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:
“Even to this day it is easier than it ought to be for me to get a rise out of an American by telling him something about himself which is equally true about every human being on the face of the globe. He at once resents this as a disparagement and an assertion on my part that people in other parts of the globe are not like that, and are loftily superior to such weaknesses.”
—George Bernard Shaw (1856–1950)
“There is no passion more dominant and instinctive in the human spirit than the need of the country to which one belongs.... The time comes when nothing in the world is so important as a breath of one’s own particular climate. If it were one’s last penny it would be used for that return passage.”
—Gertrude Stein (1874–1946)
“I have not ceased being fearful, but I have ceased to let fear control me. I have accepted fear as a part of life, specifically the fear of change, the fear of the unknown, and I have gone ahead despite the pounding in the heart that says: turn back, turn back, you’ll die if you venture too far.”
—Erica Jong, U.S. author. In an essay in The Writer on Her Work, ch. 13 (1980)