Answer Happy

1. below is a root locus diagram depicting the poles of a closed-loop transfer function as the con- troller gain K > O increases in magnitude. root locus 1.0 X poles 0 eros 0.5 E 0,0 x -0.5 -1.0 -10 Re for the questions below, answer true or false and justify your answer to receive any credit. (a) the closed-loop response is stable for all K>0. (b) the closed-loop response exhibits oscillations for some K. > 0, but not all. (c) the closed-loop response exhibits oscillations when K, = 0+ (small but non-zero K.) (d) if present in the closed-loop response, decaying oscillations will always decay more slowly if we increase K (e) if present in the closed-loop response, the frequency of the oscillations will always increase if we increase K.