Tag Archives: Stability

Stability using Routh Stability Criterion

Determine the stability of the system whose characteristics equation is:

a(s) = 2s^5 + 3s^4 + 2s^3 + s^2 + 2s + 2.

Solution

All coefficients are positive and non-zero; therefore, the necessary condition for stability is satisfied. Let's write the Routh array:

\begin{array}{l | c c c} s^5 & 2 & 2 & 2 \\ s^4 &  3 & 1 & 2 \\ s^3 & & &  \\  s^2 & & & \\ s^1 & & & \\ s^0 & & &\end{array}
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