1
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
The frequency response of a linear, time-invariant system is given by $$H\left(f\right)\;=\;\frac5{1\;+\;j10\mathrm{πf}}$$ .The step response of the system is:
A
$$5\left(1\;-\;e^{-5t}\right)u\left(t\right)$$
B
$$5\left(1\;-\;e^{-\frac15}\right)u\left(t\right)$$
C
$$\frac15\;\left(1\;-\;e^{-5t}\right)u\left(t\right)$$
D
$$\frac15\;\left(1\;-\;e^{-\frac15}\right)u\left(t\right)$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
A unity feedback control system has an open-loop transfer function $$$G\left(s\right)=\frac K{s\left(s^2+7s+12\right)}$$$ The gain K for which s = −1 + j1 will lie on the root locus of this system is:
A
4
B
5.5
C
6.5
D
10
3
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a plant is $$$T\left(s\right)=\frac5{\left(s+5\right)\left(s^2+s+1\right)}$$$ The second-order approximation of T (s) using dominant pole concept is:
A
$$\frac1{\left(s+5\right)\left(s+1\right)}$$
B
$$\frac5{\left(s+5\right)\left(s+1\right)}$$
C
$$\frac5{\left(s^2+s+1\right)}$$
D
$$\frac1{\left(s^2+s+1\right)}$$
4
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
If the closed-loop transfer function of a control system is given as T(s)=$${{s - 5} \over {(s + 2)(s + 3)}},$$ then it is
A
an unstable system
B
an uncontrollable system
C
a minimum phase system
D
a non-minimum phase system
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