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

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To derive the equation for a second-order system response from a time-domain graph, one must first identify the system's characteristics, such as damping ratio and natural frequency. Providing the graph and context of the system is crucial for accurate analysis. The stimulus that generated the time-domain response should also be clarified, as it influences the system's behavior. Once these factors are established, the appropriate mathematical model can be developed in the s-domain. Understanding these elements is essential for creating an accurate representation of the system.
integralx2
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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 ?
 
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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?
 
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