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:
“... the French know that you must not succeed you must rise from the ashes and how could you rise from the ashes if there were no ashes, but the Germans never think of ashes and so when there are ashes there is no rising, not at all and every day and in every way this is clearer and clearer.”
—Gertrude Stein (1874–1946)
“The value of life lies not in the length of days but in the use you make of them; he has lived for a long time who has little lived.”
—Michel de Montaigne (1533–1592)
“The glance is natural magic. The mysterious communication established across a house between two entire strangers, moves all the springs of wonder. The communication by the glance is in the greatest part not subject to the control of the will. It is the bodily symbol of identity with nature. We look into the eyes to know if this other form is another self, and the eyes will not lie, but make a faithful confession what inhabitant is there.”
—Ralph Waldo Emerson (1803–1882)