Multiple choice

Given G(s) H(s) = $\dfrac{K}{s(s+1)(s+3)}$. The point of intersection of the asymptotes of the root loci with the real axis is

    • 4

  2. 1.33
    • 1.33

  4. 4
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C Correct answer
Explanation

Centroid is the point where all asymptotes intersects.

$$ \sigma = \dfrac{\sum Real \ of \ Open \ Loop \ Pole - \sum Real \ Part \ of \ Open \ Loop \ Pole}{\sum No.\ of \ Open \ Loop \ Pole - \sum No.\ Part \ of \ Open \ Loop \ zero} \\ = \dfrac{-1-3}{3} = -1.33 $$

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