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: Rise Time
Famous quotes containing the words rise, time and/or control:
“The best way to rise in society is to use all possible means of persuading people that one has already risen in society.”
—François, Duc De La Rochefoucauld (16131680)
“Why is it so difficultso degradingly difficultto bring the notion of Time into mental focus and keep it there for inspection? What an effort, what fumbling, what irritating fatigue!”
—Vladimir Nabokov (18991977)
“Not being able to control events, I control myself; and I adapt myself to them, if they do not adapt themselves to me.”
—Michel de Montaigne (15331592)