Question: 2. (20 points) A feedback control system is shown in Figure 2, where the transfer function of the plant is given as G(s)=(s+1)(s+5)1. (a) Determine

2. (20 points) A feedback control system is shown in Figure 2, where the transfer function of the plant is given as G(s)=(s+1)(s+5)1. (a) Determine the value of K such that the closed-loop system responds to a step input with a maximum overshoot of 20%. (b) With the K value obtained in (a), find the corresponding settling time, peak time and rise time of the closed-loop system. What are the effects of increasing the value of K on the overshoot and the settling time? igure 2

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