Hi @Branko
What is the best way to simulate the system and ...
If you are a newbie, I'd recommend modeling the system in Simulink because it allows you to monitor the signal at each output of the block.
... find the most appropriate PID parameters?
Simulation assumes that you need to describe the system using a mathematical model. Whether it accurately represents the real physical phenomena or not is a different story. However, if the mathematical model is fairly accurate and the predicted result is acceptable to the design engineers and stakeholders, then you can apply some control design tools, as taught in the textbooks, to analytically determine the P, I, D parameters that satisfy the performance requirements.
Alternatively, you can use the PID Autotuner to adjust the PID gains for you. If the results are unsatisfactory, you can tweak some tuning parameters and then run the tuning process again.
