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:
“When we raise our children, we relive our childhood. Forgotten memories, painful and pleasurable, rise to the surface.... So each of us thinks, almost daily, of how our own childhood compares with our childrens, and of what our childrens future will hold.”
—Richard Louv (20th century)
“There may be always a time of innocence.
There is never a place.”
—Wallace Stevens (18791955)
“Every expansion of government in business means that government in order to protect itself from the political consequences of its errors and wrongs is driven irresistibly without peace to greater and greater control of the nations press and platform. Free speech does not live many hours after free industry and free commerce die.”
—Herbert Hoover (18741964)