Consider a closed-loop system with unity feedback whose transfer function
open loop is shown below:

[tex]G(s)=\frac{K}{s(s+3)}[/tex]

Based on the second-order model, find the value of K for critical damping. Find range of K for which the closed-loop system with unity feedback satisfies the following specifications (unit-step input):
• Rise Time ≤ 100ms
• Peak Time ≤ 120ms
• Peak Overshhot ≤ 1,11
• Settling Time ≤ 150ms
• Steady State Error ≤ 0,05