Bode plot

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$(15$ pts$)$ Hand Calculation

Bode plot of G$\_($o$)$ of the following closed$-$loop system is given in the next page.

$($a$)$ Clearly mark the GM and PM on the given bode plot and read their approximate

values.

$($b$)$ Is the closed$-$loop system stable?

$($c$)$ Approximately find the range of K that makes the closed$-$loop system stable.

$($d$)$ What is the type of the system?

$($e$)$ What input will result constant steady$-$state error.

$($f$)$ Assume, the input is such that the steady$-$state error is constant. Find the value of

the steady$-$state error.