Transition Time - Rise Time in Control Applications

Rise Time in Control Applications

In control theory, for overdamped systems, rise time is commonly defined as the time for a waveform to go from 10% to 90% of its final value.

The quadratic approximation for normalized rise time for a 2nd-order system, step response, no zeros is:

where ζ is the damping ratio and ω0 is the natural frequency of the network.

However, the proper calculation for rise time from 0 to 100% of an under-damped 2nd-order system is:

where ζ is the damping ratio and ω0 is the natural frequency of the network.

Read more about this topic:  Transition Time

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