SI Estimate State-Space Model from FRF VI

System Identification VIs

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SI Estimate State-Space Model from FRF VI

Owning Palette: Frequency-Domain Model Estimation VIs

Installed With: System Identification Toolkit

Estimates the parameters of a discrete state-space (SS) model for an unknown system by using a frequency response function (FRF). Wire data to the FRF magnitude and FRF phase inputs to determine the polymorphic instance to use or manually select the instance.

You can obtain the FRF of a plant by using the SI Estimate FRF VI. You can wire the FRF magnitude and FRF phase outputs of the SI Estimate FRF VI to the FRF magnitude and FRF phase inputs of the SI Estimate State-Space Model from FRF VI.

Details  Examples

Use the pull-down menu to select an instance of this VI.

 Place on the block diagram  Find on the Functions palette

SI Estimate Discrete State-Space Model from FRF (SISO Arbitrary)

structure selector specifies whether this VI computes the D matrix and the initial states of the state-space model you want to estimate.
D matrix? specifies whether this VI estimates the D matrix of the model. If D matrix? is TRUE, this VI estimates the D matrix. If D matrix? is FALSE, the D matrix is 0. The default is FALSE.
initial states? specifies whether this VI estimates the initial states of the model. If initial states? is TRUE, this VI estimates the initial states. If initial states? is FALSE, this VI sets the value of initial states to 0. The default is FALSE.
FRF format specifies the format of the FRF magnitude and the FRF phase.
Note  If you use the SI Estimate FRF VI to estimate the FRF, specify the same FRF format settings for this parameter as you do for the SI Estimate FRF VI.
dB on? specifies whether magnitude is in decibels or in a linear scale. The default is FALSE, which specifies that this VI expresses magnitude in a linear scale.
unwrap phase? specifies whether the phase is unwrapped. The default is FALSE, which specifies that the phase is wrapped.
convert to degree? specifies whether the unit of phase is in radians or degrees. The default is FALSE, which means the phase is in radians.
FRF magnitude specifies the magnitude of the averaged frequency response and frequency scale.
frequency specifies the frequencies, in hertz, at which this VI evaluates the averaged frequency response.
magnitude specifies the magnitude of the averaged frequency response. Use dB on? to specify the unit of magnitude.
FRF phase specifies the phase of the averaged frequency response and frequency scale.
frequency specifies the frequencies, in hertz, at which this VI evaluates the averaged frequency response.
phase specifies the phase of the averaged frequency response. Use unwrap phase? to specify whether the phase is unwrapped. Use convert to degrees? to specify the unit of phase.
number of states specifies the number of states of the system model. The value of number of states must be greater than 0. The default is 4.
error in describes error conditions that occur before this VI or function runs. The default is no error. If an error occurred before this VI or function runs, the VI or function passes the error in value to error out. This VI or function runs normally only if no error occurred before this VI or function runs. If an error occurs while this VI or function runs, it runs normally and sets its own error status in error out. Use the Simple Error Handler or General Error Handler VIs to display the description of the error code. Use error in and error out to check errors and to specify execution order by wiring error out from one node to error in of the next node.
status is TRUE (X) if an error occurred before this VI or function ran or FALSE (checkmark) to indicate a warning or that no error occurred before this VI or function ran. The default is FALSE.
code is the error or warning code. The default is 0. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source specifies the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning. The default is an empty string.
sampling rate specifies the sampling frequency, in hertz, of the estimated discrete system model. The value of sampling rate must be greater than 0. The default value is twice the highest frequency of the FRF data.
noise subspace specifies the percentage of the noise subspace in the whole space, which is the combination of the signal subspace and the noise subspace. The default is 50.
system model out returns information about the model structure, nominal or estimated parameters, identification result, and so on. Use the Model Management VIs to retrieve the information system model out contains.
Note  You can use a customized system model probe to view model information that flows through system model wires when you debug a block diagram created with the System Identification VIs. Right-click a system model wire and select Custom Probe»SI System Model from the shortcut menu to use the system model probe.
coefficients of state-space model returns the coefficients of the state-space model.
A returns the A coefficients of the system model.
B returns the B coefficients of the system model.
C returns the C coefficients of the system model.
D returns the D coefficient of the system model.
initial states returns the initial states of the state-space model. The length of initial states equals the number of states of the system model.
error out contains error information. If error in indicates that an error occurred before this VI or function ran, error out contains the same error information. Otherwise, it describes the error status that this VI or function produces. Right-click the error out front panel indicator and select Explain Error from the shortcut menu for more information about the error.
status is TRUE (X) if an error occurred or FALSE (checkmark) to indicate a warning or that no error occurred.
code is the error or warning code. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source describes the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning.

