1
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by GATE ECE 2011 Control Systems - Root Locus Diagram Question 18 English
A
$$G\left(s\right)H\left(s\right)=k\frac{s\left(s+1\right)}{\left(s+2\right)\left(s+3\right)}$$
B
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)^2}$$
C
$$G\left(s\right)H\left(s\right)=k\frac1{s\left(s-1\right)\left(s+2\right)\left(s+3\right)}$$
D
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)}$$
2
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The differential equation $$$100\frac{\mathrm d^2\mathrm y}{\mathrm{dt}^2}-20\frac{\mathrm{dy}}{\mathrm{dt}}+\mathrm y=\mathrm x\left(\mathrm t\right)$$$ describes a system with an input x(t) and an output y(t). The system, which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform
A
GATE ECE 2011 Control Systems - Time Response Analysis Question 23 English Option 1
B
GATE ECE 2011 Control Systems - Time Response Analysis Question 23 English Option 2
C
GATE ECE 2011 Control Systems - Time Response Analysis Question 23 English Option 3
D
GATE ECE 2011 Control Systems - Time Response Analysis Question 23 English Option 4
3
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
For the transfer function G$$\left( {j\omega } \right) = 5 + j\omega ,$$ the corresponding Nyquist plot for positive frequency has the form
A
GATE ECE 2011 Control Systems - Frequency Response Analysis Question 53 English Option 1
B
GATE ECE 2011 Control Systems - Frequency Response Analysis Question 53 English Option 2
C
GATE ECE 2011 Control Systems - Frequency Response Analysis Question 53 English Option 3
D
GATE ECE 2011 Control Systems - Frequency Response Analysis Question 53 English Option 4
4
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
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. GATE ECE 2011 Control Systems - Frequency Response Analysis Question 25 English 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
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