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:
“My beloved spake, and said unto me, Rise up, my love, my fair one,
and come away.
For lo, the winter is past, the rain is over and gone;
The flowers appear on the earth; the time of the singing of birds is come, and the voice of the turtle is heard in our land;”
—Bible: Hebrew The Song of Solomon (l. II, 10–12)
“It is the time we have now, and all our wasted time sinks into the sea and is swallowed up without a trace. The past is dust and ashes, and this incommensurably wide way leads to the pragmatic and kinetic future.”
—John Ashbery (b. 1927)
“Being a parent is such serious business that we dare not take it too seriously. Children are inherently funny. So are parents. We all are at our funniest when we are desperately struggling to appear to be in control of a new situation.”
—Lawrence Kutner (20th century)