Question

6.19 Sketch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with tha

please solve the (a) (b) (d)

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Answer #1

syms k
k = 1;
numerator = [0.5,1.5,1];
denominator = [10,-9,1];
sys = tf(numerator,denominator)

sys =

0.5 s^2 + 1.5 s + 1
-------------------
10 s^2 - 9 s + 1

bode(sys)
Bode Diagram 彝 -5 10 -15 20 -25 -30 彝 -90 -180 -270 -360 10 10 10 10 10 10 Frequency (rad/s)

nyquist(sys)

Nyquist Diagram 0.8 藥.6 0.4 -0.2 -0.4 -0.6 -0.8 1 -0.8 0.6 -0.4 -0.20.0.0.6 0.8 1 Real Axis

rlocus(sys,k)
Root Locus 0.4 k=1 0.3 0.2 2 0.1 -0.2 -0.3 -0.4 2.5 -2 1.5 -1 0.5 0.5 Real Axis (seconds)

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