Root Locus - 3
Example 1
For this system, answer the following questions:
1) Make a pole/zero plot.
2) How many closed-loop poles are there?
3) What are the closed-loop poles for K = 0?
4) What are the closed-loop poles when K = ¥?
5) Are there any infinite closed-loop poles for any K, 0 <= K <= ¥?
6) Make a guess at the system's root locus and draw it in on your pole/zero plot.
7) Is the system oscillatory and, if so, for what values of K?