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:
“So in majestic cadence rise and fall
The mighty undulations of thy song,
O sightless bard, England’s Monides!
And ever and anon, high over all
Uplifted, a ninth wave superb and strong,
Floods all the soul with its melodious seas.”
—Henry Wadsworth Longfellow (1809–1882)
“[Tolstoy] discovered—and certainly never realized his discovery—he discovered a method of picturing life which most pleasingly and exactly corresponds to our idea of time. He is the only writer I know of whose watch keeps time with numberless watches of his readers.”
—Vladimir Nabokov (1899–1977)
“We as a nation need to be reeducated about the necessary and sufficient conditions for making human beings human. We need to be reeducated not as parents—but as workers, neighbors, and friends; and as members of the organizations, committees, boards—and, especially, the informal networks that control our social institutions and thereby determine the conditions of life for our families and their children.”
—Urie Bronfenbrenner (b. 1917)