
effects on model order 9
horizontal 16
vertical 16
conversion 40, 3 <1> <2>
continuous/discrete 20
See also conversion, model
creating 8
discrete 19
discretization, matched poles/zeros 23
empty 11
I/O group or channel name, referencing by 8
interconnection functions 16
inversion 13
model data, accessing 23
modifying 5
multiplication 13
operations 1, 2 <1> <2>
precedence rules 3
See also operations
resizing 9
subsystem, modifying 9
subtraction 12
LTI objects 25, 31 <1> <2>
constructing 4
methods 4
properties. See LTI properties
See also LTI models
LTI properties 4, 25, 32 <1> <2> <3>
accessing property values (get) 30, 31 <1> <2>
displaying properties 31
generic properties 25
I/O groups. See I/O, groups
I/O names. See I/O, names
inheritance 3
model-specific properties 26
online help (ltiprops) 25
property names 25, 29 <1> <2>
property values 25, 30 <1> <2>
setting 28
sample time 3
variable property 4

map, I/O 5
methods 4
MIMO 2, 17 <1> <2>
model building 16
parallel connection 12
series connection 13
modeling. See model building
multiplication 13
scalar 13

Notes 26
numerator
property 27
specification 8, 10, 21 <1> <2> <3>
value 23

object-oriented programming 4
objects. See LTI objects
operations on LTI models
addition 11
append 16
arithmetic 11
concatenation 10, 9, 16 <1> <2> <3>
extracting a subsystem 6
inversion 13
multiplication 13
overloaded 4
pertransposition 14
precedence 3
resizing 9
subsystem, extraction 5
subtraction 12
transposition 14
output 2
delays 25, 43, 48 <1> <2> <3>
groups 25
names 25
OutputDelay. See delays
OutputGroup 25, 26 <1> <2>
group names, conflicts 4
See also I/O, groups
OutputName 32
conflicts, naming 4
See also I/O, names

Padé approximation (pade) 52
parallel connection 12
pertransposition 14
poles 12
property 27
precedence rules 5, 3 <1> <2>
properties
sample time 3
variable 4
properties. See LTI properties

resampling 26
response, I/O 5

sample time 19, 25, 26, 33, 3 <1> <2> <3> <4> <5>
accessing 23
resampling 26
setting 34
unspecified 26
series connection 13
set 28
SISO 2
ss 14
SS objects. See state-space models
state 14
matrix 27
names 27
vector 2
state-space models 2, 3 <1> <2>
conversion to 40
See also conversion
descriptor 16, 23 <1> <2>
matrices 14
model data 14
quick data retrieval 23
specification 14
ss 14
transfer functions of 40
subsystem 6, 5 <1> <2>
subsystem operations on LTI models
subsystem, modifying 9
subtraction 12

Td. See delays
tf 8
TF objects. See transfer functions
tfdata
output, form of 23
time delays. See delays
totaldelay 52
transfer functions 2, 3 <1> <2>
constructing with rational expressions 9
conversion to 40
denominator 8
discrete-time 19, 21 <1> <2>
DSP convention 21
filt 22
MIMO 10, 17 <1> <2>
numerator 8
quick data retrieval 23
specification 8
static gain 11
tf 8
TF object, display for 9
variable property 27, 4 <1> <2>
transposition 14
triangle approximation 22
Ts. See sample time
Tustin approximation 22
with frequency prewarping 23

Userdata 26

variable property 4

zero-order hold (ZOH) 20
with delays 23
zero-pole-gain (ZPK) models 2, 3 <1> <2>
conversion to 40
MIMO 13, 17 <1> <2>
quick data retrieval 23
specification 12
zpk 12
zeros 12
property 27
zpk 12
ZPK objects. See zero-pole-gain (ZPK) models
zpkdata
output, form of 23

References