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Given a unity feedback system with G (s) =K/ s (s+4). What is the value of K for a damping ratio of 0.5?

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Given a unity feedback system with G (s) =K/ s (s+4). What is the value of K for a damping ratio of 0.5?

(a) 1

(b) 16

(c) 4

(d) 2

I got this question in an internship interview.

I'd like to ask this question from Time Domain Analysis in section Stability in Frequency Domain of Control Systems

1 Answer

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Best answer
Right choice is (b) 16

The best explanation: Comparing the equation with the standard characteristic equation gives the value of damping factor, natural frequency and value of gain K.

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