SI Estimate Discrete State-Space Model from FRF (SISO Uniform)

structure selector specifies whether this VI computes the D matrix and the initial states of the state-space model you want to estimate.
D matrix? specifies whether this VI estimates the D matrix of the model. If D matrix? is TRUE, this VI estimates the D matrix. If D matrix? is FALSE, the D matrix is 0. The default is FALSE.
initial states? specifies whether this VI estimates the initial states of the model. If initial states? is TRUE, this VI estimates the initial states. If initial states? is FALSE, this VI sets the value of initial states to 0. The default is FALSE.
FRF format specifies the format of the FRF magnitude and the FRF phase.
Note  If you use the SI Estimate FRF VI to estimate the FRF, specify the same FRF format settings for this parameter as you do for the SI Estimate FRF VI.
dB on? specifies whether magnitude is in decibels or in a linear scale. The default is FALSE, which specifies that this VI expresses magnitude in a linear scale.
unwrap phase? specifies whether the phase is unwrapped. The default is FALSE, which specifies that the phase is wrapped.
convert to degree? specifies whether the unit of phase is in radians or degrees. The default is FALSE, which means the phase is in radians.
FRF magnitude specifies the magnitude of the averaged frequency response and frequency scale.
f0 specifies the starting frequency of the spectrum, in hertz.
df specifies the frequency increment of the spectrum, in hertz.
magnitude specifies the magnitude of the averaged frequency response. Use dB on? to specify the unit of magnitude.
FRF phase specifies the phase of the averaged frequency response and frequency scale.
f0 specifies the starting frequency of the spectrum, in hertz.
df specifies the frequency increment of the spectrum, in hertz.
phase specifies the phase of the averaged frequency response. Use unwrap phase? to specify whether the phase is unwrapped. Use convert to degrees? to specify the unit of phase.
number of states specifies the number of states of the system model. The value of number of states must be greater than 0. The default is 4.
error in describes error conditions that occur before this VI or function runs. The default is no error. If an error occurred before this VI or function runs, the VI or function passes the error in value to error out. This VI or function runs normally only if no error occurred before this VI or function runs. If an error occurs while this VI or function runs, it runs normally and sets its own error status in error out. Use the Simple Error Handler or General Error Handler VIs to display the description of the error code. Use error in and error out to check errors and to specify execution order by wiring error out from one node to error in of the next node.
status is TRUE (X) if an error occurred before this VI or function ran or FALSE (checkmark) to indicate a warning or that no error occurred before this VI or function ran. The default is FALSE.
code is the error or warning code. The default is 0. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source specifies the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning. The default is an empty string.
sampling rate specifies the sampling frequency, in hertz, of the estimated discrete system model. The value of sampling rate must be greater than 0. The default value is twice the highest frequency of the FRF data.
noise subspace specifies the percentage of the noise subspace in the whole space, which is the combination of the signal subspace and the noise subspace. The default is 50.
system model out returns information about the model structure, nominal or estimated parameters, identification result, and so on. Use the Model Management VIs to retrieve the information system model out contains.
Note  You can use a customized system model probe to view model information that flows through system model wires when you debug a block diagram created with the System Identification VIs. Right-click a system model wire and select Custom Probe»SI System Model from the shortcut menu to use the system model probe.
coefficients of state-space model returns the coefficients of the state-space model.
A returns the A coefficients of the system model.
B returns the B coefficients of the system model.
C returns the C coefficients of the system model.
D returns the D coefficient of the system model.
initial states returns the initial states of the state-space model. The length of initial states equals the number of states of the system model.
error out contains error information. If error in indicates that an error occurred before this VI or function ran, error out contains the same error information. Otherwise, it describes the error status that this VI or function produces. Right-click the error out front panel indicator and select Explain Error from the shortcut menu for more information about the error.
status is TRUE (X) if an error occurred or FALSE (checkmark) to indicate a warning or that no error occurred.
code is the error or warning code. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source describes the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning.

