1. 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 %32, а %3D0.75 с) К %34, а %3D1 d) К %34, а %3D0.75 View Answer

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1. 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 %32, а %3D0.75
C) K =4, a =1
d) К %3D4, а 30.75
View Answer
Answer: b
Explanation: Solving Routh Hurwitz
table whenever row of zero occurs, the
roots are located symmetrically on the
imaginary axis then the system
response oscillates, a =1+K/2+K. If K =2
is consider then a =0.75.
Transcribed Image Text:1. 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 %32, а %3D0.75 C) K =4, a =1 d) К %3D4, а 30.75 View Answer Answer: b Explanation: Solving Routh Hurwitz table whenever row of zero occurs, the roots are located symmetrically on the imaginary axis then the system response oscillates, a =1+K/2+K. If K =2 is consider then a =0.75.
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