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The transfer functions of the control system shown in Figure Q1a are as follows: K Gc(s) = (s + 3)2 (s + 5) , Gp(s) = (s
Posted: Sat May 21, 2022 1:36 am
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- The Transfer Functions Of The Control System Shown In Figure Q1a Are As Follows K Gc S S 3 2 S 5 Gp S S 1 (37.17 KiB) Viewed 13 times
The transfer functions of the control system shown in Figure Q1a are as follows: K Gc(s) = (s + 3)2 (s + 5) , Gp(s) = (s + 1)(s + 4) and H(s) = 1. R(S) r(t) + O E(s) e(t) G(S) Ge(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 <KS. (8 marks) (c) Derive an expression for the open-loop frequency response of the system with respect to K for a 0 and wo and hence, show a simple Nyquist sketch of the open-loop response of the system.