SI Estimate Discrete State-Space Model from FRF (MIMO Arbitrary)

structure selector specifies whether this VI computes the D matrix and the initial states of the state-space model you want to estimate.
D matrix? specifies whether this VI estimates the D matrix of the model. If D matrix? is TRUE, this VI estimates the D matrix. If D matrix? is FALSE, the D matrix is 0. The default is FALSE.
initial states? specifies whether this VI estimates the initial states of the model. If initial states? is TRUE, this VI estimates the initial states. If initial states? is FALSE, this VI sets the value of initial states to 0. The default is FALSE.
FRF format specifies the format of the FRF magnitude and the FRF phase.
Note  If you use the SI Estimate FRF VI to estimate the FRF, specify the same FRF format settings for this parameter as you do for the SI Estimate FRF VI.
dB on? specifies whether magnitude is in decibels or in a linear scale. The default is FALSE, which specifies that this VI expresses magnitude in a linear scale.
unwrap phase? specifies whether the phase is unwrapped. The default is FALSE, which specifies that the phase is wrapped.
convert to degree? specifies whether the unit of phase is in radians or degrees. The default is FALSE, which means the phase is in radians.
FRF magnitude specifies the magnitude of the averaged frequency response and frequency scale.
frequency specifies the frequencies, in hertz, at which this VI evaluates the averaged frequency response.
magnitude specifies the magnitude of the averaged frequency response. Use dB on? to specify the unit of magnitude.
FRF phase specifies the phase of the averaged frequency response and frequency scale.
frequency specifies the frequencies, in hertz, at which this VI evaluates the averaged frequency response.
phase specifies the phase of the averaged frequency response. Use unwrap phase? to specify whether the phase is unwrapped. Use convert to degrees? to specify the unit of phase.
number of states specifies the number of states of the system model. The value of number of states must be greater than 0. The default is 4.
error in describes error conditions that occur before this VI or function runs. The default is no error. If an error occurred before this VI or function runs, the VI or function passes the error in value to error out. This VI or function runs normally only if no error occurred before this VI or function runs. If an error occurs while this VI or function runs, it runs normally and sets its own error status in error out. Use the Simple Error Handler or General Error Handler VIs to display the description of the error code. Use error in and error out to check errors and to specify execution order by wiring error out from one node to error in of the next node.
status is TRUE (X) if an error occurred before this VI or function ran or FALSE (checkmark) to indicate a warning or that no error occurred before this VI or function ran. The default is FALSE.
code is the error or warning code. The default is 0. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source specifies the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning. The default is an empty string.
sampling rate specifies the sampling frequency, in hertz, of the estimated discrete system model. The value of sampling rate must be greater than 0. The default value is twice the highest frequency of the FRF data.
noise subspace specifies the percentage of the noise subspace in the whole space, which is the combination of the signal subspace and the noise subspace. The default is 50.
system model out returns information about the model structure, nominal or estimated parameters, identification result, and so on. Use the Model Management VIs to retrieve the information system model out contains.
Note  You can use a customized system model probe to view model information that flows through system model wires when you debug a block diagram created with the System Identification VIs. Right-click a system model wire and select Custom Probe»SI System Model from the shortcut menu to use the system model probe.
coefficients of state-space model returns the coefficients of the state-space model.
A returns the A coefficients of the system model.
B returns the B coefficients of the system model.
C returns the C coefficients of the system model.
D returns the D coefficient of the system model.
initial states returns the initial states of the state-space model. The length of initial states equals the number of states of the system model.
error out contains error information. If error in indicates that an error occurred before this VI or function ran, error out contains the same error information. Otherwise, it describes the error status that this VI or function produces. Right-click the error out front panel indicator and select Explain Error from the shortcut menu for more information about the error.
status is TRUE (X) if an error occurred or FALSE (checkmark) to indicate a warning or that no error occurred.
code is the error or warning code. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source describes the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning.

