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Given the characteristic equation,a(s) = S6 + 4S5 + 3S4 + 2S3 + S + 4S + 4Is the system described by this characteristic equation stable? |
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Answer» • All the coefficients are positive and nonzero • Therefore, the system satisfies the necessary condition for stability • We should determine whether any of the coefficients of the first column of the Routh array are negative S6 : 1 3 1 4 S5 : 4 2 4 0 S4 : 2.5 0 4 S3 : 2 ‐2.4 0 S2 : 3 4 S1 : ‐1.6 0 S0 : 4 The elements of the 1st column are not all positive. Then the system is unstable. |
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