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)
“Ladies and gents. The time has passed. The time has passed. Got to be a better way. I say to you, can’t any longer, oh no, can’t any longer, play off black against old, young against poor.
This country cannot house its houseless. Feed its foodless. They’re demanding a government of the people. Peopled by people. Our faith. Our compassion. Our courage on the gridiron. The basic
indifference that made this country great.”
—Jeremy Larner, U.S. screenwriter, and Michael Ritchie. Bill McKay (Robert Redford)
“There are many things children accept as “grown-up things” over when they have no control and for which they have no responsibility—for instance, weddings, having babies, buying houses, and driving cars. Parents who are separating really need to help their children put divorce on that grown-up list, so that children do not see themselves as the cause of their parents’ decision to live apart.”
—Fred Rogers (20th century)