The loop transfer function of a unity feedback system is

This system is called conditionally stable because it is stable only for a range of the gain K such that k₁ < K < k₂. Using the Routh–Hurwitz criteria and the root locus method, determine the range of the gain for which the system is stable. Sketch the root locus for 0 < K <.

Transcribed Image Text:

L(S) = Ge(s)G(s) K(s + 2) (s + 3) s²(s + 1)(s +15) (s +20)