Wednesday, April 29, 2015

GATE 2011 ECE - Control Systems - Complete Video Solutions

2011

1. The differential equation 100d2y/dt2-20dy/dt+y = x(t) 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


Answer:A



2. for the transfer function G(jω) = 5 + jω, the corresponding Nyquist plot for positive frequency has the form


Answer:A



3. The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by


Answer:B



4. The block diagram of a system with one input u and two outputs y1 and y2 is given below.
A state space model of the system in terms of the state vector and the vector = [y1 y2]T is


Answer:B




5. If F(s) = L[f(t)] = 2(s+1)/(s2+4s+7), then the initial and final values of f(t) are respectively
a) 0,2
b) 2,0
c) 0,2/7
d) 2/7,0

Answer:B



Common Data Questions 6 & 7:
The input – output transfer function of a plant H(s) = 100/s(s+10)2. The plant is placed in a unity negative feedback configuration as shown in figure below.


6. The signal flow graph that DOES NOT model the plant transfer function H(s) is


Answer:D



7. 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

Answer:C





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