WOLFRAM SYSTEMMODELER

Derivative

Approximated derivative block

Wolfram Language

In[1]:=
SystemModel["Modelica.Blocks.Continuous.Derivative"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This blocks defines the transfer function between the input u and the output y as approximated derivative:

             k * s
     y = ------------ * u
            T * s + 1

If you would like to be able to change easily between different transfer functions (FirstOrder, SecondOrder, ... ) by changing parameters, use the general block TransferFunction instead and model a derivative block with parameters
b = {k,0}, a = {T, 1}.

If k=0, the block reduces to y=0.

Parameters (5)

k

Value: 1

Type: Real

Description: Gains

T

Value: 0.01

Type: Time (s)

Description: Time constants (T>0 required; T=0 is ideal derivative block)

initType

Value: Modelica.Blocks.Types.Init.NoInit

Type: Init

Description: Type of initialization (1: no init, 2: steady state, 3: initial state, 4: initial output)

x_start

Value: 0

Type: Real

Description: Initial or guess value of state

y_start

Value: 0

Type: Real

Description: Initial value of output (= state)

Outputs (1)

x

Type: Real

Description: State of block

Connectors (2)

u

Type: RealInput

Description: Connector of Real input signal

y

Type: RealOutput

Description: Connector of Real output signal

Used in Components (3)

Controller

Modelica.Blocks.Examples.NoiseExamples.Utilities.Parts

Simple position controller for actuator

PID

Modelica.Blocks.Continuous

PID-controller in additive description form

LimPID

Modelica.Blocks.Continuous

P, PI, PD, and PID controller with limited output, anti-windup compensation, setpoint weighting and optional feed-forward