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

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Consider The Closed Loop System With A Lead Lag Controller Shown In Fig 4 K S G S 1 S B S 1 S 4 K S A Fig 1 (40.86 KiB) Viewed 20 times

Consider the closed loop system with a lead/lag controller shown in Fig. 4. K(s) G(s) 1 (s+b) (s - 1)(s+4) k (s+a) 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 CA=-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 K. 5. Find a good estimate of the closed loop poles and controller gain that satisfy a damping ratio =0.5. What is the settling time that can be achieved in this case?