Consider the closed loop system with a lead/lag controller shown in Fig. 4. K(s) G(s) k (s+a) 1 (s - 1)(s+4) (s+b) Fig.

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Consider The Closed Loop System With A Lead Lag Controller Shown In Fig 4 K S G S K S A 1 S 1 S 4 S B Fig 1 (220.22 KiB) Viewed 29 times

Consider the closed loop system with a lead/lag controller shown in Fig. 4. K(s) G(s) k (s+a) 1 (s - 1)(s+4) (s+b) Fig. 4 Assume that the controller pole is selected such that b=2. 1. Determine the controller zero such that the root locus asymptotes intersect at the point OA=-1. 2. Draw the root locus of the system. 3. Determine the required range of gain K such that the system is underdamped. 4. Analyze the stability of the closed loop system and determine the critical gain Kc. 5. Find a good estimate of the closed loop poles and controller gain that satisfy a damping ratio 5=0.5. What is the settling time that can be achieved in this case?