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:
“It is the dissimilarities and inequalities among men which give rise to the notion of honor; as such differences become less, it grows feeble; and when they disappear, it will vanish too.”
—Alexis de Tocqueville (1805–1859)
“O Time and Change!—with hair as gray
As was my sire’s that winter day,
How strange it seems, with so much gone
Of life and love, to still live on!”
—John Greenleaf Whittier (1807–1892)
“The poets were not alone in sanctioning myths, for long before the poets the states and the lawmakers had sanctioned them as a useful expedient.... They needed to control the people by superstitious fears, and these cannot be aroused without myths and marvels.”
—Strabo (c. 58 B.C.–c. 24 A.D., Greek geographer. Geographia, bk. 1, sct. 2, subsct. 8.