Why open loop transfer function ?

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SUMMARY

The discussion centers on the use of open loop transfer functions, specifically G(s)H(s), for drawing root locus diagrams in control systems. Participants highlight that G(s)H(s) is readily available in factor form, simplifying the process of identifying poles and zeros. In contrast, closed loop transfer functions present challenges in root determination, making open loop functions more practical for analysis. This clarity in modeling individual components enhances the overall understanding of system behavior.

PREREQUISITES
  • Understanding of control systems and transfer functions
  • Familiarity with root locus techniques
  • Knowledge of poles and zeros in system dynamics
  • Experience with mathematical modeling of system components
NEXT STEPS
  • Study the derivation of open loop transfer functions in control systems
  • Learn about root locus techniques and their applications
  • Explore the differences between open loop and closed loop transfer functions
  • Investigate methods for finding poles and zeros in complex systems
USEFUL FOR

Control system engineers, students studying control theory, and professionals involved in system dynamics analysis will benefit from this discussion.

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I don't understand why always we use open loop transfer function G(s)H(s) to draw the root locus.
can somebody please clarify my doubt.




Thanks in advance.
 
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because G(s)H(s) is easily available in factor form as it is obtained by simply modelling the transfer functions of individual components and multiplying them . this helps in obtaining the poles and zeroes easily as opposed to closed loop transfer function whose roots are hard to find.
 

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