Question

(a) Consider the open loop transfer function of a control system $G(s) = \frac{5}{3s^2 + 12s + 30}$ Calculate percentage of overshoot, peak time, and settling time for the system [9 Marks] (b) Consider the pole plot given in Figure Q5(b), (i) Calculate the damping ration $\zeta$, the frequency of oscillation $\omega_n$, percentage of overshot %OS, and settling time $T_s$. [4 Marks] (ii) Plot the system response for one unit step input. [2 Marks] (c) Consider the control system shown in Figure Q5(c). Calculate the value of $n$ and $a$ which maintain a steady state error of 0.25 due to unit ramp input.

          (a) Consider the open loop transfer function of a control system
$G(s) = \frac{5}{3s^2 + 12s + 30}$
Calculate percentage of overshoot, peak time, and settling time for the system
[9 Marks]
(b) Consider the pole plot given in Figure Q5(b),
(i) Calculate the damping ration $\zeta$, the frequency of oscillation $\omega_n$, percentage of overshot
%OS, and settling time $T_s$.
[4 Marks]
(ii) Plot the system response for one unit step input.
[2 Marks]
(c) Consider the control system shown in Figure Q5(c). Calculate the value of $n$ and $a$ which
maintain a steady state error of 0.25 due to unit ramp input.

(a) Consider the open loop transfer function of a control system
G(s) = (5)/(3s^2 + 12s + 30)
Calculate percentage of overshoot, peak time, and settling time for the system
[9 Marks]
(b) Consider the pole plot given in Figure Q5(b),
(i) Calculate the damping ration ζ, the frequency of oscillation , percentage of overshot
%OS, and settling time $Ts$.
[4 Marks]
(ii) Plot the system response for one unit step input.
[2 Marks]
(c) Consider the control system shown in Figure Q5(c). Calculate the value of n and a which
maintain a steady state error of 0.25 due to unit ramp input.

Added by Tina M.

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