Michelangelo wants to draw two Nyquist plots for the following familiar feedback system: (a) Write down the transfer fun

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Michelangelo wants to draw two Nyquist plots for the following
familiar feedback system:

Michelangelo Wants To Draw Two Nyquist Plots For The Following Familiar Feedback System A Write Down The Transfer Fun 1 (5.18 KiB) Viewed 23 times

Michelangelo Wants To Draw Two Nyquist Plots For The Following Familiar Feedback System A Write Down The Transfer Fun 2 (4.83 KiB) Viewed 23 times

(a) Write down the transfer function
(b) Draw (by hand) the Nyquist path.
(c) Calculate the expressions corresponding to “Part C” and “Part
D” of the Nyquist plot.
(d) Draw (by hand) the Nyquist plot for 𝐾 = 1. Fully label the
plot.
(e) Draw (by hand) the Nyquist plot for 𝐾 = −1. Fully label the
plot.
(f) Determine all values of 𝐾 (if any) for which the closed-loop
system is stable.

Michelangelo Wants To Draw Two Nyquist Plots For The Following Familiar Feedback System A Write Down The Transfer Fun 3 (76.29 KiB) Viewed 23 times

r K P(S) у -
P(S) (s + 2)(s + 4)(s + 5)(s + 6) s4(s - 3)
Partial Nyquist plot for P(s) : = (s+2)(s+4)(s+5)(3+6) $4(3-3) 1. * 108 5. 107 -8. * 10° -6. 10° -4. x 10° -1.*109 -5. 107 - 1. * 108