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GATE 2023 Control system Quiz 59

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Question 1

The open-loop transfer function of a unity-feedback control system is

The positive value of K at the breakaway point of the feedback control system's root-locus plot is

Question 2

Consider the following statements:
1) The transfer function of a system is defined as the pseudo-static
relationship between the input and output variable.
2) We can compute the frequency response of an interconnected system of components with the help of Transfer functions.
3) While using the Laplace transform on a transfer function it is
possible to get information related to the qualitative behaviour of the response by solving for the dynamic response of the system
4) A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero.
Which of the following are true?

Question 3

Determine the type and order of the system : G(s).H(s) = .

Question 4

A stable real linear time-invariant system with single pole at p, has a transfer function with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:

Question 5

Find the value of the transfer function of the signal flow graph (SFG) given below. (Round off to two decimal point).

Question 6

Obtain the transfer function C(s)/R(s) for the given signal flow graph.


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Nov 3ESE & GATE EC