How to Derive the Closed-Loop Transfer Function for a Hydraulic Actuator System?

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SUMMARY

The discussion focuses on deriving the closed-loop transfer function for a hydraulic actuator system with a proportional position controller. Participants emphasize the importance of first establishing the transfer function without feedback, suggesting that the user review similar examples from tutorials or textbooks. Key components mentioned include the feedback signal represented by a summation block and the need to clarify the specific transfer function to derive, such as x/v or x/F. The conversation highlights the necessity of simplifying the model before proceeding with the derivation.

PREREQUISITES
  • Understanding of hydraulic actuator systems
  • Knowledge of control theory, specifically proportional control
  • Familiarity with transfer functions and their derivation
  • Experience with feedback systems in control engineering
NEXT STEPS
  • Study the derivation of transfer functions in control systems
  • Learn about feedback control mechanisms in hydraulic systems
  • Review examples of closed-loop transfer functions in textbooks
  • Explore simulation tools for modeling hydraulic actuator systems
USEFUL FOR

Control engineers, students studying control systems, and professionals working with hydraulic actuator systems will benefit from this discussion.

on1591
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Homework Statement



Augment the model to include a proportional position controller and derive the closed-loop transfer function.

The model is an hydraulic actuator system pushing against a mass.


The Attempt at a Solution



I think I have completed the first part correctly with putting in the proportional position controller however I am unsure how to go about deriving the transfer function. Do I need to simplify the model first? Any help would be appreciated

Many Thanks
 

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You'd add the feedback signal using one of those small circle thingos with a + and - on it.

I reckon you have probably worked through a question similar to this in a tutorial or as a textbook example, so look through those sources for ideas if no one replies here.
 
First, you need to come up with the transfer function without the feedback. Have you done this or are you able to?

Did they tell you what transfer function to look for? x/v or x/F or ?
 

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