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:
“What dire offence from am’rous causes springs,
What mighty contests rise from trivial things,
I sing—”
—Alexander Pope (1688–1744)
“Women had to deal with the men’s response when the women wanted more time “out” of the home; men now must deal with the women’s response as men want more time “in.””
—Kyle D. Pruett (20th century)
“Men who have been raised violently have every reason to believe it is appropriate for them to control others through violence; they feel no compunction over being violent to women, children, and one another.”
—Frank Pittman (20th century)