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The open-loop transfer function of a unity feedback system is K/(s^2 (s+5))The system is unstable for
  • a)
    K>5
  • b)
    K<5
  • c)
    K>0
  • d)
    All of the mentioned 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The open-loop transfer function of a unity feedback system is K/(s^2 (...
Explanation: The open loop transfer function of a unity feedback system is used to calculate the conditional stability by using the Routh Hurwitz criteria or the Root locus technique.
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The open-loop transfer function of a unity feedback system is K/(s^2 (...
To determine the stability of the system, we need to analyze the poles of the transfer function.

The transfer function is given as K/(s^2 (s + 5)).

The denominator of the transfer function is s^2 (s + 5), which has two factors: s and (s + 5).

Setting the denominator equal to zero, we get:

s^2 (s + 5) = 0

This equation has two solutions:
s = 0
s = -5

The system is unstable if any of the poles have positive real parts. In this case, both poles have negative real parts (0 and -5), so the system is stable for any value of K.
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