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: Transition Time
Famous quotes containing the words rise, time and/or control:
“A man perfects himself by working. Foul jungles are cleared away, fair seed-fields rise instead, and stately cities; and withal the man himself first ceases to be a jungle, and foul unwholesome desert thereby.... The man is now a man.”
—Thomas Carlyle (1795–1881)
“I have often felt as though I had inherited all the defiance and all the passions with which our ancestors defended their Temple and could gladly sacrifice my life for one great moment in history. And at the same time I always felt so helpless and incapable of expressing these ardent passions even by a word or a poem.”
—Sigmund Freud (1856–1939)
“The mind is the greatest of all human forces. Control the mind and you control the body.”
—Griffin Jay, Randall Faye, and Lew Landers. Armand Tesla (Bela Lugosi)