Sketch output response of system

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SUMMARY

The discussion focuses on sketching the output response of a system with a unit step input, characterized by a damping factor of 0.5, a gain factor of 2, and a natural angular frequency of 4 Rad/s. The user has successfully drawn the step response on an x-y axis, noting an overshoot and a steady state of 2. To enhance the accuracy of the sketch, it is essential to calculate the rise time, settling time, and percent overshoot using the damping factor and natural angular frequency.

PREREQUISITES
  • Understanding of control system dynamics
  • Familiarity with step response analysis
  • Knowledge of damping factor and natural frequency concepts
  • Ability to interpret and sketch graphical data
NEXT STEPS
  • Calculate rise time and settling time using the damping factor and natural frequency
  • Learn about percent overshoot in control systems
  • Explore MATLAB for simulating step responses
  • Study Bode plots for frequency response analysis
USEFUL FOR

Control system engineers, students studying system dynamics, and anyone involved in analyzing and sketching system responses to inputs.

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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.
 

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