How can I output the bode plot of a closed control circuit in simulink?

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Currently, we are learning about control systems in school. For example, we have a plant given and are supposed to find a controller.
I want to check my calculations by using a simulation tool.
Because the control circuit is closed, I can not simulate it using my easier tool from school.
Is it maybe possible to output the bode plot of a closed control circuit in simulink? Otherwise, my idea would be to take the FFT of input and output signals and divide them by each other, but as far as I know it would be more complicated, you would have to do some kind of sweep.
This would be an example of a possible closed control circuit which I would like to find the bode plot of:
Thanks for any answers or ideas on how to output the bode plot of a closed control circuit in simulink!

Accepted Answer

Sam Chak
Sam Chak on 30 Jun 2022
Hi @3a4
In Calculus, we learned Laplace Transform as a strategy for resolving linear differential equation.
Applying Laplace Transform to the closed loop yields
You can find examples here:

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