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Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s^3+10s^2+18s+K.

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Determine the value of K such that roots of characteristic equation given below lies to the left of the line s = -1. s^3+10s^2+18s+K.

(a) K>16 and K<9

(b) K<16

(c) 9<K<16

(d) K<9

The question was asked during an online exam.

The query is from Relative Stability Analysis topic in section Stability and Algebraic Criteria of Control Systems

1 Answer

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The correct answer is (c) 9<K<16

The explanation: In Routh array analysis the first column must be positive and after solving K<16 and K>9.

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