$-6-$

ME$3017$ Practice Final Exam

NAME

Problem IV: The feedback block diagram below depicts a PD control system for an inve:

Is the open$-$loop system $(1)/($s$^(2)-1)$ stable? Why?

Find the gains KP and KD$\backslash$zeta $=1(1)/(2)$ seconds.

The stead$-$state error due to a constant reference input is less than $5\%.$

Find and sketch the resulting unit step response of the system. Hint: To get the correct response it is easier to find y$($t$)$ directly using Inverse Laplace Transform. $(8$ pts $.)$