Question: For a unit feedback system with the forward-path transfer function. [G(s)=frac{K}{s(s+3)(s+10)}] and a delay of 0. 5 second, estimate the percent overshoot for $K=40$ using

For a unit feedback system with the forward-path transfer function.

\[G(s)=\frac{K}{s(s+3)(s+10)}\]

and a delay of 0. 5 second, estimate the percent overshoot for $K=40$ using a secondorder approximation. Model the delay using MATLAB function pade $(T, n)$. Determine the unit step response and check the second-order approximation assumption made.

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