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I am trying to approximate a transfer function of a system. The system is a linear actuator, connected to a feedback potentiometer. The actuator has a mass on it. The following figure is a step response, with 24 V as input, and the potentiometer position as output.enter image description here

by this, I found out it is totally impossible to approximate this system as a first or second order system. Is there a way to experimentally find an approximation(I mean transfer function) of this behavior?

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  • \$\begingroup\$ If I had a linear actuator with that response I'd want my money back. \$\endgroup\$
    – Andy aka
    Commented Nov 28, 2018 at 11:41
  • \$\begingroup\$ @Andyaka, one day I took the load off, and I did the experiment. I did not see this behavior. however, I saw that it reaches the steady state so fast. Tae is almost nothing. \$\endgroup\$
    – nikki2
    Commented Nov 28, 2018 at 15:08

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You can use give an impulse input to the system. Observe the output, extract the equation and finally take the laplace transform to get the transfer function.

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