SI Estimate Discrete State-Space Model from FRF (MIMO Uniform)

structure selector specifies whether this VI computes the D matrix and the initial states of the state-space model you want to estimate.
D matrix? specifies whether this VI estimates the D matrix of the model. If D matrix? is TRUE, this VI estimates the D matrix. If D matrix? is FALSE, the D matrix is 0. The default is FALSE.
initial states? specifies whether this VI estimates the initial states of the model. If initial states? is TRUE, this VI estimates the initial states. If initial states? is FALSE, this VI sets the value of initial states to 0. The default is FALSE.
FRF format specifies the format of the FRF magnitude and the FRF phase.
Note  If you use the SI Estimate FRF VI to estimate the FRF, specify the same FRF format settings for this parameter as you do for the SI Estimate FRF VI.
dB on? specifies whether magnitude is in decibels or in a linear scale. The default is FALSE, which specifies that this VI expresses magnitude in a linear scale.
unwrap phase? specifies whether the phase is unwrapped. The default is FALSE, which specifies that the phase is wrapped.
convert to degree? specifies whether the unit of phase is in radians or degrees. The default is FALSE, which means the phase is in radians.
FRF magnitude specifies the magnitude of the averaged frequency response and frequency scale.
f0 specifies the starting frequency of the spectrum, in hertz.
df specifies the frequency increment of the spectrum, in hertz.
magnitude specifies the magnitude of the averaged frequency response. Use dB on? to specify the unit of magnitude.
FRF phase specifies the phase of the averaged frequency response and frequency scale.
f0 specifies the starting frequency of the spectrum, in hertz.
df specifies the frequency increment of the spectrum, in hertz.
phase specifies the phase of the averaged frequency response. Use unwrap phase? to specify whether the phase is unwrapped. Use convert to degrees? to specify the unit of phase.
number of states specifies the number of states of the system model. The value of number of states must be greater than 0. The default is 4.
error in describes error conditions that occur before this VI or function runs. The default is no error. If an error occurred before this VI or function runs, the VI or function passes the error in value to error out. This VI or function runs normally only if no error occurred before this VI or function runs. If an error occurs while this VI or function runs, it runs normally and sets its own error status in error out. Use the Simple Error Handler or General Error Handler VIs to display the description of the error code. Use error in and error out to check errors and to specify execution order by wiring error out from one node to error in of the next node.
status is TRUE (X) if an error occurred before this VI or function ran or FALSE (checkmark) to indicate a warning or that no error occurred before this VI or function ran. The default is FALSE.
code is the error or warning code. The default is 0. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source specifies the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning. The default is an empty string.
sampling rate specifies the sampling frequency, in hertz, of the estimated discrete system model. The value of sampling rate must be greater than 0. The default value is twice the highest frequency of the FRF data.
noise subspace specifies the percentage of the noise subspace in the whole space, which is the combination of the signal subspace and the noise subspace. The default is 50.
system model out returns information about the model structure, nominal or estimated parameters, identification result, and so on. Use the Model Management VIs to retrieve the information system model out contains.
Note  You can use a customized system model probe to view model information that flows through system model wires when you debug a block diagram created with the System Identification VIs. Right-click a system model wire and select Custom Probe»SI System Model from the shortcut menu to use the system model probe.
coefficients of state-space model returns the coefficients of the state-space model.
A returns the A coefficients of the system model.
B returns the B coefficients of the system model.
C returns the C coefficients of the system model.
D returns the D coefficient of the system model.
initial states returns the initial states of the state-space model. The length of initial states equals the number of states of the system model.
error out contains error information. If error in indicates that an error occurred before this VI or function ran, error out contains the same error information. Otherwise, it describes the error status that this VI or function produces. Right-click the error out front panel indicator and select Explain Error from the shortcut menu for more information about the error.
status is TRUE (X) if an error occurred or FALSE (checkmark) to indicate a warning or that no error occurred.
code is the error or warning code. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source describes the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning.

SI Estimate State-Space Model from FRF Details

If the frequency-domain data you wire to the FRF magnitude and FRF phase inputs is spaced uniformly, use the Uniform polymorphic instance of this VI. In this situation, you must specify the starting frequency f0 and the frequency increment df. If this data is spaced arbitrarily, use the Arbitrary polymorphic instance of this VI.

Note  You also can use the Arbitrary polymorphic instance if the frequency-domain data you wire to the FRF magnitude and FRF phase inputs is spaced uniformly.

Examples

Refer to the following VIs for examples of using the SI Estimate State-Space Model from FRF VI:

  • Estimate State-Space Model from FRFs VI: labview\examples\System Identification\Getting Started\Frequency Domain Identification.llb

     Open example  Browse related examples

  • Flexible Arm (Frequency Domain) VI: labview\examples\System Identification\Industry Applications\Mechanical Systems.llb

     Open example  Browse related examples

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