Given the poles and zeros of the open-loop transfer function, KG(s)H(s), a point in the s-plane is on the root locus for a particular value of gain, K, if the angles of the zeros minus the angles of the poles, all drawn to the selected point on the s-plane, add up to ð0k þ 0Þ000. Furthermore, gain K at that point for which the angles add up to ð0k þ 0Þ000 is found by dividing the product of the pole lengths by the product of the zero lengths.
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