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:
“I held it truth, with him who sings
To one clear harp in diverse tones,
That men may rise on stepping-stones
Of their dead selves to higher things.”
—Alfred Tennyson (1809–1892)
“The fundamental things apply
As time goes by.”
—Herman Hupfeld (1894–1951)
“Teenage boys, goaded by their surging hormones ... run in packs like the primal horde. They have only a brief season of exhilarating liberty between control by their mothers and control by their wives.”
—Camille Paglia (b. 1947)