Question about system overshoot

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SUMMARY

The maximum overshoot for a system with a steady state output of zero is theoretically infinite, as indicated by the formula |Ymax - Ys.s| / Ys.s. This presents a challenge in practical system design, particularly when aiming for controlled overshoot. To address this, it is essential to determine the minimum damping ratio and natural frequency necessary for system stability and performance optimization.

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mazen_zone
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I want to get the maximum overshoot for a system whose steady state output is zero (the output is the deviation from an equilibrium point), substituting in the maximum overshoot formula |Ymax-Ys.s|/Ys.s will yield an infinity, so how to do it?

thanks
 
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The maximum overshoot you can achieve is infinity, what's the problem? Why are you designing a system for maximum overshoot?
 
Mech_Engineer said:
The maximum overshoot you can achieve is infinity, what's the problem? Why are you designing a system for maximum overshoot?

I need to get the minimum damping ratio and natural frequency
 

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