CD Convert Continuous to Discrete VI

Control Design VI and Function

CD Convert Continuous to Discrete VI

Owning Palette: Model Conversion VIs

Installed With: Control Design and Simulation Module

Converts a continuous-time model to a discrete-time model using the Sampling Time (s) and the Method you specify. The Zero-Order-Hold conversion method supports input and output delays that are not an integer multiple of the Sampling Time (s). The data type you wire to the Continuous State-Space Model input determines the polymorphic instance to use.

Details  

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

 Place on the block diagram  Find on the Functions palette

CD Convert Continuous to Discrete (State-Space)

Matching Frequency (rad/s) specifies the frequency at which the gains of the continuous and discrete systems match. The value of this parameter must be between zero and the Nyquist frequency.

This parameter is valid only if you specify Prewarp or Matched Pole-Zero for the Method parameter. The default value is 0, which matches the discrete system to the DC gain of the continuous system.
Continuous State-Space Model is the continuous-time system model that this VI converts into a discrete-time equivalent.
Sampling Time (s) is the fixed time period between successive digital samples that a computer produces. The default is 1.
Method is the algorithm this VI uses to calculate the discrete equivalent of the continuous-time system model.

0Zero-Order-Hold (default)
1Tustin (Bilinear)
2Prewarp, where
3Forward
4Backward
5Z-Transform
6First-Order-Hold
7Matched Pole-Zero
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 exception control to treat what is normally an error as no error or to treat a warning as an error. 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.
Discrete State-Space Model is the discrete-time equivalent of the input continuous-time system model. To access and modify the data in the model, use the Model Information VIs.
Discrete IC Multiplier is the matrix P which this VI uses to convert continuous time initial conditions vector xc0 to discrete-time initial conditions vector xd0 for a state-space system.
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.

CD Convert Continuous to Discrete (Transfer Function)

Matching Frequency (rad/s) specifies the frequency at which the gains of the continuous and discrete systems match. The value of this parameter must be between zero and the Nyquist frequency.

This parameter is valid only if you specify Prewarp or Matched Pole-Zero for the Method parameter. The default value is 0, which matches the discrete system to the DC gain of the continuous system.
Continuous Transfer Function Model is the continuous-time system model that this VI converts into a discrete-time equivalent.
Sampling Time (s) is the fixed time period between successive digital samples that a computer produces. The default is 1.
Method is the algorithm this VI uses to calculate the discrete equivalent of the continuous-time system model.

0Zero-Order-Hold (default)
1Tustin (Bilinear)
2Prewarp, where
3Forward
4Backward
5Z-Transform
6First-Order-Hold
7Matched Pole-Zero
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 exception control to treat what is normally an error as no error or to treat a warning as an error. 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.
Discrete Transfer Function Model is the discrete-time equivalent of the input continuous-time system model. To access and modify the data in the model, use the Model Information VIs.
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.

CD Convert Continuous to Discrete (Zero-Pole-Gain)

Matching Frequency (rad/s) specifies the frequency at which the gains of the continuous and discrete systems match. The value of this parameter must be between zero and the Nyquist frequency.

This parameter is valid only if you specify Prewarp or Matched Pole-Zero for the Method parameter. The default value is 0, which matches the discrete system to the DC gain of the continuous system.
Continuous Zero-Pole-Gain Model is the continuous-time system model that this VI converts into a discrete-time equivalent.
Sampling Time (s) is the fixed time period between successive digital samples that a computer produces. The default is 1.
Method is the algorithm this VI uses to calculate the discrete equivalent of the continuous-time system model.

0Zero-Order-Hold (default)
1Tustin (Bilinear)
2Prewarp, where
3Forward
4Backward
5Z-Transform
6First-Order-Hold
7Matched Pole-Zero
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 exception control to treat what is normally an error as no error or to treat a warning as an error. 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.
Discrete Zero-Pole-Gain Model is the discrete-time equivalent of the input continuous-time system model. To access and modify the data in the model, use the Model Information VIs.
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.

CD Convert Continuous to Discrete Details

This VI supports delays. This VI divides the delays by the Sampling Time (s) and if the results contain residues, this VI incorporates the delay information into the resulting discrete model as long as the residue is in the input and/or outputs and you specified a value of Zero-Order-Hold for the Method parameter. Otherwise, this VI ignores the residues and gives a warning.

If you specify a value of Zero-Order-Hold for the Method parameter and some of the input and/or output delays are non-integer multiples of the Sampling Time (s), then the resulting discrete model contains n + pd + qd states.

wheren is the number of states in the system
pd is the number of inputs with delays that are non-integer multiples of the sampling time
qd is the number of outputs with delays that are non-integer multiples of the sampling time

Refer to the LabVIEW Control Design User Manual for more information about delays.