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:
“I have a toothache today. I never seem to be able to rise above a toothache. It makes me want to howl, break things, pull noses, tweak ears, screech.”
—John Colton (1886–1946)
“I love the smell of napalm in the morning. You know, one time we had to hailbomb, for twelve hours, and when it was all over I walked up.... We didn’t find one of ‘em, not one stinking dink
body. That smell, you know, that gasoline smell. The whole hill. It smelled like ... victory.”
—John Milius, U.S. screenwriter, Francis Ford Coppola (b. 1939)
“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)