A simple modified and linearized model for the transfer

Chapter 10, Problem 37

(choose chapter or problem)

Problem 47, Chapter 8 discusses a magnetic levitation system with a plant transfer function \(P(s)=-\frac{1300}{s^2-860^2}\) (Galvão, 2003). Assume that the plant is in cascade with an M(s) and that the system will be controlled by the loop shown in Figure 10.20, where G(s) = M(s)P(s) and H = 1. For each M(s) that follows, draw the Nyquist diagram when K = 1, and find the range of closed-loop stability for K > 0.

a. M(s) = -K

b. M(s) = \(-\frac{K(s+200)}{s+1000}\)

c. Compare your results with those obtained in Problem 47, Chapter 8.

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