5.2) Answer Full question (a-e) or allow someone else to get credit. Please provide answers with comments and document intermediate steps in sufficient detail. It needs to be clear what procedure you have followed in solving the problem.

5.2 Proportional controllers

For each transfer function G(s), determine the range of values (if any) of the proportional controller gains K such that the negative feedback interconnection makes the system BIBO stable

a) G(s) = -1 (s + 1)(8 +2) b) (s + 1)(s 10) G(s) = (s 1)(s 3)(s +3) c) G(s) = 1 (s 3)(s +3) d) G(s) = = 1 (s 3)(s+5) e) G(s) = 120(s + 1) (s + 2)(8 + 3)(8 + 4)(8 + 5) a) G(s) = -1 (s + 1)(8 +2) b) (s + 1)(s 10) G(s) = (s 1)(s 3)(s +3) c) G(s) = 1 (s 3)(s +3) d) G(s) = = 1 (s 3)(s+5) e) G(s) = 120(s + 1) (s + 2)(8 + 3)(8 + 4)(8 + 5)