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This mock test of Control System - MCQ Test 3 for GATE helps you for every GATE entrance exam.
This contains 25 Multiple Choice Questions for GATE Control System - MCQ Test 3 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The OLTF of closed loop system is given by the following Transfer function.

The maximum value of K for which the system just become unstable is-

Solution:

QUESTION: 2

Which principle specifies the relationship between enclosure of poles & zeros by s-plane contour and the encirclement of origin by q(s) plane contour?

Solution:

QUESTION: 3

The control system shown in the given fig has an internal rate Feedback loop. The closed-loop system for open and closed condition of the switch will be respectively-

Solution:

*Answer can only contain numeric values

QUESTION: 4

An under damped second order system having Transfer function of the form

has a frequency response shown below, The system gain ‘K’ is...?

Solution:

QUESTION: 5

The OLTF of -ve UFB control system is given by-

The gain margin (in dB) is given by-

Solution:

QUESTION: 6

A unity Feed back system has forword loop gain T.F

. The cross over frequency (ω_{PC}) is given by -

Solution:

QUESTION: 7

The Magnitude Bode Plot of a certain system is shown below.

What will be its Transfer function..?

Solution:

QUESTION: 8

The T.F. of control system is given by . The polar plot of the system lies in-

Solution:

QUESTION: 9

A bolock diagram is shown in below.

The closed loop poles of this system are.

Solution:

QUESTION: 10

The response C(t) of a system to an input r(t) is given by the following differential equation:

The Transfer function of the system is given by-

Solution:

QUESTION: 11

A second order system is defined by the following differential equation

The damping ratio and natural prog. For this system is respectively.

Solution:

QUESTION: 12

For the given system the magnitude of CLTF sensitivity w.r.t OLTF at frequency ω = 1 rad/sec is ?

Solution:

QUESTION: 13

Find the impulse response of the system having transfer function each

Solution:

QUESTION: 14

A closed loop control system has G(S) = 100/S^{2} and H(S) = (S+1) The steady state output for a unit step

input is…?

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 15

A linear time invariant system initially at rest, when subjected to unit step input gives a response y(t) = te^{-t}, t > 0 The corresponding transfer function is

Solution:

QUESTION: 16

The responsse of a system is shown by the given wave-form. The correct root location in the S- Plane is ..?

Solution:

Given fig is response of the system which is under-damped

i.e. 0<ξ<1

For under-damped system, Poles are Comlex-Conjugate and lies on left half of S-Plane.

*Answer can only contain numeric values

QUESTION: 17

Consider a causal L T I system characterized by the Differential equations

The steady state o/p of the system to input

**(Important **- Enter only the numerical value in the answer**) **

Solution:

QUESTION: 18

The system shown in the given fig. is subjected to a unit rump input.

On closing the switches

Solution:

QUESTION: 19

The impulse response of an initially relaxed linear system is e^{-2t} , t > 0. To produce a response of t e^{- 2t} , t >0, The input must be equal to -

Solution:

QUESTION: 20

A control system is discribed by the following equation -

The Natural time constants of the system are-

Solution:

QUESTION: 21

The root location for a second order system is shown, the dumping ratio and natural freq. of system is respectively

Solution:

QUESTION: 22

Consider UFB system with forward path T.F

The range of K for which system is stable

Solution:

*Answer can only contain numeric values

QUESTION: 23

An open loop control system results in a response of

(10e^{-2t} - 3^{e-t}) u(t)

For an unit impulse input. The D.C. gain of control system is….....?

(**Important -** Enter only the numerical value in the answer)

Solution:

QUESTION: 24

For the given system the value of K and so that the system oscillates at freq. ω = 1 rad/sec.

**(Important **- Enter only the numerical value in the answer**)**

Solution:

K = 3 & = -2

*Answer can only contain numeric values

QUESTION: 25

A system with derivative controller is given as below. The value of K_{D} for which the damping ratio becomes 0.8 is ?

(**Important **- Enter only the numerical value in the answer)

Solution:

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