How to find poles of transfer function by looking at the step response?

1. How do you find the transfer function from a step response?
2. What are the poles of the following transfer function?
3. How do you calculate step response?

How do you find the transfer function from a step response?

So for any given system, if we simply multiply it's transfer function by 1/s (which means putting an integrator in cascade or series with the system), the output defined by the inverse Laplace Transform of that result will be the step response! It's that simple.

What are the poles of the following transfer function?

The p_i terms are the poles of the transfer function; as s→p_i the denominator polynomial is zero, so the transfer function goes to infinity.

How do you calculate step response?

To find the unit step response, multiply the transfer function by the unit step (1/s) and the inverse Laplace transform using Partial Fraction Expansion..