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You can develop transfer function of second order in various ways. The use of a pictorial approach to system modelling is one of the suitable options to use.

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How to estimate 2nd order transfer function given step response plot?

You might use the general FFT method in system identification:At least you can start with this:1. Calculate the FFT of your output (the step response plot)2. You know what the FFT of your input (the heaviside function) is: 1/2*pi*f3. devide the first by the second and end up eith the calculated transfer function.4. Plot the Bode plot (magnitude and phase / frequency)5. Fit it with a transfer function that you know and has second order characteristics. A system with two poles with or without a zero. stuff like thatGood luck!


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