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The feedback control system represented by the open loop transfer function G(s) H(s) = is
  • a)
    unstable
  • b)
    stable
  • c)
    marginally stable
  • d)
    insufficient data
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The feedback control system represented by the open loop transfer fun...
G(s) H(s) =
The characteristic equation is 1 + G(s) H(s) = 0
⇒ (s + 1) (s + 3) (s - 5) + 10 (s + 2) = 0
⇒ s3 - s2 - 7s + 5 = 0
By inspection of characteristic equation, it is clear that system is unstable as all the coefficients of s are not of the same sign.
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Most Upvoted Answer
The feedback control system represented by the open loop transfer fun...
G(s) H(s) =
The characteristic equation is 1 + G(s) H(s) = 0
⇒ (s + 1) (s + 3) (s - 5) + 10 (s + 2) = 0
⇒ s3 - s2 - 7s + 5 = 0
By inspection of characteristic equation, it is clear that system is unstable as all the coefficients of s are not of the same sign.
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