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:
“Thou gav’st me life, but mortal; for that one
Favour I’ll make full satisfaction:
For my life mortal, rise from out thy hearse,
And take a life immortal from my verse.”
—Robert Herrick (1591–1674)
“A lunatic may be “soothed,”... for a time, but in the end, he is very apt to become obstreperous. His cunning, too, is proverbial, and great.... When a madman appears thoroughly sane, indeed, it is high time to put him in a straight jacket.”
—Edgar Allan Poe (1809–1849)
“Teenage boys, goaded by their surging hormones ... run in packs like the primal horde. They have only a brief season of exhilarating liberty between control by their mothers and control by their wives.”
—Camille Paglia (b. 1947)