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 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)
“The greater part of our best years has been passed for our generation in these two great worldconvulsions. All will be changed after this war, which spends in one month more than nations earned before in years ... there is no more security in our time than in those of the Reformation or the fall of Rome.”
—Stefan Zweig (18811942)
“For the mother who has opted to stay home, the question remains: Having perfected her role as a caretaker, can she abdicate control to less practiced individuals? Having put all her identity eggs in one basket, can she hand over the basket freely? Having put aside her own ambitions, can she resist imposing them on her children? And having set one example, can she teach another?”
—Melinda M. Marshall (20th century)