Given a 2nd order system response, how to get equation ?

Click For Summary
SUMMARY

This discussion focuses on deriving the equation for a second-order system response represented in the time domain and converting it into the s-domain. The user seeks guidance on modeling this system mathematically based on a provided graph. Key considerations include understanding the specific system context and the stimulus that generated the time-domain response. Engaging with the community for insights on graph interpretation and mathematical modeling is essential for accurate equation development.

PREREQUISITES
  • Understanding of second-order system dynamics
  • Familiarity with Laplace transforms and s-domain analysis
  • Ability to interpret time-domain response graphs
  • Knowledge of system stimuli and their effects on response
NEXT STEPS
  • Study Laplace Transform techniques for converting time-domain functions to s-domain
  • Research methods for identifying system parameters from time-domain graphs
  • Explore second-order system response characteristics, such as damping ratio and natural frequency
  • Learn about system identification techniques for modeling dynamic systems
USEFUL FOR

Control engineers, system dynamicists, and students in engineering fields who are involved in modeling and analyzing second-order systems.

integralx2
Messages
1
Reaction score
0
I have a 2nd order system response on a graph. How would I go about this to develop the equation that models this system in s- domain when its graphed in time domain like I have ?
 
Physics news on Phys.org
integralx2 said:
I have a 2nd order system response on a graph. How would I go about this to develop the equation that models this system in s- domain when its graphed in time domain like I have ?

Welcome to the PF.

What is the context of the question? What is the system? Can you post the graph? What was the stimulus to create this time domain response graph?
 

Similar threads

Engineering What is wrong in this 2nd order transfer function?
  • · Replies 2 ·
Replies
2
Views
2K
Understanding calculation of 2nd order LTI DE response to step input
  • · Replies 8 ·
Replies
8
Views
1K
Given unit impulse response, obtain differential equation
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad How Can I Build a DIY High Vacuum System Using Copper Instead of Glass?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate When can transitivity emerge from cycle-suppressing dynamics?
  • · Replies 1 ·
Replies
1
Views
548
Why does this method of solving a system of 2nd order differential equations not work?
  • · Replies 13 ·
Replies
13
Views
2K
Graduate Concepts required to define a "system"?
  • · Replies 5 ·
Replies
5
Views
2K
2nd BSc or MSc in physics for physics-PhD in top program in USA
  • · Replies 28 ·
Replies
28
Views
4K
Engineering Signal and Systems: Verify the impulse response of this system
  • · Replies 2 ·
Replies
2
Views
2K
Types of circuits that have a nonlinear response to R
  • · Replies 29 ·
Replies
29
Views
2K