Explore topic-wise MCQs in Control Systems.

This section includes 17 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.

The characteristic equation is s3+14s2+(45+K)s+K =0, centroid is located at (-x,0) then the value of x is ____________

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
Discussion
2.

The OLTF of a unity feedback system is K(s+2)(s+4)/(s+5)(s+6) the angle of arrival of the root loci as s =-2, and s =-4 respectively are:

A. 0°,180°
B. 180°,0°
C. 90°,180°
D. 180°, 90°
Answer» C. 90°,180°
Discussion
3.

The characteristic equation of a control system is given as 1+ K(s+4)/s(s+7)(s2+2s+2)=0. The real axis intercept for root locus asymptote is:

A. -2.25
B. -1
C. -1.67
D. 0
Answer» D. 0
Discussion
4.

The open loop transfer function of the feedback control system is given by G(s) =K(s+3)/s(s+4)2(s+5)(s+6). The number of asymptotes and the centroid of asymptotes of the root loci of closed loop system is

A. 4 and (-4,0)
B. 3 and (-12,0)
C. -4 and (-4,0)
D. -3 and (-12,0)
Answer» B. 3 and (-12,0)
Discussion
5.

If a feedback control system has its open loop transfer function G(s)H(s) = K/(s-2)(s2+3s+5) has the root locus plot which intersects the imaginary axis at s =0, then the value of K at this point will be

A. -5
B. 10
C. 5
D. -10
Answer» C. 5
Discussion
6.

The angles of asymptotes of the root loci of the equation s3+5s2+(K+2)s+K=0 are:

A. 0° and 270°
B. 0° and 180°
C. 90° and 270°
D. 90° and 180°
Answer» D. 90° and 180°
Discussion
7.

Determine the centroid of the root locus for the system having G(s)H(s) = K/(s+1)(s2+4s+5)

A. -2.1
B. -1.78
C. -1.66
D. -1.06
Answer» D. -1.06
Discussion
8.

With reference to root locus, the complex conjugate roots of the characteristic equation of the O.L.T.F. given below G(s)H(s) =K(s+3)/(s+1)2, lie on

A. Straight line
B. Parabola
C. Circle
D. Semi-circle
Answer» D. Semi-circle
Discussion
9.

THE_OLTF_OF_A_UNITY_FEEDBACK_SYSTEM_IS_K(S+2)(S+4)/(S+5)(S+6)_THE_ANGLE_OF_ARRIVAL_OF_THE_ROOT_LOCI_AS_S_=-2,_AND_S_=-4_RESPECTIVELY_ARE:?$

A. 0°,180°
B. 180°,0°
C. 90°,180°
D. 180°, 90°
Answer» C. 90¬¨¬®‚Äö√†√ª,180¬¨¬®‚Äö√†√ª
Discussion
10.

The_characteristic_equation_is_s3+14s2+(45+K)s+K_=0,_centroid_is_located_at_(-x,0)_then_the_value_of_x_is_____________$

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
Discussion
11.

The characteristic equation of a control system is given as 1+ K(s+4)/s(s+7)(s2+2s+2)=0. The real axis intercept for root locus asymptote is?

A. -2.25
B. -1
C. -1.67
D. 0
Answer» D. 0
Discussion
12.

The open loop transfer function of the feedback control system is given by G(s) =K(s+3)/s(s+4)2(s+5)(s+6). The number of asymptotes and the centroid of asymptotes of the root loci of closed loop system is

A. 4 and (-4,0)
B. 3 and (-12,0)
C. -4 and (-4,0)
D. -3 and (-12,0)
Answer» B. 3 and (-12,0)
Discussion
13.

If a feedback control system has its open loop transfer function G(s)H(s) = K/(s-2)(s2+3s+5) has the root locus plot which intersects the imaginary axis at s =0, then the value of K at this point will be

A. -5
B. 10
C. 5
D. -10
Answer» C. 5
Discussion
14.

The intersection of asymptotes of root loci of a system with open loop transfer function G(s)H(s) = K/s(s+1)(s+3) is

A. 1.44
B. 1.33
C. -1.44
D. -1.33
Answer» E.
Discussion
15.

The angles of asymptotes of the root loci of the equation s3+5s2+(K+2)s+K=0 are:

A. 0° and 270°
B. 0° and 180°
C. 90° and 270°
D. 90° and 180°
Answer» D. 90¬¨¬®‚Äö√†√ª and 180¬¨¬®‚Äö√†√ª
Discussion
16.

The loop transfer function of an LTI system is G(s)H(s) =K(s+1)(s+5)/s(s+2)(s+3). For K>0, the point on the real axis that does not belong to the root locus of the system is

A. -0.5
B. -2.5
C. -3.5
D. -5.5
Answer» D. -5.5
Discussion
17.

With reference to root locus, the complex conjugate roots of the characteristic equation of the O.L.T.F. given below G(s)H(s) =K(s+3)/(s+1)2, lie on

A. Straight line
B. Parabola
C. Circle
D. Semi-circle
Answer» D. Semi-circle
Discussion