Symbols


A

acker
algebraic loop
append
augstate

B

balancing realizations
balreal
block diagram. See model building
bode (Bode plots)
bodemag (Bode magnitude plots)

C

c2d
cancellation
canon
canonical realizations
care
cell array
chgunits
companion realizations
comparing models
concatenation, model
    LTI arrays
connect <1> <2>
connection
    feedback
    parallel
    series
continuous-time
    conversion to. See conversion, model
    random model
controllability
    matrix (ctrb)
    staircase form
conversion, model
    between model types
    continuous to discrete (c2d)
    discrete to continuous (d2c)
        with negative real poles
    resampling
        discrete models
    state-space, to
covar
covariance
    output
    state
crossover frequencies
    allmargin
    margin
ctrb
ctrbf

D

d2c
d2d
damp
damping
dare
dcgain
delay2z
delays
    combining
    conversion
    delay2z
    existence of, test for
    hasdelay
    I/O
    input
    output
    Padé approximation
    time
denominator
    common denominator
    property
    specification
design
    Kalman estimator
    LQG <1> <2>
    pole placement
    regulators <1> <2>
    state estimator
diagonal realizations
digital filter
    specification
Dirac impulse
discrete-time models
    equivalent continuous poles
    frequency
    Kalman estimator
    random
discrete-time random models
discretization
    available methods
dlqr
dlyap
drmodel
drss
dsort
DSP convention
dss
dssdata

E

esort
estim
estimator
    current
    discrete
    discrete for continuous plant
evalfr

F

feedback
feedback
    algebraic loop
    negative
    positive
filt <1> <2> <3>
first-order hold (FOH)
frd
FRD (frequency response data) objects
    data
    frdata
    frequencies
        units, conversion
    singular value plots
frdata
freqresp
frequency
    crossover
    for discrete systems
    logarithmically spaced frequencies
    natural
    Nyquist
frequency response
    at single frequency (evalfr)
    Bode plot
    discrete-time frequency
    freqresp
    magnitude
    MIMO
    Nichols chart (ngrid)
    Nichols plot
    Nyquist plot
    phase
    plotting
    singular value plot
    viewing the gain and phase margins

G

gain
    low frequency (DC)
    state-feedback gain
gain margins
gensig
get
gram
gramian (gram)

H

Hamiltonian matrix and pencil
hasdelay

I

I/O
    delays
    dimensions
impulse
impulse response
inheritance
initial
initial condition
innovation
input
    delays
    Dirac impulse
    names
        See also InputName <1> <2>
    number of inputs
    pulse
    sine wave
    square wave
interconnection. See model building
inv
inversion
    limitations
isct
isdt
isempty
isproper
issiso

K

kalman
Kalman estimator
    current
    discrete
    innovation
    steady-state
kalmd

L

LFT (linear-fractional transformation)
LQG (linear quadratic-gaussian) method
    continuous LQ regulator
    cost function
    current regulator
    discrete LQ regulator
    Kalman state estimator
    LQ-optimal gain
    optimal state-feedback gain
    regulator
lqr
lqrd
lqry
lsim
LTI arrays
    building
    concatenation
    shape, changing
    stack
LTI models
    comparing multiple models
    dimensions
    discrete
    discrete random
    empty
    frd
    model order reduction
    model order reduction (balanced realization)
    ndims
    norms
    proper transfer function
    random
    second-order
    SISO
    ss
    zpk
LTI properties
    accessing property values (get)
    admissible values
    displaying properties
    inheritance
    property names <1> <2>
    property values <1> <2>
        setting
LTI Viewer
ltiview
lyap
Lyapunov equation <1> <2>
    continuous
    discrete

M

margin
margins, gain and phase
matched pole-zero
MIMO
minreal
model building
    appending LTI models
    feedback connection
    modeling block diagrams (connect)
    parallel connection
    series connection
model order reduction
    balanced realization
modred

N

natural frequency
ndims
ngrid
Nichols
    chart
    plot (nichols)
nichols
noise
    measurement
    process
    white
norm
norms of LTI systems (norm)
numerator
    property
    specification
    value
Nyquist
    frequency
    plot (nyquist)
nyquist

O

observability
    matrix (ctrb)
    staircase form
obsv
obsvf
operations on LTI models
    append
    augmenting state with outputs
    diagonal building
    inversion
    sorting the poles
ord2
output
    covariance
    delays
    names
    names. See also OutputName
    number of outputs
    

P

pade
Padé approximation (pade)
parallel
parallel connection
phase margins
place
plotting
    multiple systems
    Nichols chart (ngrid)
    s-plane grid (sgrid)
    z-plane grid (zgrid)
pole
pole placement
poles
    computing
    damping
    equivalent continuous poles
    multiple
    natural frequency
    pole-zero map
    sorting by magnitude (dsort)
    s-plane grid (sgrid)
    z-plane grid (zgrid)
pole-zero
    cancellation
    map (pzmap)
proper transfer function
pulse
pzmap

R

random models
realization
    state coordinate transformation
    state coordinate transformation (canonical)
realizations
    balanced
    canonical
    companion form
    minimal
    modal form
reduced-order models
    balanced realization
regulation
resampling (d2d)
reshape
Riccati equation
    continuous (care)
    discrete (dare)
    for LQG design
    -like
    stabilizing solution
rlocus
rmodel
root locus
    plot (rlocus)
rss

S

sample time
    resampling
    setting
    unspecified
second-order model
series
series connection
set
simulation of linear systems. See time response
sine wave
singular value plot (bode)
SISO
SISO Design Tool
square wave
ss
stability margins
    margin
    pole
    pzmap
stabilizable
stabilizing, Riccati equation
stack
state
    augmenting with outputs
    covariance
    discrete estimator
    estimator
    feedback
    names
    number of states
    transformation
    transformation (canonical)
    uncontrollable
    unobservable <1> <2>
state-space models
    balancing
    descriptor <1> <2>
    discrete random
        discrete-time models
    dss
    initial condition response
    quick data retrieval (dssdata)
    random
        continuous-time
    realizations
    specification
    ss
step response
Sylvester equation
symplectic pencil

T

tf
time response
    final time
    impulse response (impulse)
    initial condition response (initial)
    MIMO
    response to arbitrary inputs (lsim)
    step response (step)
    to white noise
totaldelay
transfer functions
    common denominator
    discrete-time
    discrete-time random
    DSP convention
    filt
    MIMO
    quick data retrieval (tfdata)
    random
    specification
    static gain
    tf
transmission zeros. See zeros
triangle approximation
Tustin approximation
    with frequency prewarping
tzero. See zero

Z

zero
zero-order hold (ZOH)
zero-pole-gain (ZPK) models
    MIMO
    quick data retrieval (zpkdata)
    specification
    static gain
    zpk
zeros
    computing
    pole-zero map
    transmission
zpk