Exercise 2.2#
We want to control the angular position of a DC motor. The transfer function between the applied voltage and the position is
\[
G(s) = \frac{10}{s(s+10)}
\]
We adopt a proportional controller:
\[
F(s) = K
\]
For which values of \(K\) is the closed-loop stable?
If the reference signal is \(\theta_{ref}(t) = R \cdot \textrm{step}(t)\), for what values of \(K\) the steady-state output error is less than \(1\%\)?