addResponse
Description
addResponse(
adds
the response for dynamic system model
rp
,sys
)sys
to the existing response plot associated with chart object
rp
.
The time and frequency specifications for the added response are computed automatically.
The line width and color for the response are assigned automatically.
addResponse(___,Name=Value)
configures added responses
using one or more name-value arguments.
Examples
Plot Multiple Step Responses
Create a second-order transfer function with a damping ratio of 0.5.
wn = 2; zeta = 0.5; sys = tf(wn^2,[1,2*zeta*wn,wn^2]);
Plot the step response of this system.
sp = stepplot(sys);
Create a transfer function with a lower damping ratio and add it to the step plot.
zetaL = 0.25; sysL = tf(wn^2,[1,2*zetaL*wn,wn^2]); addResponse(sp,sysL);
Create a transfer function with a higher damping ratio and add it to the step plot.
zetaH = 0.75; sysH = tf(wn^2,[1,2*zetaH*wn,wn^2]); addResponse(sp,sysH);
Add a legend to the plot.
legend("zeta = 0.5","zeta = 0.25","zeta = 0.75",... Location="southeast");
Input Arguments
rp
— Response plot chart object
impulseplot
object | initialplot
object | stepplot
object | lsimplot
object | bodeplot
object | nicholsplot
object | nyquistplot
object | sigmaplot
object | pzplot
object | iopzplot
object | rlocusplot
object
Response plot chart object, specified as one of the following objects:
impulseplot
— Impulse responseinitialplot
— Initial condition responsestepplot
— Step responselsimplot
— Simulated time response to arbitrary inputbodeplot
— Bode frequency responsenicholsplot
— Nichols frequency responsenyquistplot
— Nyquist responsesigmaplot
— Singular values for frequency responsepzplot
— Pole-zero mapiopzplot
— Plot pole-zero map for input-output pairsrlocusplot
— Root locus plot
sys
— Dynamic system
dynamic system model | model array
Dynamic system, specified as a SISO or MIMO dynamic system model or array of dynamic system models. Dynamic systems that you can use include:
Continuous-time or discrete-time numeric LTI models, such as
tf
,zpk
, orss
models.Generalized or uncertain LTI models such as
genss
oruss
(Robust Control Toolbox) models. Using uncertain models requires Robust Control Toolbox™ software.For tunable control design blocks, the function evaluates the model at its current value to plot the response.
For uncertain control design blocks, the function plots the nominal value and random samples of the model.
Frequency-response data models such as
frd
models. For such models, the function plots the response at the frequencies defined in the model.Identified LTI models, such as
idtf
(System Identification Toolbox),idss
(System Identification Toolbox), oridproc
(System Identification Toolbox) models. Using identified models requires System Identification Toolbox™ software.Linear time-varying (
ltvss
) and linear parameter-varying (lpvss
) models.
Dependencies
The supported models depend on the type of chart object specified in
rp
.
Frequency-response data models are supported only for
bodeplot
,nicholsplot
,nyquistplot
, andsigmaplot
chart objects.Linear time-varying and linear parameter-varying models are supported only for
stepplot
,impulseplot
,initialplot
, andlsimplot
chart objects.For
rlocusplot
chart objects, only SISO models are supported.
Name-Value Arguments
Specify optional pairs of arguments as
Name1=Value1,...,NameN=ValueN
, where Name
is
the argument name and Value
is the corresponding value.
Name-value arguments must appear after other arguments, but the order of the
pairs does not matter.
Example: Color="red"
sets the plot color to red.
Color
— Plot color
RGB triplet | hexadecimal color code | color name
Plot color, specified as an RGB triplet or a hexadecimal color code and stored as an RGB triplet.
Alternatively, you can specify some common colors by name. The following table lists these colors and their corresponding RGB triplets and hexadecimal color codes.
Color Name | RGB Triplet | Hexadecimal Color Code |
---|---|---|
| [1 0 0] | #FF0000 |
| [0 1 0] | #00FF00 |
| [0 0 1] | #0000FF |
| [0 1 1] | #00FFFF |
| [1 0 1] | #FF00FF |
| [1 1 0] | #FFFF00 |
| [0 0 0] | #000000 |
| [1 1 1] | #FFFFFF |
LineStyle
— Line style
"-"
| "--"
| ":"
| "-."
Line style, specified as one of the following values.
Line Style | Description |
---|---|
"-" | Solid line |
"--" | Dashed line |
":" | Dotted line |
"-." | Dash-dotted line |
MarkerStyle
— Marker style
"none"
| "o"
| "+"
| "*"
| "."
| ...
Marker style, specified as one of the following values.
