Consider a closed-loop system with unity feedback whose transfer function open loop is shown below: G(s)=(K)/(s(s+3)) Based on the second-order model, find the value of K for critical damping. Find range

Consider a closed-loop system with unity feedback whose transfer function

open loop is shown below:

G(s)=(K)/(s(s+3))

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

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