Análise de Estabilidade pelo Nyquist

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Problem 6.19PP
Sketch the Nyquist plot based on the Bode plots for each of the following systems, and then 
compare your result with that obtained by using the Matlab command nyquist; Don’t be 
concerned with the details of exactly where the curve goes, but do make sure it crosses the real 
axis at the right spot, has the correct number o f -1 encirclements and goes off to infinity in the 
correct direction.
(a) X G (S ) =
(b) K C ? ( s y = i s -+- 1 0 )C ^ + 2>2
+ 1 0 ) ( j + 1 )
(C ) K C ^ i ^ s y —
i f '\ + 1 0 ) ( j + 1 )
(C ) K C ^ i ^ s y — ( , _ j _ i o o ) ( ; 5 + 2 ) a
(d) Using your plots, estimate the range of K for which each system is stable, and qualitatively 
verify your result by using a rough sketch of a root-locus plot.
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