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

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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 1 (47.66 KiB) Viewed 11 times

(d) With the aid of the Routh-Hurwitz stability criterion,
investigate the range of the
gain K that would guarantee the stability of the system and hence,
find the
frequency of oscillation at the marginal stability point.
[8 marks]
(e) An input r(t) = 1.1u(t) is applied to the system, where the
function u(t) is the unit
step function. It is desired that the steady-state error, ess <
0.12. Determine the
minimum value of K that would satisfy the design requirement.
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) + E(S) e(t) Gc(s) Gp(s) C(s). c(t) H(s) Figure Q1a