SecondOrder
Second order transfer function block (= 2 poles)
Library
Blocks/Continuous
Description
This blocks defines the transfer function between the input u and the output y as second order system:
k
y = ---------------------------------------- * u
( s / w )^2 + 2*D*( s / w ) + 1
If you would like to be able to change easily between different
transfer functions (FirstOrder, SecondOrder, ... ) by changing
parameters, use the general model class TransferFunction
instead and model a second order SISO system with parameters
b = {k}, a = {1/w^2, 2*D/w, 1}.
Example:
parameter: k = 0.3, w = 0.5, D = 0.4
results in:
0.3
y = ------------------- * u
4.0 s^2 + 1.6 s + 1
Parameters
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
mo_k | k | Gain | Scalar | |
mo_w | w | Angular frequency | Scalar | |
mo_D | D | Damping | Scalar | |
mo_initType | initType | Type of initialization (1: no init, 2: steady state, 3/4: 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_y_start | y_start | Initial or guess value of output (= state) | Scalar | |
mo_yd_start | yd_start | Initial or guess value of derivative of output (= state) | Scalar |
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
mo_u | u | u | Structure | |
mo_u/fixed | fixed | Cell of scalars | true | |
mo_u/start | start | Cell of scalars | ||
mo_y | y | y | Structure | |
mo_y/fixed | fixed | Cell of scalars | true | |
mo_y/start | start | Cell of scalars | ||
mo_yd | yd | yd | Structure | |
mo_yd/fixed | fixed | Cell of scalars | true | |
mo_yd/start | start | Cell of scalars |
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 |