For the system in Fig. 5.63, (a) Find the locus of closed-loop roots with respect to K

Chapter 5, Problem 5.32

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For the system in Fig. 5.63, (a) Find the locus of closed-loop roots with respect to K. (b) Find the maximum value of K for which the system is stable. Assume K = 2 for the remaining parts of this problem. (c) What is the steady-state error (e = r y) for a step change in r? (d) What is the steady-state error in y for a constant disturbance w1? (e) What is the steady-state error in y for a constant disturbance w2? (f) If you wished to have more damping, what changes would you make to the system?

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