Control System MCQs

Question 1

For a second order system, damping ratio, (4) is 0 < 4 < 1, then the roots of the characteristic polynomial are

Accepted Answer

complex conjugates

Answer

real but not equal

Answer

real and equal

Answer

imaginary

Question 2

The transfer function of a linear system is the

Accepted Answer

ratio of the Laplace transform of the output and that of the input with all initial conditions zero

Answer

ratio of the output, Vo (t), and input, V1 (t)

Answer

ratio of the derivatives of the output and the input

Answer

none of these

Question 3

Non-minimum phase transfer function is defined as the transfer function, which has

Accepted Answer

which has lopes in the left half s-pane.

Answer

zeros in the right-half s-plane

Answer

zeros only in the left-half s-plane

Answer

poles in the right-half s-plane

Question 4

The unit impulse response of a system is given as c(t) = -4e-t + 6e-2t. The step response of the same system for t > 0 is equal to

Accepted Answer

_3e-2t 4e-t _

Answer

-3e-2t + 4e-t ? 1

Answer

(e) _3e-2t ? 4e-t ? 1

Answer

+ 4e-t - 1

Question 5

A 5x7 matrix has all its entries equal to -1. The rank of the matrix is

Accepted Answer

1

Answer

7

Answer

5

Answer

zero

Question 6

The eigen-values of the matrix are

Accepted Answer

(a) (a + 1), 0

Answer

a, 0

Answer

(c) (a - I), 0

Answer

0, 0

Question 7

The impulse response of an initially relaxed linear system is e-2t U(t). To produce a response of t e-2t U(t), the input must be equal to

Accepted Answer

e-2t U(t)

Answer

2 et U(t)

Answer

? ,U(t)

Answer

e-t U(t)

Question 8

The closed-loop transfer function of a control system is given by C (s) =2 (s - I),R (s)=(s + 2) (s + 1) For a unit step input the output is

Accepted Answer

-3 e-2t + 4 e-t ? I

Answer

-3 e-2t - 4 e-t + 1

Answer

zero

Answer

infinity

Question 9

A system equation XX where A =Transfer function

Accepted Answer

cos t

Answer

1

Answer

?r? sin t

Answer

sin 1