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:
“Oppression that is clearly inexorable and invincible does not give rise to revolt but to submission.”
—Simone Weil (19091943)
“At about that time I was once sitting at my place and whisperingit was naughty, I knowwith my neighbor. Then you, Herr Professor Rudner, got up from your desk, came calmly down the aisle to me: Did you speak? and slapped me smack in the face. And Ithe fury is inside me to this dayI didnt hit back. Such were the methods of objectivity.”
—Alfred Döblin (18781957)
“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, youll die if you venture too far.”
—Erica Jong, U.S. author. In an essay in The Writer on Her Work, ch. 13 (1980)