Control System Toolbox Function Reference

Index

Symbols

A

B

balancing realizations

block diagram. See model building

bode (Bode plots)

bodemag (Bode magnitude plots)

C

c2d

canonical realizations

companion realizations

comparing models

concatenation, model

connect <1> <2>

connection

continuous-time

conversion to. See conversion, model

controllability

matrix (ctrb)

conversion, model

between model types

continuous to discrete (c2d)

discrete to continuous (d2c)

with negative real poles

resampling

discrete models

state-space, to

covariance

crossover frequencies

D

d2c

d2d

delays

existence of, test for

Padé approximation

denominator

common denominator

design

Kalman estimator

regulators <1> <2>

state estimator

diagonal realizations

digital filter

discrete-time models

equivalent continuous poles

Kalman estimator

discrete-time random models

available methods

dss

E

discrete for continuous plant

F

filt <1> <2> <3>

first-order hold (FOH)

frd

FRD (frequency response data) objects

frequencies

units, conversion

singular value plots

frequency

for discrete systems

logarithmically spaced frequencies

frequency response

at single frequency (evalfr)

discrete-time frequency

Nichols chart (ngrid)

singular value plot

viewing the gain and phase margins

G

gain

low frequency (DC)

state-feedback gain

get

gramian (gram)

H

Hamiltonian matrix and pencil

I

I/O

impulse response

initial condition

input

See also InputName <1> <2>

number of inputs

interconnection. See model building

inv

K

Kalman estimator

L

LFT (linear-fractional transformation)

LQG (linear quadratic-gaussian) method

continuous LQ regulator

current regulator

discrete LQ regulator

Kalman state estimator

LQ-optimal gain

optimal state-feedback gain

lqr

LTI arrays

shape, changing

LTI models

comparing multiple models

discrete random

frd

model order reduction

model order reduction (balanced realization)

proper transfer function

ss

zpk

LTI properties

accessing property values (get)

admissible values

displaying properties

property names <1> <2>

property values <1> <2>

Lyapunov equation <1> <2>

M

margins, gain and phase

matched pole-zero

model building

appending LTI models

feedback connection

modeling block diagrams (connect)

parallel connection

series connection

model order reduction

balanced realization

N

natural frequency

Nichols

plot (nichols)

noise

norms of LTI systems (norm)

numerator

Nyquist

plot (nyquist)

O

observability

matrix (ctrb)

operations on LTI models

augmenting state with outputs

diagonal building

sorting the poles

output

names. See also OutputName

number of outputs

P

Padé approximation (pade)

parallel connection

plotting

multiple systems

Nichols chart (ngrid)

s-plane grid (sgrid)

z-plane grid (zgrid)

poles

equivalent continuous poles

natural frequency

sorting by magnitude (dsort)

s-plane grid (sgrid)

z-plane grid (zgrid)

pole-zero

proper transfer function

R

realization

state coordinate transformation

state coordinate transformation (canonical)

reduced-order models

balanced realization

resampling (d2d)

Riccati equation

continuous (care)

discrete (dare)

stabilizing solution

root locus

plot (rlocus)

rss

S

sample time

second-order model

series connection

set

simulation of linear systems. See time response

singular value plot (bode)

SISO Design Tool

ss

stability margins

stabilizing, Riccati equation

state

augmenting with outputs

discrete estimator

number of states

transformation (canonical)

unobservable <1> <2>

state-space models

descriptor <1> <2>

discrete random

discrete-time models

dss

initial condition response

quick data retrieval (dssdata)

random

continuous-time

ss

Sylvester equation

symplectic pencil

T

tf

time response

impulse response (impulse)

initial condition response (initial)

response to arbitrary inputs (lsim)

step response (step)

transfer functions

common denominator

discrete-time random

quick data retrieval (tfdata)

tf

transmission zeros. See zeros

triangle approximation

Tustin approximation

with frequency prewarping

tzero. See zero

Z

zero-order hold (ZOH)

zero-pole-gain (ZPK) models

quick data retrieval (zpkdata)

zpk

zeros

zpk

zpkdata