Question :1

For the unity feedback control system with an open-loop transfer function shown below:

G(s) = K(s-2)(s-4) / s(s+5)

Draw root loci based on the following requirements:

a) Are there asymptotes? If no, explain why? If yes, find them.

b) Are there infinity zeros? Why?

c) Are there break-away and break-in points? If yes, find them and if no, explain why?

d) Find jw-crossing points. 

Question : 2

2.For the unity feedback control system with an open-loop transfer function as follow:

G (s) = (s+35) / (s+1)(s+20)(s+100)

a) Make the two tables for magnitude and phase slopes for Bode plots.

b) Draw two Bode plots clearly showing every break frequency.

c) Judge the stability as per Bode plots and tell why?

d) Calculate magnitude in dB for w=0.1

e) Calculate phase in degree for w=0.1