Consider a unity negative feedback system with a loop transfer function (with nominal values)
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Using the Routh-Hurwitz stability analysis, it can be shown that the closed-loop system is nominally stable. However, if the system has uncertain coefficients such that
0.25 ≤ a ≤ 3, 2 ≤ b ≤ 4, and 4 ≤ K≤ 5,
the closed-loop system may exhibit instability. Which of the following situations is true:
a. Unstable for a = 1, b = 2, and K = 4.
b. Unstable for a = 2, b = 4, and K = 4.5.
c. Unstable for a = 0.25, b = 3, and K = 5.
d. Stable for all a, 6, and K in the given intervals.
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