Question

1. The characteristic equation of a closed-loop system is: $s^5 + 2s^4 + 3s^2 + s + 2 = 0$ Please determine whether the system is stable by using the Routh-Hurwitz criterion. Give the number of unstable poles if not stable.

          1. The characteristic equation of a closed-loop system is:
$s^5 + 2s^4 + 3s^2 + s + 2 = 0$
Please determine whether the system is stable by using the Routh-Hurwitz criterion.
Give the number of unstable poles if not stable.

Added by Sabrina P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Christopher Dzorkpata

Step 1

The characteristic equation is: s^4 + 3s^2 + s + 2 = 0 So, the coefficients are: a0 = 1 a1 = 0 a2 = 3 a3 = 1 a4 = 2 Show more…

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The characteristic equation of a closed-loop system is: s^4 + 3s^2 + s + 2 = 0 Please determine whether the system is stable by using the Routh-Hurwitz criterion. Give the number of unstable poles if not stable.