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:
“If we will admit time into our thoughts at all, the mythologies, those vestiges of ancient poems, wrecks of poems, so to speak, the world’s inheritance,... these are the materials and hints for a history of the rise and progress of the race; how, from the condition of ants, it arrived at the condition of men, and arts were gradually invented. Let a thousand surmises shed some light on this story.”
—Henry David Thoreau (1817–1862)
“It is because the public are a mass—inert, obtuse, and passive—that they need to be shaken up from time to time so that we can tell from their bear-like grunts where they are—and also where they stand. They are pretty harmless, in spite of their numbers, because they are fighting against intelligence.”
—Alfred Jarry (1873–1907)
“Just as men must give up economic control when their wives share the responsibility for the family’s financial well-being, women must give up exclusive parental control when their husbands assume more responsibility for child care.”
—Augustus Y. Napier (20th century)