A control system, as shown in the following figure, has a process s+1 G(s) s(s-1)(s-2) Gerso Yis) (a) Let Gc(s) = K. How many lines/loci in the plot of root locus? And what are the starting and ending locations of the lines? State infinite if needed. (b) When G.(s) = K, sketch the root locus. (c) When G.(s) = K, show that the system is always unstable by sketching the root locus using the 10 rules described in class.

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A control system, as shown in the following figure, has a process
s+1
G(s)
s(s-1)(s-2)'
→| Grs)
UIS)
Yis)
(a) Let G.(s) = K. How many lines/loci in the plot of root locus? And what are
the starting and ending locations of the lines? State infinite if needed.
(b) When G.(s) = K, sketch the root locus.
(c) When G.(s) = K, show that the system is always unstable by sketching the
root locus using the 10 rules described in class.
Transcribed Image Text:A control system, as shown in the following figure, has a process s+1 G(s) s(s-1)(s-2)' →| Grs) UIS) Yis) (a) Let G.(s) = K. How many lines/loci in the plot of root locus? And what are the starting and ending locations of the lines? State infinite if needed. (b) When G.(s) = K, sketch the root locus. (c) When G.(s) = K, show that the system is always unstable by sketching the root locus using the 10 rules described in class.
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