What is the purpose of the transfer function in PID?

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In a SciLab project wherein they build a PID controller they include a CLR/continuous transfer function between the output of the PID and the multiplexer, which was used to combine the step and the PID output for the graph. I was curious as to what the transfer function was supposed to do and what purpose it served in the project?

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The project simulates a PID controller for a specific process, namely the process whose transfer function is $\frac{4}{s^2 + s}$.

  • The PID controller block, which defines the controller, has a description that should help you understand the overall setup of the simulation, including the role of the CLR block.

  • The CLR block (see description) defines the process being controlled, by specifying its transfer function.