1

### GATE ECE 2007

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
2

### GATE ECE 2006

In the system shown below, x(t)=(sin t). In steady-state, the response y(t) will be
A
${1 \over {\sqrt 2 }}\sin \left( {t - {\pi \over 4}} \right)$
B
${1 \over {\sqrt 2 }}\sin \left( {t + {\pi \over 4}} \right)$
C
${1 \over {\sqrt 2 }}{e^{ - t}}\sin t$
D
$\sin t - \cos t$
3

### GATE ECE 2006

The open-loop transfer function of a unity-gain feedback control system is given by $G(s) = {K \over {(s + 1)(s + 2)}},$ the gain margin of the system in dB is given by
A
0
B
1
C
20
D
$\infty$
4

### GATE ECE 2005

Which one of the following polar diagrams corresponds to a lag network?
A
B
C
D

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