Marker | Description |
---|---|
"none" | No marker |
"o" | Circle |
"+" | Plus sign |
"*" | Asterisk |
"." | Point |
"x" | Cross |
"_" | Horizontal line |
"|" | Vertical line |
"s" | Square |
"d" | Diamond |
"^" | Upward-pointing triangle |
"v" | Downward-pointing triangle |
">" | Right-pointing triangle |
"<" | Left-pointing triangle |
"p" | Pentagram |
"h" | Hexagram |
Options
— Plot options
timeoptions
object | bodeoptions
object | object | nicholsoptions
object | nyquistoptions
object | sigmaoptions
object | pzoptions
object
Plot options, specified as one of the following objects, depending on the type of
chart object specified in rp
.
Options Object | Chart Object rp |
---|---|
timeoptions | impulseplot , initialplot ,
stepplot , and lsimplot |
bodeoptions | bodeplot |
nicholsoptions | nicholsplot |
nyquistoptions | nyquistplot |
sigmaoptions | sigmapplot |
pzoptions | pzplot , iopzplot , and
rlocusplot |
Time
— Time steps
positive scalar | two-element vector | vector | []
Time steps at which to compute the response, specified as one of the following:
Positive scalar
tFinal
— Compute the response fromt = 0
tot = tFinal
.Two-element vector
[t0 tFinal]
— Compute the response fromt = t0
tot = tFinal
. (since R2023b)Vector
Ti:dt:Tf
— Compute the response for the time points specified int
.For continuous-time systems,
dt
is the sample time of a discrete approximation to the continuous system.For discrete-time systems with a specified sample time,
dt
must match the sample time propertyTs
ofsys
.For discrete-time systems with an unspecified sample time (
Ts = -1
),dt
must be1
.
[]
— Automatically select time values based on system dynamics.
When you specify a time range using either tFinal
or
[t0 tFinal]
:
For continuous-time systems, the function automatically determines the size of the time step and number of points based on the system dynamics.
For discrete-time systems with a specified sample time, the function uses the sample time of
sys
as the step size.For discrete-time systems with unspecified sample time (
Ts = -1
), the function interpretstFinal
as the number of sampling periods to simulate with a sample time of 1 second.
Express t
using the time units specified in the
TimeUnit
property of sys
.
If you specified a step delay td
using
Config
, the function applies the step at t =
t0+td
.
Dependencies
This argument is supported only when rp
is a
stepplot
object or an impulse
object.
Parameter
— LPV model parameter trajectory
matrix | function handle
Parameter trajectory of the LPV model, specified as a matrix or a function handle.
For exogenous or explicit trajectories, specify
p
as a matrix with dimensions N-by-Np, where N is the number of time samples and Np is the number of parameters.Thus, the row vector
p(i,:)
contains the parameter values at the ith time step.For endogenous or implicit trajectories, specify
p
as a function handle of the form p = F(t,x,u) in continuous time and p = F(k,x,u) in discrete time that gives parameters as a function of time t or time sample k, state x, and input u.This option is useful when you want to simulate quasi-LPV models. For an example, see Step Response of LPV Model.
Dependencies
This argument is supported only when sys
is an LPV model
and rp
is a stepplot
object or an
impulse
object.
Config
— Response configuration
RespConfig
object
Configuration of the applied signal, specified as a RespConfig
object. By default, step
applies
an input that goes from 0 to 1 at time t = 0
. Use this input
argument to change the configuration of the step input. See Response to Custom Step Input for an example.
For lpvss
and
ltvss
models with offsets
(x0(t),u0(t)),
you can use RespConfig
to define the input relative to
u0(t,p)
and initialize the simulation with the state
x0(t,p).
This argument is supported only when rp
is a
stepplot
object or an impulse
object.
Dependencies
This argument is supported only when rp
is a
stepplot
object or an impulse
object.
Frequency
— Frequencies
{wmin,wmax}
| vector | []
Frequencies at which to compute the response, specified as one of the following:
Cell array of the form
{wmin,wmax}
— Compute the response at frequencies in the range fromwmin
towmax
. Ifwmax
is greater than the Nyquist frequency ofsys
, the response is computed only up to the Nyquist frequency.Vector of frequencies — Compute the response at each specified frequency. For example, use
logspace
to generate a row vector with logarithmically spaced frequency values. The vectorw
can contain both positive and negative frequencies.[]
— Automatically select frequencies based on system dynamics.
For models with complex coefficients, if you specify a frequency range of [wmin,wmax] for your plot, then in:
Log frequency scale, the plot frequency limits are set to [wmin,wmax] and the plot shows two branches, one for positive frequencies [wmin,wmax] and one for negative frequencies [–wmax,–wmin].
Linear frequency scale, the plot frequency limits are set to [–wmax,wmax] and the plot shows a single branch with a symmetric frequency range centered at a frequency value of zero.
Specify frequencies in units of rad/TimeUnit
, where
TimeUnit
is the TimeUnit
property of the
model.
Dependencies
This argument is supported only when rp
is a
bodeplot
,nicholsplot
,
nyquistplot
, or sigmaplot
object.
Version History
Introduced in R2024b
See Also
impulseplot
| initialplot
| stepplot
| lsimplot
| bodeplot
| nicholsplot
| nyquistplot
| sigmaplot
| pzplot
| iopzplot
| rlocusplot
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