Question

Question 1: A proportional-derivative (PD) controller (4 marks) For the control system in Figure 1: Find a value of $K_p$ that will yield less than 10% overshoot for the closed-loop system. (Note: for your design calculations for $K_p$ in this part, you may ignore the presence of the zero, which will alter the response compared to a canonical second order system). $R(s)$ + Controller Motor Plant $C(s)$ $K_p(s+9)$ $frac{10}{s+12}$ $frac{1}{s^2+6s+15}$ Figure 1: Unity feedback with PD control

          Question 1: A proportional-derivative (PD) controller (4 marks)
For the control system in Figure 1:
Find a value of $K_p$ that will yield less than 10% overshoot for the closed-loop
system. (Note: for your design calculations for $K_p$ in this part, you may ignore the
presence of the zero, which will alter the response compared to a canonical second
order system).
$R(s)$ + 
Controller
Motor
Plant
$C(s)$
$K_p(s+9)$
$frac{10}{s+12}$
$frac{1}{s^2+6s+15}$
Figure 1: Unity feedback with PD control

$Question 1: A proportional-derivative (PD) controller (4 marks) For the control system in Figure 1: Find a value of Kp that will yield less than 10% overshoot for the closed-loop system. (Note: for your design calculations for Kp in this part, you may ignore the presence of the zero, which will alter the response compared to a canonical second order system). R(s) + Controller Motor Plant C(s) Kp(s+9) frac10s+12 frac1s^2+6s+15 Figure 1: Unity feedback with PD control$

Added by Ricardo M.

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