Specify a tracking requirement on a time-domain signal. You
can then optimize the model response to track the reference using sdo.optimize.
You can specify an equality, upper or lower bound requirement.
Construction
track_req = sdo.requirements.SignalTracking creates
an sdo.requirements.SignalTracking object and assigns
default values to its properties.
track_req =
sdo.requirements.SignalTracking(Name,Value) uses
additional options specified by one or more Name,Value pair arguments.
Name is a property name
and Value is the corresponding
value. Name must appear inside
single quotes (''). You can specify
several name-value pair arguments in any order as Name1,Value1,...,NameN,ValueN.
Input Arguments
Name-Value Pair Arguments
Specify optional comma-separated pairs of Name,Value arguments.
Name is the argument
name and Value is the corresponding
value. Name must appear
inside single quotes (' ').
You can specify several name and value pair
arguments in any order as Name1,Value1,...,NameN,ValueN.
'AbsTol'
Absolute tolerance used to determine bounds as the signal approaches
the reference signal. The bounds on the reference signal are given
by:
y_{u} =
(1 + RelTol)y_{r} + AbsTol
y_{l} =
(1 –RelTol)y_{r} – AbsTol
where y_{r} is the value
of the reference at a certain time, y_{u} and y_{l} are
the upper and lower tolerance bounds corresponding to that time point.
Default: 0
'Description'
Requirement description. Must be a string.
Default: ''
'InterpolationTimes'
Time points to use when comparing reference and testpoint signals.
Linear interpolation is used to compare the signals at the same timepoints.
Must be one of the following strings:
'Reference only' — Compare
the signals at the time points of the reference signal only
'Testpoint only' — Compare
the signals at the time points of the testpoint signal only
'Reference and Testpoint' —
Compare the signals at the time points of both the reference and
testpoint signals
Default: 'Reference only'
'Method'
Algorithm for evaluating the requirement when the Type property is '=='.
When the requirement is evaluated using evalRequirement, the software
computes the error between the reference and testpoint signals. This
property specifies how the error signal e(t) =
y_{s}(t)–y_{r}(t) should
be processed.
Must be one of the following strings:
'SSE'
'SAE'
'Residuals'
Default: 'SSE'
'Name'
Requirement name. Must be a string.
Default: ''
'Normalize'
Enable or disable normalization when evaluating the requirement.
The maximum absolute value of the reference signal is used for normalization.
Must be 'on' or 'off'.
Default: 'on'
'ReferenceSignal'
Reference signal to track. Must be a MATLAB^{®}timeseries object
with real finite data points.
Default: [1x1 timeseries]
'RelTol'
Relative tolerance used to determine bounds as the signal approaches
the reference signal. The bounds on the reference signal are given
by:
y_{u} =
(1 + RelTol)y_{r} + AbsTol
y_{l} =
(1 — RelTol)y_{r}— AbsTol
Default: 0
'RobustCost'
Enable or disable robust treatment of outliers when evaluating
the requirement. The software uses a Huber loss function to handle
the outliers in the cost function and improves the fit quality. This
option reduces the influence of outliers on the estimation without
you manually modifying your data.
Must be one of the following:
'on' — When you call the evalRequirement method, the software
uses a Huber loss function to evaluate the cost for the tracking error
outliers. The tracking error is calculated as e(t)=y_{ref}(t)-y_{test}(t).
The software uses the error statistics to identify the outliers.
The exact cost function used, F(x),
depends on the requirement evaluation Method.
Method Name
Cost
Function for Nonoutliers
Cost Function
for Outliers
'SSE'
NOL is
the set of nonoutlier samples.
w is
a linear weight. OL is the set of outlier samples.
'SAE'
NOL is
the set of nonoutlier samples.
w is
a constant value. OL is the set of outlier samples.
'Residuals'
The software does not remove
the outliers.
N is
the number of samples.
'off'
Default: 'off'
'Type'
Tracking requirement type. Must be one of the following strings:
'==' — Tracking objective.
'<=' — Upper bound
'>=' — Lower bound
Default: '=='
'Weights'
Weights to use when evaluating the tracking error between the
reference and testpoint signals. Use weights to increase or decrease
the significance of different time points.
Must be real finite positive vector with the same number of
elements as the Time property of the MATLAB timeseries object
in the ReferenceSignal property.
Properties
AbsTol
Absolute tolerance used to determine bounds as the signal approaches
the reference signal. The bounds on the reference signal are given
by:
y_{u} =
(1 + RelTol)y_{r} + AbsTol
y_{l} =
(1 –RelTol)y_{r} – AbsTol
where y_{r} is the value
of the reference at a certain time, y_{u} and y_{l} are
the upper and lower tolerance bounds corresponding to that time point.
Default: 0
Description
Requirement description. Must be a string.
Default: ''
InterpolationTimes
Time points to use when comparing reference and testpoint signals.
Linear interpolation is used to compare the signals at the same timepoints.
Must be one of the following strings:
'Reference only' — Compare
the signals at the time points of the reference signal only
'Testpoint only' — Compare
the signals at the time points of the testpoint signal only
'Reference and Testpoint' —
Compare the signals at the time points of both the reference and
testpoint signals
Default: 'Reference only'
Method
Algorithm for evaluating the requirement when the Type property is '=='.
When the requirement is evaluated using evalRequirement, the software
computes the error between the reference and testpoint signals. This
property specifies how the error signal e(t) =
y_{s}(t)–y_{r}(t) should
be processed.
Must be one of the following strings:
'SSE'
'SAE'
'Residuals'
Default: 'SSE'
Name
Requirement name. Must be a string.
Default: ''
Normalize
Enable or disable normalization when evaluating the requirement.
The maximum absolute value of the reference signal is used for normalization.
Must be 'on' or 'off'.
Default: 'on'
ReferenceSignal
Reference signal to track. Must be a MATLAB timeseries object
with real finite data points.
Default: [1x1 timeseries]
RelTol
Relative tolerance used to determine bounds as the signal approaches
the reference signal. The bounds on the reference signal are given
by:
y_{u} =
(1 + RelTol)y_{r} + AbsTol
y_{l} =
(1 — RelTol)y_{r}— AbsTol
Default: 0
RobustCost
Enable or disable robust treatment of outliers when evaluating
the requirement. The software uses a Huber loss function to handle
the outliers in the cost function and improves the fit quality. This
option reduces the influence of outliers on the estimation without
you manually modifying your data.
Must be one of the following:
'on' — When you call the evalRequirement method, the software
uses a Huber loss function to evaluate the cost for the tracking error
outliers. The tracking error is calculated as e(t)=y_{ref}(t)-y_{test}(t).
The software uses the error statistics to identify the outliers.
The exact cost function used, F(x),
depends on the requirement evaluation Method.
Method Name
Cost
Function for Nonoutliers
Cost Function
for Outliers
'SSE'
NOL is
the set of nonoutlier samples.
w is
a linear weight. OL is the set of outlier samples.
'SAE'
NOL is
the set of nonoutlier samples.
w is
a constant value. OL is the set of outlier samples.
'Residuals'
The software does not remove
the outliers.
N is
the number of samples.
'off'
Default: 'off'
Type
Tracking requirement type. Must be one of the following strings:
'==' — Tracking objective.
'<=' — Upper bound
'>=' — Lower bound
Default: '=='
Weights
Weights to use when evaluating the tracking error between the
reference and testpoint signals. Use weights to increase or decrease
the significance of different time points.
Must be real finite positive vector with the same number of
elements as the Time property of the MATLAB timeseries object
in the ReferenceSignal property.