PI
Proportional-Integral controller
Library
Modelica/Blocks/Continuous
Description
This blocks defines the transfer function between the input u andthe output y as PI system:
1 y = k * (1 + ---) * u T*s T*s + 1 = k * ------- * u T*s
If you would like to be able to change easily between differenttransfer functions (FirstOrder, SecondOrder, ... ) by changingparameters, use the general model class TransferFunctioninstead and model a PI SISO system with parameters
b = {k*T, k}, a = {T, 0}.
Example: parameter: k = 0.3, T = 0.4 results in: 0.4 s + 1 y = 0.3 ----------- * u 0.4 s
It might be difficult to initialize the PI component in steady statedue to the integrator part.This is discussed in the description of packageContinuous.
Parameters
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
mo_k | k | Gain | Scalar | |
mo_T | T | Time Constant (T>0 required) | Scalar | |
mo_initType | initType | Type of initialization (1: no init, 2: steady state, 3: initial state, 4: initial output) | Structure | |
mo_initType/choice1 | No initialization (start values are used as guess values with fixed=false) | Number | 0 | |
mo_initType/choice2 | Steady state initialization (derivatives of states are zero) | Number | 0 | |
mo_initType/choice3 | Initialization with initial states | Number | 0 | |
mo_initType/choice4 | Initialization with initial outputs (and steady state of the states if possible) | Number | 0 | |
mo_x_start | x_start | Initial or guess value of state | Scalar | |
mo_y_start | y_start | Initial value of output | Scalar | |
mo_x | x | x | Structure | |
mo_x/fixed | fixed | Cell of scalars | true | |
mo_x/start | start | Cell of scalars |
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
mo__nmodifiers | Number of Modifiers | Specifies the number of modifiers | Number | |
mo__modifiers | Modifiers | Add new modifier | Structure | |
mo__modifiers/varname | Variable name | Cell of strings | ||
mo__modifiers/attribute | Attribute | Cell of strings | 'start' | |
mo__modifiers/value | Value |
Ports
| Name | Type | Description | IO Type | Number |
|---|---|---|---|---|
u | implicit | Connector of Real input signal | input | 1 |
y | implicit | Connector of Real output signal | output | 1 |