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How to determine initial condition of PID control?

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Shota Kato
Shota Kato on 25 Jan 2020
I want to do a PID control simulation considering the past input and output.
I know the initial condition of the PID controller can be determined; however, I don't know how to calculate it from the data.
An example Simulink model is attached.
The controlled object is transfer function G = 1 / (20 s^2 + 10 s + 1) and the initial output is set to 5.
The reference is initially 0 and changed to 1 at t=5, and the stop time is 50.
I want to reproduce the simulation data during t>=5 with setting stop time is 45.
How can I obtain such data?
Thank you

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