Question

Is there anyone who has some time that can teach me about how to develop a bode plot from a transfer function, and also about root locus? My professor is completely worthless, and the textbook is no help either.

Answer 1

Bode plots are a approximation of a transfrer funciton, output/input, where the verticle axis represents gain and the horizontal axis represents frequency. I the zeros, numerator, and poles, denominator, are separated by 10 times frequency, then the plot is simple. When you come to a pole the plot will descend 6dB per octive, twice frequecy, or 20 dB per decade, 10 times frequency, to infinity or to a zero, at which time the zero pole cancel leveling off the plot. Generally your transfer function should have the zeros and poles in ascending order and the plot would go from zero frequency until you reach your first pole. You should be able to read bandwith and gain of the transfer function with ease. With less than 10 time separation the plot could get more difficult and some calculations may be required.

Answer 2

ima tertle

Answer 3

bode plot is a visualization to tell you about the stability of your system and through zeros and poles also help to see the behaviour of your system with passage of time
i.e a system may get to its stable value quickly etc