Explore topic-wise MCQs in Control Systems.

This section includes 9 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 of a system is given by3s4+10s3+5s2+2=0. This system is:

A. Stable
B. Marginally stable
C. Unstable
D. Linear
Answer» D. Linear
Discussion
2.

The polynomial s4+Ks3+s2+s+1=0 the range of K for stability is _____________

A. K>5
B. -10<K
C. K>-4
D. K-1>0
Answer» E.
Discussion
3.

Consider a characteristic equation, s4+3s3+5s2+6s+k+10=0. The condition for stability is

A. K>5
B. -10<K
C. K>-4
D. -10<K<-4
Answer» E.
Discussion
4.

The characteristic equation of a feedback control system is s3+Ks2+9s+18. When the system is marginally stable, the frequency of the sustained oscillation:

A. 1
B. 1.414
C. 1.732
D. 3
Answer» E.
Discussion
5.

Consider a negative feedback system where G(s) =1/(s+1) and H(s) =K/s(s+2). The closed loop system is stable for

A. K>6
B. 0<K<2
C. 8<K<14
D. 0<K<6
Answer» E.
Discussion
6.

Determine the condition for the stability of unity feedback control system whose open loop transfer function is given byG(s) = 2e-st/s(s+2)a) T >1b) T <0c) T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.

A. T >1b) T <0c) T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9
B. T <0c) T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16
C. T <1d) T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16c) 9<K<16
D. T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16c) 9<K<16d) K<9View Answer
Answer» D. T >0 5.Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s3+10s2+18s+K.a) K>16 and K<9b) K<16c) 9<K<16d) K<9View Answer
Discussion
7.

Determine the stability of closed loop control system whose characteristic equation iss5+s4+2s3+2s2+11s+10=0.

A. Stable
B. Marginally stable
C. Unstable
D. None of the mentioned
Answer» C. Unstable
Discussion
8.

The open loop transfer functions with unity feedback are given below for different systems.Among these systems the unstable system is

A. G(s) =2/s+2
B. G(s) =2/s(s+2)
C. G(s) =2/(s+2)s^2
D. G(s) =2(s+1)/s(s+2)
Answer» D. G(s) =2(s+1)/s(s+2)
Discussion
9.

A system with unity feedback having open loop transfer function as G(s) = K(s+1)/s3+as2+2s+1. What values of ‘K’ and ’a’ should be chosen so that the system oscillates ?

A. K =2, a =1
B. K =2, a =0.75
C. K =4, a =1
D. K =4, a =0.75
Answer» C. K =4, a =1
Discussion