Proportional control system: Calculating the change in offset

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SUMMARY

The discussion focuses on calculating the transfer function for a proportional control system with two input sources, specifically addressing the O2 input of 50. The established formula for the transfer function is given as Oo/Oi = G/(1 + GH), which applies when one input source is set to zero. The key conclusion is that the presence of multiple inputs necessitates the definition of separate transfer functions for accurate analysis.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with proportional control systems
  • Knowledge of input-output relationships in systems
  • Basic grasp of block diagram representation
NEXT STEPS
  • Study the derivation of transfer functions in control systems
  • Learn about block diagram algebra for multiple inputs
  • Explore the effects of varying input parameters on system behavior
  • Investigate stability analysis in proportional control systems
USEFUL FOR

Students in engineering disciplines, control system engineers, and anyone involved in the design and analysis of proportional control systems will benefit from this discussion.

James FC
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Homework Statement


I'm having trouble worki out the transfer function of the block. Whats confusing me is the input of O2 input of 50. If that wasn't there I know the transfer function would be Oo/Oi=G/1+GH.

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The Attempt at a Solution

 

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The answer is simple: You have two input sources. Hence, we can define two different transfer functions (one of the sources is set to zero).
 

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