K K G(S) = (s + 10)(s + 2)(s – 1) $3 + 1152 +8s - 20 Below is the Nyquist plot for the open loop transfer function G(s),

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K K G S S 10 S 2 S 1 3 1152 8s 20 Below Is The Nyquist Plot For The Open Loop Transfer Function G S 1 (115 KiB) Viewed 52 times

K K G(S) = (s + 10)(s + 2)(s – 1) $3 + 1152 +8s - 20 Below is the Nyquist plot for the open loop transfer function G(s), with K = 40, as plotted by Matlab. Nyquist Diagram 0.4 0.3 0.2 . 0.1 Imaginary Axis -0.1 -0.2 -0.3 -0.4 -2 -1.5 -0.5 0 -1 Real Axis (a) Sketch the Nyquist path for G(s), including the poles and zeros of the open loop transfer function. (b) Use the Nyquist criterion to evaluate the stability of the closed loop system with K = 40. (c) Find the points where the Nyquist plot crosses the real axis as a function of K. (d) For what values of K is the system stable?