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:
“Nothing is so insufferable to man as to be completely at rest, without passions, without business, without diversion, without study. He then feels his nothingness, his forlornness, his insufficiency, his dependence, his weakness, his emptiness. There will immediately rise from the depth of his heart weariness, gloom, sadness, fretfulness, vexation, despair.”
—Blaise Pascal (1623–1662)
“Today we all speak, if not the same tongue, the same universal language. There is no one center, and time has lost its former coherence: East and West, yesterday and tomorrow exist as a confused jumble in each one of us. Different times and different spaces are combined in a here and now that is everywhere at once.”
—Octavio Paz (b. 1914)
“The three-year-old who lies about taking a cookie isn’t really a “liar” after all. He simply can’t control his impulses. He then convinces himself of a new truth and, eager for your approval, reports the version that he knows will make you happy.”
—Cathy Rindner Tempelsman (20th century)