Question

Figure 2 shows a feedback system of a DC motor. Find a) The transfer function of the system b) The system sensitivity to changes in $a$ and $c$. Evaluate both expressions of sensitivity for the steady-state gain (set $s = 0$). Comment on your results. c) The steady-state error of the system response due to i. A unit step input ii. A unit ramp input $R(s)$ (6 Points $1$ $8+s$ $G(s) = \frac{1}{s(as+b)}$ $X(s)$ $c$ Figure 2. A DC motor control system

          Figure 2 shows a feedback system of a DC motor. Find
a) The transfer function of the system
b) The system sensitivity to changes in $a$ and $c$. Evaluate both expressions of sensitivity for
the steady-state gain (set $s = 0$). Comment on your results.
c) The steady-state error of the system response due to
i. A unit step input
ii. A unit ramp input
$R(s)$ 
(6 Points
$1$
$8+s$
$G(s) = \frac{1}{s(as+b)}$
$X(s)$
$c$
Figure 2. A DC motor control system

Figure 2 shows a feedback system of a DC motor. Find
a) The transfer function of the system
b) The system sensitivity to changes in a and c. Evaluate both expressions of sensitivity for
the steady-state gain (set s = 0). Comment on your results.
c) The steady-state error of the system response due to
i. A unit step input
ii. A unit ramp input
R(s)
(6 Points
1
8+s
G(s) = (1)/(s(as+b))
X(s)
c
Figure 2. A DC motor control system

Added by John O.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aman Kumar

Step 1

In this case, the output is denoted as X(s) and the input is denoted as R(s). From the given diagram, we can see that the output X(s) is connected to the input R(s) through a transfer function G(s). Show more…

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Figure 2 shows a feedback system of a DC motor. Find aThe transfer function of the system the steady-state gain (set s = 0). Comment on your results. c) The steady-state error of the system response due to i.A unit step input ii.A unit ramp input (6 Points 1 8+S s s(as+b) >X(s) R(s) Figure 2.A DC motor control system