Question

The unity feedback system shown in fig. has:

• A. Zero steady state position error
• B. Zero steady state velocity error
• C. Steady state position error $\frac{K}{10}$ units
• D. Steady state velocity error $\frac{K}{10}$ units

Answer 1

The correct option is A Zero steady state position error

$K_p=\underset{s\to 0}{lim}G\left(s\right)H\left(s\right)=\underset{s\to 0}{lim}\frac{K}{(s+10)}=\infty$
$e_{ss}=\frac{A}{1+K_p}=\frac{A}{1+\infty }=0$