Explore topic-wise MCQs in Control Systems.

This section includes 18 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

Convolution of two sequences X1[n] and X2[n] are represented by:

A. X1(z)*X2(z)
B. X1(z)X2(z)
C. X1(z)+X2(z)
D. X1(z)/X2(z)
Answer» B. X1(z)X2(z)
Discussion
2.

Assertion (A): The z-transform of the output of the sampler is given by the series.Reason (R): The relationship is the result of the application of z = e-sT, where T stands for the time gap between the samples.

A. Both A and R are true and R is correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» D. A is false but R is true
Discussion
3.

What is the z-transform of the signal x[n] = anu(n)?

A. X(z) =1/z-1
B. X(z) = 1/1-z
C. X(z) = z/z-a
D. X(z) = 1/z-a
Answer» D. X(z) = 1/z-a
Discussion
4.

Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstableReason (R): It has an impulse response with a finite number of non-zero samples

A. Both A and R are true and R is correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» E.
Discussion
5.

What is the number of roots of the polynomial F(z) = 4z3-8z2-z+2, lying outside the unit circle?

A. 0
B. 1
C. 2
D. 3
Answer» C. 2
Discussion
6.

Assertion (A): The signals anu(n) and anu(-n-1) have the same Z transform, z/(z-a)Reason (R): the region of convergence of anu(n) is |z|>|a|, whereas the ROC for anu(-n-1) is |z|

A. Both A and R are true and R is correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» E.
Discussion
7.

A system can be represented in the form of state equations as:S (n+1) =A S (n) +B x (n)Y (n) = C S (n) +D x (n)Where, A, B, C, D are the matrices , S(n) is the state vector , x(n) is the input and y(n) is the output . The transfer function of the system.H (z) =Y (z)/X (z) is given by:a) A(ZI – B)-1 C + Db) B(ZI – C)-1 D + Ac) C(ZI – A)-1 B + Dd) D(ZI –

A. A(ZI – B)-1 C + D
B. B(ZI – C)-1 D + A
C. C(ZI – A)-1 B + D
D. D(ZI – A)-1 C + B
Answer» D. D(ZI – A)-1 C + B
Discussion
8.

The minimum number of delay elements required realizing a digital filter with transfer functionH (z) =

A. 2
B. 3
C. 4
D. 5
Answer» C. 4
Discussion
9.

Consider the following statements regarding a linear discrete-time system:H (z) = z2+1/(z+0.5)(z-0.5)1. The system is stable2. The initial value of h(0) of the impulse response is -43. The steady-state output is zero for a sinusoidal discrete time input of frequency equal to one-fourth the sampling frequencyWhich of these statements are correct?

A. 1,2 and 3
B. 1 and 2
C. 1 and 3
D. 2 and 3
Answer» D. 2 and 3
Discussion
10.

ASSERTION_(A):_THE_Z-TRANSFORM_OF_THE_OUTPUT_OF_THE_SAMPLER_IS_GIVEN_BY_THE_SERIES.?$

A. : The relationship is the result of the application of z = e<sup>-sT</sup>, where T stands for the time gap between the samples.
B. Both A and R are true and R is correct explanation of A
C. Both A and R are true but R is not correct explanation of A
D. A is true but R is false
Answer» D. A is true but R is false
Discussion
11.

Convolution_of_two_sequences_X1[n]_and_X2[n]_are_represented_by:$

A. X1(z)*X2(z)
B. X1(z)X2(z)
C. X1(z)+X2(z)
D. X1(z)/X2(z)
Answer» B. X1(z)X2(z)
Discussion
12.

Which one of the following rules determine the mapping of s-plane to z-plane?

A. Right side of the s-plane maps into outside of the unit circle in z-plane
B. Left half of s-plane maps into inside of the unit circle
C. Imaginary axis in s-plane maps into the circumference of the unit circle
D. All of the mentioned
Answer» E.
Discussion
13.

What is the z-transform of the signal x[n] = anu(n)?

A. X(z) =1/z-1
B. X(z) = 1/1-z
C. X(z) = z/z-a
D. X(z) = 1/z-a
Answer» D. X(z) = 1/z-a
Discussion
14.

Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstable

A. : It has an impulse response with a finite number of non-zero samples
B. Both A and R are true and R is correct explanation of A
C. Both A and R are true but R is not correct explanation of A
D. A is true but R is false
Answer» E.
Discussion
15.

What is the number of roots of the polynomial F(z) = 4z3-8z2-z+2, lying outside the unit circle?

A. 0
B. 1
C. 2
D. 3
Answer» C. 2
Discussion
16.

Assertion (A): The signals anu(n) and anu(-n-1) have the same Z transform, z/(z-a)

A. : the region of convergence of a<sup>n</sup>u(n) is |z|>|a|, whereas the ROC for a<sup>n</sup>u(-n-1) is |z|<|a|.
B. Both A and R are true and R is correct explanation of A
C. Both A and R are true but R is not correct explanation of A
D. A is true but R is false
Answer» E.
Discussion
17.

A system can be represented in the form of state equations as:

A. =A S (n) +B x (n)
B. = C S (n) +D x (n)
C. is the state vector , x(n) is the input and y(n) is the output . The transfer function of the system.
D. =Y (z)/X (z) is given by:
Answer» D. =Y (z)/X (z) is given by:
Discussion
18.

The minimum number of delay elements required realizing a digital filter with transfer function

A. =
B. 2
C. 3
D. 4
Answer» C. 3
Discussion