1
GATE ECE 2000
Subjective
+8
-0
For the linear, time-invariant system whose block diagram is shown in Fig. with input x(t) and output y(t), GATE ECE 2000 Control Systems - Time Response Analysis Question 7 English 1 GATE ECE 2000 Control Systems - Time Response Analysis Question 7 English 2
(a) Find the transfer function.
(b) For the step response of the system [i.e. find y(t) when x(t) is a unit step function and the initial conditions are zero]
(c) Find y(t), if x(t) is as shown in Fig. and the initial conditions are zero.
2
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
A linear time invariant system has an impulse response e2t, t > 0. If the initial conditions are zero and the input is e3t, the output for t > 0 is
A
e3t - e2t
B
e5t
C
e3t + e2t
D
None
3
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier
A
will always be unstable at high frequencies
B
will be stable for all frequencies
C
may be unstable, depending on the feedback factor
D
will oscillate at low frequencies
4
GATE ECE 2000
Subjective
+5
-0
The block diagram of a feedback system is shown in Figure. GATE ECE 2000 Control Systems - Time Response Analysis Question 9 English 1 GATE ECE 2000 Control Systems - Time Response Analysis Question 9 English 2
(a) Find the closed loop transfer function.
(b) Find the minimum value of G for which the step response of the system would exhibit an overshoot, as shown in Figure.
(c) For G equal to twice this minimum value, find the time period T indicated in Figure.
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