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:
“Just as it is true that a stream cannot rise above its source, so it is true that a national literature cannot rise above the moral level of the social conditions of the people from whom it derives its inspiration.”
—James Connolly (1870–1916)
“It is a truer truth, it is better and fairer news, and no time will ever shame it, or prove it false.”
—Henry David Thoreau (1817–1862)
“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)