Sketch output response of system

In summary, the conversation discusses creating a sketch of the output response of a system with a unit step input and an amplitude of 1. The system has a damping factor of 0.5, gain factor of 2, and natural angular frequency of 4 Rad/s. The conversation also mentions using the damping factor and natural frequency to calculate the rise time, settle time, and percent overshoot of the system in order to create a rough sketch.
  • #1
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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?
 
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  • #2
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.
 

1. What is a Sketch output response of a system?

A Sketch output response of a system is a graphical representation of how the system responds to an input signal, typically in the form of a time-domain plot. It shows the output of the system as a function of time, allowing for analysis and evaluation of the system's behavior.

2. How do you sketch the output response of a system?

To sketch the output response of a system, you first need to have a good understanding of the system's transfer function or differential equation. Then, you can use techniques such as hand-drawing or computer software to plot the output response based on different input signals or system parameters.

3. What can a Sketch output response tell us about a system?

A Sketch output response can provide valuable information about a system's stability, steady-state behavior, and transient response. It can also help identify any potential issues or limitations of the system, such as overshoot or ringing.

4. How does the input signal affect the Sketch output response of a system?

The input signal plays a crucial role in determining the output response of a system. Different input signals, such as step, ramp, or sinusoidal, can elicit different responses from the system. This can help in understanding the system's behavior under various conditions.

5. Can a Sketch output response be used to design or improve a system?

Yes, a Sketch output response can be a useful tool in system design and improvement. By analyzing the response, engineers can identify areas for improvement and make adjustments to the system's parameters or components to achieve desired performance. This can also help in predicting and avoiding potential issues with the system.

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