The control system G(s) = Kp / s (s+2) (s+6) has a unity feedback a. Kp is variable, discuss stability by using Routh Hurwitz method. Mark the poles of the system on root-locus curve below.  b. When Kp = 26.7 , roots of the characteristic equation becomes s1= -0.6-1.89i, s2= - 0.6+1.89i and s3= -6.8. Are you happy about this case? How do you evaluate, why ? c. How the root locus and step response would be effected by adding a controller Gc = Kp ( s + 0.5)2 / s . Give a comment about the addition of Gc on root locus and on step response.

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The control system G(s) = Kp / s (s+2) (s+6) has a unity feedback

a. Kp is variable, discuss stability by using Routh Hurwitz method. Mark the poles of
the system on root-locus curve below. 

b. When Kp = 26.7 , roots of the characteristic equation becomes s1= -0.6-1.89i, s2= -
0.6+1.89i and s3= -6.8. Are you happy about this case? How do you evaluate,
why ?

c. How the root locus and step response would be effected by adding a controller Gc
= Kp ( s + 0.5)2
/ s . Give a comment about the addition of Gc on root locus and
on step response.

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