Exercise 2.0

Consider a second-order system \(G(s) = \frac{1}{s^2 + 3s + 2}\) and a proportional controller \(F(s) = 4\).

1. Draw the block diagram of the closed loop.

2. Does this controller ensure closed-loop stability?

3. Compute the steady-state output \(y(\infty)\) for step references with amplitude \(1\).

4. Compute the steady-state input \(u(\infty)\) for step references with amplitude \(1\).