Question

Q2 Figure Q2 shows a block diagram of a position control system which employs velocity feedback. The amplifier gain and tachometer constant for this control system are given by $K_s$ and $K_g$ respectively. (a) Formulate the transfer function $C(s)/R(s)$. (4 marks) (b) Select suitable values for $K_s$ and $K_g$ so that the output response for a unit step input, will have a maximum overshoot of 9.47% at time $t = 0.3927$ second. (8 marks) (c) By using these selected values for $K_s$ and $K_g$, derive the unit step response $c(t)$ of the system. (8 marks) Amplifier R(s) + $K_s$ $\frac{1}{s+1}$ $\frac{1}{s}$ C(s) $K_g$ Tachometer

          Q2
Figure Q2 shows a block diagram of a position control system which employs velocity feedback.
The amplifier gain and tachometer constant for this control system are given by $K_s$ and $K_g$
respectively.
(a) Formulate the transfer function $C(s)/R(s)$.
(4 marks)
(b) Select suitable values for $K_s$ and $K_g$ so that the output response for a unit step input, will have
a maximum overshoot of 9.47% at time $t = 0.3927$ second.
(8 marks)
(c) By using these selected values for $K_s$ and $K_g$, derive the unit step response $c(t)$ of the system.
(8 marks)
Amplifier
R(s)
+
$K_s$
$\frac{1}{s+1}$
$\frac{1}{s}$
C(s)
$K_g$
Tachometer

Q2
Figure Q2 shows a block diagram of a position control system which employs velocity feedback.
The amplifier gain and tachometer constant for this control system are given by Ks and Kg
respectively.
(a) Formulate the transfer function C(s)/R(s).
(4 marks)
(b) Select suitable values for Ks and Kg so that the output response for a unit step input, will have
a maximum overshoot of 9.47% at time $t = 0.3927$ second.
(8 marks)
(c) By using these selected values for Ks and Kg, derive the unit step response c(t) of the system.
(8 marks)
Amplifier
R(s)
+
Ks
(1)/(s+1)
(1)/(s)
C(s)
Kg
Tachometer

Added by Fernando S.

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