# Time Domain Analysis – 1 – 1

1. Consider the unit-step response of a unity-feedback control system whose open-loop transfer function is

$\dpi{100} G (s) =1/s(s+1).$
The maximum overshoot is equal to :

(a) 1.143
(b) 0.153
(c) 0.163
(d) 0.173

Explanation
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2. A second order system exhibits 100% overshoot. Its damping coefficient is :

(a) equal to 0
(b) equal to 1
(c) less than 1
(d) grater than 1

Explanation
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3. A control system having unit damping factor will give :

(a) critically damped response
(b) oscillatory response
(c) undamped response
(d) no response

Explanation
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4. A unity feedback system has open-loop transfer function

$\dpi{100} G(s) = {25/[s (s+6)]}.$

The peak overshoot in the step-input response of the system is approximately equal to :

(a) 5%
(b) 10%
(c) 15%
(d) 20%

Explanation
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5. A system has a transfer function

$\dpi{100} C(s)/R(s) = 4/s^2+1.6s+4$

For the unit step response, the settling time (in seconds) for 2% tolerance band is :

(a) 1.6
(b) 2.5
(c) 4
(d) 5