EXERCISE

$7\mathrm{.}13\mathrm{.}25$: $($Chapter $7,$ Problem

$25$ in the $8$th Edition$).$

$?$

Given the unity$-$feedback control system of Figure $7\mathrm{.}13\mathrm{.}1$ where

$G(s)=\frac{K}{s(s+a)}$

find the following: $[$Section: $7\mathrm{.}4]$

$($a$)K$ and $a$ to yield $K_v=1000$ and a $20\%$ overshoot

$($b$)K$ and $a$ to yield a $1\%$ error in the steady state and a $10\%$ overshoot.

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