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:
“Man will become immeasurably stronger, wiser, and subtler; his body will become more harmonious, his movements more rhythmic, his voice more musical. The forms of life will become dynamically dramatic. The average human type will rise to the heights of an Aristotle, a Goethe, or a Marx. And above these heights, new peaks will rise.”
—Leon Trotsky (18791940)
“O time that cutst down all!
And scarce leavst here
Memoriall
Of any men that were.”
—Robert Herrick (15911674)
“Surrealism, n. Pure psychic automatism, by which it is intended to express, whether verbally or in writing, or in any other way, the real process of thought. Thoughts dictation, free from any control by the reason, independent of any aesthetic or moral preoccupation.”
—André Breton (18961966)