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Control theory: control loop simulation

First you have to define the control loop. This is done by selecting the control element types in the table below. The control elements time and gain parameters can be changed in the columns next to the control element type. The Start button is used to draw the control loop step response.

Controller parameters

Controller	Parameter Kp	Parameter Ki	Parameter Kd	Limit u min	Limit u max	Transfer function
PID						$$K_p + \frac{K_i}{s} +K_d \cdot s$$

Control path parameters

Number	Control element	Parameter K	Parameter T	Parameter D	Transfer function
1	none P PT1 PT2 dead time I D PD1
2	none P PT1 PT2 dead time I D PD1
3	none P PT1 PT2 dead time I D PD1
4	none P PT1 PT2 dead time I D PD1

Step response simulation parameters

Step height
Step time
Simulation end time

Show 1st derivative Show 2nd derivative

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Download source code of the used algorithms.