An open-loop transfer function, KG(s) of a unity feedback system is given by: G(s) = s²–2s+4 (s+5) (a) Sketch the Root Locus of the system for O

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O:28)

An open-loop transfer function, KG(s) of a
unity feedback system is given by:
s² –2s+4
G(s) :
(s+5)
(a) Sketch the Root Locus of the system for
O<K<∞. Show all important calculations, i.e.
asymptotes, break points on the real axis,
imaginary axis crossing points and angle of
departure or arrival, where appropriate.
(b) Determine the closed-loop dominant
poles of a system when the percent
overshoot, %OS is 5%. Indicate the closed-
loop poles on the plot and calculate the
value of K at this point.
Transcribed Image Text:An open-loop transfer function, KG(s) of a unity feedback system is given by: s² –2s+4 G(s) : (s+5) (a) Sketch the Root Locus of the system for O<K<∞. Show all important calculations, i.e. asymptotes, break points on the real axis, imaginary axis crossing points and angle of departure or arrival, where appropriate. (b) Determine the closed-loop dominant poles of a system when the percent overshoot, %OS is 5%. Indicate the closed- loop poles on the plot and calculate the value of K at this point.
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