Creating and Manipulating Models

A

addition of LTI models

scalar

adjoint. See pertransposition

append <1> <2>

array dimensions

arrays. See LTI arrays <1> <2>

B

balancing realizations

building LTI arrays

C

canonical realizations

cell array <1> <2>

concatenation, model

horizontal

LTI arrays

state-space model order, effects on

vertical

connection

parallel

series

constructor functions, LTI objects

continuous-time

conversion, model

automatic

between model types <1> <2>

continuous to discrete (c2d)

discrete to continuous (d2c) <1> <2>

with negative real poles

FRD model, to

resampling

SS model, to

state-space, to

TF model, to

ZPK model, to

D

d2d

delays

combining

discrete-time models

discretization

I/O <1> <2> <3>

information, retrieving

input <1> <2>

output <1> <2> <3>

Padé approximation

supported functionality

delays input

deletion

parts of LTI arrays

parts of LTI models

denominator

property

specification <1> <2> <3>

value

descriptor systems. See state-space models, descriptor

digital filter

filt

specification

dimensions

array

I/O

discrete-time models

resampling

See also LTI models

discretization <1> <2>

delay systems

first-order hold

matched poles/zeros

Tustin method

zero-order hold

dual. See transposition

E

extraction

LTI arrays, in

LTI models, in

F

feedthrough gain

filt

first-order hold (FOH)

with delays

FRD (frequency response data) objects <1> <2>

conversion to

frequencies

indexing by

referencing by

uses

frequency response

G

gain

feedthrough

property

LTI properties gain

get

group. See I/O groups

H

hasdelay

I

I/O

concatenation

delays <1> <2> <3>

dimensions

LTI arrays

groups

referencing models by group name

names <1> <2>

conflicts, naming

referencing models by

relation

indexing into LTI arrays

single index access

inheritance

input

delays <1> <2> <3>

groups

names

number of inputs

InputDelay. See delays

InputGroup <1> <2>

conflicts, naming

See also I/O groups

InputName <1> <2>

conflicts, naming

See also I/O names

inversion

model

ioDelayMatrix. See delay

L

LTI (linear time-invariant)

LTI arrays 1, <1> <2>

accessing models

analysis functions

array dimensions

building

building LTI arrays

building with rss

building with tf, zpk, ss, and frd

concatenation

conversion, model.See conversion

deleting parts of

dimensions, size, and shape

extracting subsystems

indexing into

interconnection functions

model dimensions

operations on

dimension requirements

special cases

reassigning parts of

size

stack

LTI models

addition

scalar

building

characteristics

concatenation

effects on model order

horizontal

vertical

continuous

conversion <1> <2>

continuous/discrete

See also conversion, model

creating

discrete <1> <2>

discretization, matched poles/zeros

empty <1> <2>

functions, analysis

I/O group or channel name, referencing by

interconnection functions

inversion

model data, accessing

modifying

multiplication

operations

precedence rules

See also operations

proper transfer function

resizing

subsystem, modifying

subtraction

type

LTI objects <1> <2>

constructing

methods

properties. See LTI properties

See also LTI models

LTI properties <1> <2> <3>

accessing property values (get) <1> <2>

displaying properties

generic properties

I/O groups. See I/O, groups

I/O names. See I/O, names

inheritance

model-specific properties

online help (ltiprops)

property names <1> <2>

property values <1> <2>

setting

sample time

variable property

M

map, I/O

methods

MIMO <1> <2>

model building

parallel connection

series connection

model dynamics, function list

modeling. See model building

multiplication

scalar

N

Notes

numerator

property

specification <1> <2> <3>

value

O

object-oriented programming

objects. See LTI objects

operations on LTI models

addition

append

arithmetic

concatenation <1> <2> <3>

extracting a subsystem

inversion

multiplication

overloaded

pertransposition

precedence

resizing

subsystem, extraction

subtraction

transposition

output

delays <1> <2> <3>

groups

names

number of outputs

OutputDelay. See delays

OutputGroup <1> <2>

group names, conflicts

See also I/O, groups

OutputName

conflicts, naming

See also I/O, names

P

Padé approximation (pade)

parallel connection

pertransposition

poles

property

precedence rules <1> <2>

proper transfer function

properties

sample time

variable

properties. See LTI properties

R

realization

state coordinate transformation

realizations

balanced

canonical

resampling

response, I/O

rss

building an LTI array with

S

sample time <1> <2> <3> <4> <5>

accessing

resampling

setting

unspecified

series connection

set

SISO <1> <2>

SS

ss

SS models

SS objects. See state-space models

stack

state

matrix

names

transformation

vector

state-space models <1> <2>

balancing

conversion to

See also conversion

descriptor <1> <2>

matrices

model data

quick data retrieval

realizations

specification

ss

transfer functions of

subsystem <1> <2>

subsystem operations on LTI models

subsystem, modifying

subtraction

T

Td. See delays

tf

TF objects. See transfer functions

tfdata

output, form of

time delays. See delays

totaldelay

transfer functions <1> <2>

constructing with rational expressions

conversion to

denominator

discrete-time <1> <2>

DSP convention

filt

MIMO <1> <2>

numerator

quick data retrieval

specification

static gain

tf

TF object, display for

variable property <1> <2>

transposition

triangle approximation

Ts. See sample time

Tustin approximation

with frequency prewarping

U

Userdata

V

variable property

Z

zero-order hold (ZOH)

with delays

zero-pole-gain (ZPK) models <1> <2>

conversion to

MIMO <1> <2>

quick data retrieval

specification

zpk

zeros

property

zpk

ZPK objects. See zero-pole-gain (ZPK) models

zpkdata

output, form of

Other Operations on LTI Arrays