WOLFRAM SYSTEM MODELER
PIDiscrete-time PI controller with clocked input and output signals (for periodic and aperiodic systems using the parameterization of the continuous PI controller) |
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Wolfram Language
In[1]:=
SystemModel["Modelica.Clocked.RealSignals.NonPeriodic.PI"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Discrete-time PI controller that has been derived from the continuous-time PI controller
1
y = k * (1 + ---) * u
T*s
T*s + 1
= k * ------- * u
T*s
by using the implicit Euler discretization formula. The block is parametrized with the gain k and the time constant T of the continuous PI block. As a result, the discrete-time form of the PI controller depends explicitly on the sample time of the controller and changing this sample time, will give still a similar performance.
Parameters (2)
| k |
Value: Type: Real Description: Gain of continuous PI controller |
|---|---|
| T |
Value: Type: Real Description: Time constant of continuous PI controller |
Outputs (1)
| x |
Type: Real Description: Discrete PI state |
|---|
Connectors (2)
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u |
Type: RealInput Description: Connector of clocked, Real input signal |
|---|---|---|
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y |
Type: RealOutput Description: Connector of clocked, Real output signal |
Used in Examples (6)
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Modelica.Clocked.Examples.SimpleControlledDrive Simple controlled drive with discrete controller (period is used in the controller) |
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ExactlyClockedWithDiscreteController Modelica.Clocked.Examples.SimpleControlledDrive Simple controlled drive with discrete controller and exact periodic clocks (period is used in the controller) |
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Modelica.Clocked.Examples.SimpleControlledDrive Simple controlled drive with discrete controller and simulated AD and DA effects |
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Modelica.Clocked.Examples.CascadeControlledDrive Drive with clocked cascade controller where clocks are defined with sub-sampling and partitions with super-sampling |
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Modelica.Clocked.Examples.CascadeControlledDrive Drive with clocked cascade controller where fastest partition is defined with a clock and slower partition is defined with super-sampling |
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Modelica.Clocked.Examples.CascadeControlledDrive Drive with clocked cascade controller where all partitions are defined with exact (integer) clock that need to be compatible to each other |