GATE IN topic:control-systems PYQs & Answers — Page 4

Questions 31–40 of 56. Imported answers require independent review unless marked reviewed.

Topic practice 56 questionsPage 4 of 6

Consider a system with transfer-function

. A unit step function

is applied to the system, which results in an output

. If

, then

is ___.

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A phase lead network has the transfer function

. The angular frequency at which the maximum phase shift for the network occurs is ____.

Your answerChoose one option.

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The closed loop transfer function of a control system is given by

. For the input

, the steady state response

is ____.

Your answerChoose one option.

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A second order system has closed loop poles located at

. The time

at which the maximum value of the step response occurs (in seconds, rounded off to two decimal places) is ____.

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The loop transfer function of a negative feedback system is

. The Nyquist plot for the above system ____

Your answerChoose one option.

encircles (−1 + j0) point once in the clockwise direction

encircles (−1 + j0) point once in the counterclockwise direction

does not encircle (−1 + j0) point

encircles (−1 + j0) point twice in the counterclockwise direction

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The loop transfer function of a negative feedback system is given by

, where

. The value of

at the breakaway point of the root locus for the above system (rounded off to one decimal place) is ____

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The system shown in Fig. (a) has a time response

to an input

as shown in Fig. (b),

being the unit step input. Both

are positive. The gain

of the system is ____

Diagram for Instrumentation Engineering question 37

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Consider the following state variable equations:

. The initial conditions are

and

. At

second, the value of

(rounded off to two decimal places) is ____

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The loop transfer function of a negative feedback system is

. The phase margin of the system (in degrees, rounded off to one decimal place) is ___

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In a cascade control system, the closed loop transfer function of the inner loop may be assumed to have a single time constant

. Similarly, the closed loop transfer function of the outer loop may be assumed to have a single time-constant

. The desired relationship between

and

in a well-designed control system is

Your answerChoose one option.

is much less than

is equal to

is much greater than

is independent of

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GATE IN topic:control-systems PYQs

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