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:
“the petals creak and
begin to rise.
They rise and recurl
to a bud’s form
and clamp shut.
I wait in the dark.”
—Denise Levertov (b. 1923)
“A guide book is addressed to those who plan to follow the traveler, doing what he has done, but more selectively. A travel book, in its purest, is addressed to those who do not plan to follow the traveler at all, but who require the exotic or comic anomalies, wonders and scandals of the literary form romance which their own place or time cannot entirely supply.”
—Paul Fussell (b. 1924)
“Magic is the envelopment and coercion of the objective world by the ego; it is a dynamic subjectivism. Religion is the coercion of the ego by gods and spirits who are objectively conceived beings in control of nature and man.”
—Richard Chase (b. 1914)