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  1. A control system is as shown in given figure The maximum value of gain K for which the system is stable is

    2. A.
    more than 5
    B.
    equal to 5
    C.
    less than 1
    D.
    less than 5

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    Answer : Option D

    Explanation :

    Characteristic Equation is 1 + GH = 0

    1 +

    or s3 + 3s2 + 2s + (1 + K) = 0

    Hurwitz criterion can be applied

    s3 1 2 and (1 + K) both should be + ve

    s2 3 1 + K

    s1 0 ∴ K should be more than - 1 and less than 5

    s0 1 + K.

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