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

[on1591]

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

 

[NascentOxygen]

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.

 

[rude man]

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 ?