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:
“If we will admit time into our thoughts at all, the mythologies, those vestiges of ancient poems, wrecks of poems, so to speak, the world’s inheritance,... these are the materials and hints for a history of the rise and progress of the race; how, from the condition of ants, it arrived at the condition of men, and arts were gradually invented. Let a thousand surmises shed some light on this story.”
—Henry David Thoreau (1817–1862)
“To give money to a sufferer is only a come-off. It is only a postponement of the real payment, a bribe paid for silence, a credit system in which a paper promise to pay answers for the time instead of liquidation. We owe to man higher succors than food and fire. We owe to man.”
—Ralph Waldo Emerson (1803–1882)
“Religion differs from magic in that it is not concerned with control or manipulation of the powers confronted. Rather it means submission to, trust in, and adoration of, what is apprehended as the divine nature of ultimate reality.”
—Joachim Wach (1898–1955)