9. For what range of values of K is the system in Figure E.9 stable? Graph the step responses for $K = 0$, $K = 4$ and $K = 8$. $X(s)$+$ rac{1}{s^2 - 4s + 4}$ $Y(s)$ Figure E.9 $h_1(t)$ $K = 0$ 3000+ -1 $h_1(t)$ $K = 4$ 0.5+ -1 -0.5 - 4 $h_1(t)$ $K = 8$ 0.25+ Answers: -1 4 , The system is unstable if $K \leq 4$ and stable if $K > 4$
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From the given information, we have: X(s) = 1 Y(s) = 2 - 45 + 4 K(s) h1(s) = K(s) K = 0.3000 h(s) = 0.5 - 10.5 h-1(s) = 0.25 K(s) K = 8 Show more…
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