[6 marks] The transfer functions of the control system shown in Figure Q1a are as follows: Gc(s) K (s + 3)2 Gp(s) = (s +

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6 Marks The Transfer Functions Of The Control System Shown In Figure Q1a Are As Follows Gc S K S 3 2 Gp S S 1 (68.35 KiB) Viewed 17 times

[6 marks] The transfer functions of the control system shown in Figure Q1a are as follows: Gc(s) K (s + 3)2 Gp(s) = (s + 5) (s + 1)(s + 4) and H(s) = 1. R(s) r(t) O E(S) e(t) Gc(s) Gr(s) C(s) c(t) H(s) Figure Q1a (b) Sketch the root-locus diagram, including any asymptotes. Indicate the point of instability and the positions of small positive values of K. Comment on the nature of system damping for 0 <K SO. [8 marks]