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

In summary, the conversation is about augmenting a model to include a proportional position controller and deriving the closed-loop transfer function for an hydraulic actuator system pushing against a mass. The person asking for help has completed the first part correctly but is unsure how to derive the transfer function and is seeking advice from others. They are also encouraged to consult tutorial or textbook examples for ideas. The conversation also mentions the need to come up with a transfer function without the feedback and asks if the type of transfer function has been specified.
  • #1
on1591
3
0

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
 

Attachments

  • Picture1.png
    Picture1.png
    16.1 KB · Views: 509
Physics news on Phys.org
  • #2
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.
 
  • #3
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 ?
 

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

What is a closed-loop transfer function?

A closed-loop transfer function is a mathematical representation of the relationship between the input and output of a control system. It describes how the output of the system is affected by the input and the internal dynamics of the system.

How is a closed-loop transfer function different from an open-loop transfer function?

A closed-loop transfer function takes into account the feedback loop in a control system, while an open-loop transfer function does not. In other words, the closed-loop transfer function considers the effect of the output on the input, while the open-loop transfer function only looks at the input and output relationship.

What is the significance of a closed-loop transfer function in control system design?

The closed-loop transfer function is essential in control system design as it allows for the analysis and design of control systems that are stable and have good performance. It helps in understanding how the system responds to disturbances and how to improve the system's performance.

How is the closed-loop transfer function related to the system's stability?

The stability of a control system can be determined by analyzing the closed-loop transfer function. If the transfer function has poles (roots of the denominator) in the left half of the complex plane, the system is stable. If the poles are in the right half of the complex plane, the system is unstable.

Can the closed-loop transfer function be used to evaluate the performance of a control system?

Yes, the closed-loop transfer function can be used to evaluate the performance of a control system. By analyzing the transfer function, we can determine the steady-state error, rise time, settling time, and other performance metrics of the system. This information can then be used to improve the system's performance if needed.

Similar threads

Oven controller block diagram, transfer function and temperature calcs
Replies
24
Views
4K
Engineering Converting a series connected transfer function to the state space model
Replies
1
Views
1K
From differential equations to transfer functions
Replies
5
Views
2K
Which data set should I trust more?
Replies
1
Views
1K
Derive analytically the transconductance transfer function
Replies
1
Views
2K
Engineering Closed Loop Stability Criterion: Find the values for closed loop stability
Replies
2
Views
1K
Does Wien bridge oscillator have a closed-loop gain?
Replies
27
Views
6K
What are the Closed Loop Transfer Function Parameters for a PI Controller?
Replies
26
Views
4K
Factoring Higher Order Polynomials: A Practical Method for Control System Design
Replies
1
Views
2K
Control system - open loop transfer function and open loop gain
Replies
8
Views
7K

Hot Threads

Recent Insights

Back
Top