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Gate 2019: Control System Quiz 3

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Question 1

In a linear system, an input of 5sin ωt produces an output of 10cos ωt. the output corresponding to input 10cos ωt will be:

Question 2

For the system shown In figure, Transfer function H(s)=C(S)/R(s) is

Question 3

Let h(t) denote the impulse response of a causal system with transfer function Consider the following three statements.
S1: The system is stable.
S2: is independent of t for t=0.
S3: A non-causal system with the same transfer function is stable.
For the above system,

Question 4

A unity feedback control system has a forward path transfer function

If the system is subjected to an input r(t)=1+t+(1/2)t2, t > 0, the steady state error of the system will be :

Question 5

Find the transfer function for the block diagram given below?

Question 6

Determine the determinant of the given signal flow graph.
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Feb 20ESE & GATE EC