Sketch output response of system

Click For Summary
The discussion focuses on sketching the output response of a system with a unit step input, where the system has a damping factor of 0.5, a gain factor of 2, and a natural angular frequency of 4 rad/s. The initial attempt includes drawing a step response on an x-y axis, noting an overshoot and a steady state of 2. Participants emphasize the importance of using the damping factor and natural frequency to calculate rise time, settling time, and percent overshoot. These calculations are essential for accurately sketching the system's response. The overall goal is to refine the sketch based on these parameters for a more precise representation.
remi_for
Messages
1
Reaction score
0

Homework Statement



Sketch output respons of system who have a input is a unit step (Amplitude of the system = 1)

Homework Equations



· Damping factor = 0,5

· Gain factor = 2

· Natural angular frequency = 4 Rad/s

The Attempt at a Solution

I have:

1. Draw a step respons in a x-y axis

2. And I have draw the respons with a overshoot. And have a steady state of 2.

But should I use one of the variuable: damping factor and natural angular frequency to something?
 
Physics news on Phys.org
the damping factor and natural frequency will tell you the rise time, settle time, and percent overshoot of the system. calculate them. that will then allow you to draw a rough sketch of the system.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
2
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 39 ·
2
Replies
39
Views
12K
  • · Replies 4 ·
Replies
4
Views
7K