Consider the fluid temperature control of a parabolic trough collector (Camocho, 2012) embedded in the unity feedback structure as shown in Figure P8.3, where the open-loop plant transfer function is given by

Approximating the time-delay term with

make a sketch of the resulting root locus. Mark where appropriate in the plot and find:

a. The asymptotes and their intersection with the real axis;

b. The break-in and breakaway points.

c. The range of K for closed-loop stability;

d. The value of K that will make the system oscillate and the oscillation frequency.

Transcribed Image Text:

137.2 x 10-K -39s G(s) = s2 +0.0224s + 196 x 10-6