Sketch (by hand) the Nyquist plot of the system G(s) = 1/(s+1)^2. Then, determine a range...

Question

Question

Sketch (by hand) the Nyquist plot of the system G(s) = 1/(s+1)^2.

Then, determine a range of K that makes the system stable.

engineering Electrical-Engineering

Answer 1

Answer #1

For determining the Nyquist plot:

1) See the open loop transfer function G(s).

2) Replace s with jw.

3) Find the magnitude of G(jw) with respect to w.

4) Find phase of G(jw) with respect to w.

5) Plot the polar plot for w=0 to infintiy.

6) Take image of polar plot with respect to real axis, determining w=-infinity to 0.

7) plot nyquist contour.

8) finally we have nyquist plot.

Answer 2

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