Explore topic-wise MCQs in Control Systems.

This section includes 14 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.

Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane.Reason (R): For a rational system, ROC is bounded by poles

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true bit R is NOT the correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» C. A is true but R is false
Discussion
2.

Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true bit R is NOT the 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.

If X(z) =(z+z-3)/(z+z-1), then x(n) series has:

A. Alternate 0s
B. Alternate 1s
C. Alternate 2s
D. Alternate -1s
Answer» B. Alternate 1s
Discussion
4.

Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable.Reason (R): A system is unstable if the roots of the characteristic equation lie outside the unit circle.

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

ASSERTION_(A):_THE_STABILITY_OF_THE_SYSTEM_IS_ASSURED_IF_THE_ROC_INCLUDES_THE_UNIT_CIRCLE_IN_Z-PLANE.?$

A. : For a causal stable system all the poles should be outside the unit circle in the z-plane.
B. Both A and R are true and R is the correct explanation of A
C. Both A and R are true bit R is NOT the correct explanation of A
D. A is true but R is false
Answer» D. A is true but R is false
Discussion
6.

Assertion_(A):_For_the_rational_transfer_function_H(z)_to_be_causal,_stable_and_causally_invertible,_both_the_zeroes_and_the_poles_should_lie_within_the_unit_circle_in_the_z-plane.$

A. : For a rational system, ROC is bounded by poles
B. Both A and R are true and R is the correct explanation of A
C. Both A and R are true bit R is NOT the correct explanation of A
D. A is true but R is false
Answer» C. Both A and R are true bit R is NOT the correct explanation of A
Discussion
7.

If X(z) =(z+z-3)/(z+z-1), then x(n) series has?

A. Alternate 0s
B. Alternate 1s
C. Alternate 2s
D. Alternate -1s
Answer» B. Alternate 1s
Discussion
8.

The poles of a digital filter with linear phase response can lie

A. Only at z =0
B. Only on the unit circle
C. Only inside the unit circle but not at z =0
D. On the left side of Real (z) =0 line
Answer» C. Only inside the unit circle but not at z =0
Discussion
9.

Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable.

A. : A system is unstable if the roots of the characteristic equation lie outside the unit circle.
B. Both A and R are true and R is the correct explanation of A
C. Both A and R are true but R is NOT the correct explanation of A
D. A is true but R is false
Answer» B. Both A and R are true and R is the correct explanation of A
Discussion
10.

Difference equation technique for higher order systems is used in:

A. Laplace transform
B. Fourier transform
C. Z-transform
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
11.

Difference equation solution yields at the sampling instants only:

A. True
B. False
Answer» B. False
Discussion
12.

Difference equation in discrete systems is similar to the _____________ in continuous systems.

A. Difference equation
B. Differential equation
C. Quadratic equation
D. None of the mentioned
Answer» C. Quadratic equation
Discussion
13.

Difference equation is used in :

A. Discrete time analysis
B. Continuous time analysis
C. Digital analysis
D. None of the mentioned
Answer» B. Continuous time analysis
Discussion
14.

Difference equation model results in:

A. Sampled-data systems
B. Numerical analysis of continuous time systems
C. Continuous time feedback systems
D. Both a and b
Answer» E.
Discussion