Determining Transfer Function from Pole-Zero Chart

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SUMMARY

The transfer function derived from the given pole-zero chart is confirmed as H(s) = 1/[(s-(-2+j2))(s-(-2-j2))] = 1/(s^2 + 4s + 8). This function accurately represents the system characterized by the specified poles at -2+j2 and -2-j2. The calculations align with standard methods for determining transfer functions from pole-zero representations.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with pole-zero plots
  • Knowledge of complex numbers and their operations
  • Basic skills in algebraic manipulation
NEXT STEPS
  • Study the derivation of transfer functions from pole-zero plots
  • Learn about stability analysis using pole locations
  • Explore the implications of complex poles on system response
  • Investigate the use of MATLAB for simulating transfer functions
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Control engineers, students in electrical engineering, and anyone involved in system dynamics and analysis will benefit from this discussion.

ur5pointos2sl
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Hello-

I need to determine the transfer function given the pole-zero chart below. I came up with the following for the transfer function:

H(s) = 1/[(s-(-2+j2)*(s-(-2-j2))] = 1/(s^2+4s+8)

Could someone verify if this is inded the correct transfer function?

Thanks
 

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