LabVIEW Control Design and Simulation Module

CD Convert to State-Space Model VI

  • Updated2023-03-14
  • 4 minute(s) read

CD Convert to State-Space Model VI

Owning Palette: Model Conversion VIs

Requires: Control Design and Simulation Module

Converts a system model to state-space form. This VI produces a full or minimum realization by specifying the Realization Type. Wire data to the Transfer Function Model input to determine the polymorphic instance to use or manually select the instance.

This VI converts zero-pole-gain models to transfer function models before converting a zero-pole-gain model into a state-space model.

Details  

CD Convert Transfer Function to State-Space Model

Transfer Function Model contains a mathematical representation of and information about the system this VI converts to an equivalent state-space form. In a SISO system, the degree of the numerator must be less than or equal to the degree of the denominator. In a MIMO system, the degree of all numerators must be less than or equal to the degree of their respective denominators.
Realization Type specifies the type of state-space realization to use.

0minimum—Gives a state-space realization after removing zero-pole cancellations and all states that do not affect the output of the system
1full (default)—Provides a state-space realization without reducing any states
Tolerance determines zero-pole cancellations. If the difference between the location of a pole and a zero is within the Tolerance, this VI removes the zero-pole pair if the Realization Type is minimum. The default is 0.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
State-Space Model returns the state-space representation of the given input system model. The properties are the same as that of the input model. This VI returns a state-space model in controllability form. To access and modify the data in the model, use the Model Information VIs.
error out contains error information. This output provides standard error out functionality.

CD Convert Zero-Pole-Gain Model to State-Space Model

Zero-Pole-Gain Model contains a mathematical representation of and information about the system this VI converts to an equivalent state-space form. In a SISO system, the degree of the numerator must be less than or equal to the degree of the denominator. In a MIMO system, the degree of all numerators must be less than or equal to the degree of their respective denominators.
Realization Type specifies the type of state-space realization to use.

0minimum—Gives a state-space realization after removing zero-pole cancellations and all states that do not affect the output of the system
1full (default)—Provides a state-space realization without reducing any states
Tolerance determines zero-pole cancellations. If the difference between the location of a pole and a zero is within the Tolerance, this VI removes the zero-pole pair if the Realization Type is minimum. The default is 0.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
State-Space Model returns the state-space representation of the given input system model. The properties are the same as that of the input model. This VI returns a state-space model in controllability form. To access and modify the data in the model, use the Model Information VIs.
error out contains error information. This output provides standard error out functionality.

CD Convert to State-Space Model Details

This VI supports delays. This VI transfers the delay information from the input model to the resulting model. Refer to the LabVIEW Control Design User Manual for more information about delays.

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