The characteristic equation for a control system is given by: [ (s+2)(s+4)(s+alpha)+K=0 ] To achieve a good
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The characteristic equation for a control system is given by:
\[
(s+2)(s+4)(s+\alpha)+K=0
\]
To achieve a good dynamic behaviour, it is desired that damping ratio \(\xi=0.5\) and that the natural frequency \(\omega_{n}=4 \mathrm{rad} / \mathrm{sec}\), determine \(\alpha\) and \(\mathrm{K}\).
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