1

### GATE ECE 2011

The input-output transfer function of a plant is h(s)=${{100} \over {s{{\left( {s + 10} \right)}^2}}}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The signal flow graph that DOES NOT model the plant transfer function H(s) is
A
B
C
D
2

### GATE ECE 2011

The input-output transfer function of a plant is h(s)=${{100} \over {s{{\left( {s + 10} \right)}^2}}}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The gain margin of the system under closed loop unity negative feedback is
A
0 dB
B
20 dB
C
26 dB
D
46 dB
3

### GATE ECE 2009

The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration shown. Which of the foloowing statements is true?
A
G(s) is is an all-pass filter.
B
G(s) has a zero in the right-half of S-plane.
C
G(s) is the impedance of a passive network.
D
G(s) is marginally stable.
4

### GATE ECE 2009

The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration shown. The gain and phase margins of G(s) for closed loop stability are
A
6 dB and $180^\circ$
B
3 dB and $180^\circ$
C
6 dB and $90^\circ$
D
3 dB and $90^\circ$

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