How to Draw a Bode Plot from a Given Transfer Function with a Zero at s=1

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SUMMARY

The discussion centers on drawing a Bode plot from the transfer function H(s) = (2000s (s - 1)) / (s + 2000)^2, specifically addressing the zero at s = 1. It is confirmed that the amplitude spectrum remains unchanged compared to a zero in the left-half plane, while the phase spectrum will differ significantly. Participants emphasize that the approach to plotting remains standard, despite the presence of the negative sign in the zero's location.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with Bode plot construction techniques
  • Knowledge of amplitude and phase spectrum analysis
  • Basic concepts of poles and zeros in system dynamics
NEXT STEPS
  • Study the effects of zeros in the right-half plane on Bode plots
  • Learn how to calculate phase shifts for different types of poles and zeros
  • Explore software tools for generating Bode plots, such as MATLAB or Python's Matplotlib
  • Investigate the implications of phase spectrum changes on system stability
USEFUL FOR

Control engineers, electrical engineers, and students studying system dynamics who are interested in Bode plot analysis and transfer function behavior.

Jon Trausti
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Homework Statement


Hi,

I'm given a transfer function, and am suppose to draw Bode plot from it.

H(s) = ( 2000s (s - 1) ) / (s + 2000)^2

I'm wondering what to do for the zero at s = 1? Should I just solve this normally, as every example we have done and every example I've seen uses simple zeros/poles (with "+" in the middle, and positive number.

So any idea? :)

p.s. I'm not looking for solution, I'm just little puzzled by the minus
 
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Jon Trausti said:
I'm wondering what to do for the zero at s = 1?
It'll have the same amplitude spectrum as a zero in the left-half plane, so just go about it like you normally would. There's a significant difference in its phase spectrum, however, if you need to include it.
 
ok, great thank you!
 

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