4.
Determine the transfer functions, P(s) and G(s) below.
(a) A unit step is applied at the input of an open loop plant, \newline P(s), at time $t = 0$. The measured response is shown on \newline the right. Determine the transfer function, P(s).
(b) When a step of magnitude 2 is applied to the input of a \newline plant, G(s), the steady state output is 10. When a \newline sinusoid of amplitude 2 and frequency 8 rad/sec is \newline applied, the phase lag at the output is 90° and the output \newline amplitude is 15. Assume the system is second order \newline system and has no finite zeros. Find the transfer \newline function, G(s).