Exercise 2.3

Analysis ∙ Feedback control

Fig. 13 Closed-loop system

Depicted above is the block diagram of a closed-loop system.

1. For what values of the controller parameter \(K\) is the closed-loop stable?

2. Is there any value of \(K\) such that the closed-loop can track the reference signal \(r(t) = 0.1 \textrm{ramp}(t)\) with an error less than \(5 \cdot 10^{-3}\)?