Effect of Poles & Zeros on the bode plot

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SUMMARY

The discussion focuses on the effects of poles and zeros on the magnitude graph of a discrete transfer function. Poles are defined as the roots of the denominator, while zeros are the roots of the numerator. Stability of the system is ensured when poles are located in the left half of the s-plane. The conversation also references the "Rules for hand-made bode plots" as a useful resource for understanding these concepts.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Knowledge of poles and zeros in system stability
  • Familiarity with Bode plot construction techniques
  • Basic grasp of discrete-time systems
NEXT STEPS
  • Study the impact of pole placement on system stability
  • Learn how to construct Bode plots for discrete transfer functions
  • Explore the relationship between zeros and system response
  • Investigate the "Rules for hand-made bode plots" for practical applications
USEFUL FOR

Students and professionals in control systems, electrical engineering, and anyone involved in analyzing discrete-time systems and their frequency response.

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Homework Statement



What are the effects of poles and zeros of a transfer function on its magnitude graph.
Note: The Transfer function is discrete.

Homework Equations



zeros= roots of numerator
poles=roots of denominator

The Attempt at a Solution



I really don't have any idea. I just know that the poles must be ob the left half s-plane for the system to be stable.
 
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http://en.wikipedia.org/wiki/Bode_plot"

Have a look at the "Rules for hand-made bode plots".
 
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