(Solved): (b) Consider the feedback configuration in Fig. 3, where \( P(s)=\frac{1}{s^{ ...

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(b) Consider the feedback configuration in Fig. 3, where \( P(s)=\frac{1}{s^{2}+3 s} \) and \( H(s)=K \) is a positive real number. Find the minimum value of FIGURE 3: The feedback interconnection for Question 2.b \( K \) so that the steady-state error \( y(\cdot)-r(\cdot) \) when \( r(\cdot) \) is a Heaviside step is less than \( \frac{1}{10} \).