How Do I Plot a Bode Plot for a Given Transfer Function?

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SUMMARY

The discussion focuses on plotting a Bode plot for the transfer function defined as 100/(s^2 + 10s + 100). The user calculates the damping ratio (ksi) as 1/2 and the natural frequency (w) as 10. It is established that the transfer function has no zeros, indicating it is a Low Pass Filter (LPF). The importance of correctly identifying poles and zeros is emphasized for accurate Bode plot representation.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with Bode plot concepts and their significance
  • Knowledge of damping ratio and natural frequency calculations
  • Ability to factor polynomial expressions to find poles
NEXT STEPS
  • Learn how to derive poles from polynomial denominators in transfer functions
  • Study the characteristics of Low Pass Filters (LPF) and their Bode plots
  • Explore MATLAB or Python libraries for plotting Bode plots
  • Investigate the effects of damping ratio on system response and overshoot
USEFUL FOR

Control system engineers, students studying control theory, and anyone interested in analyzing system stability and frequency response through Bode plots.

barneygumble742
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hi,

how can i plot the bode plot for this transfer function:


100
----------------
s^2 + 10s + 100

i have
2*ksi*w=10
w=sqrt(100)=10
thus, ksi=1/2
-ksi*w=-10/2=-5


so the overshoot will be at ksi which is at 1/2 and my magnitude is 1.

i don't see how i can find my poles and zeros. can anyone help me?

thanks
 
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Just factor the denominator to get your poles. There are no zeros in your transfer function, because s does not occur in the numerator. When you have no zeros, is the transfer function LPF, BPF or HPF?
 
BTW, homework and coursework questions should be posted in the appropriate Homework Help forum area of the PF. I'll let this stay here for the moment, but please take care to post your homework and coursework questions in the HH forums in the future.
 

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