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:
“I don’t say ‘tis impossible for an impudent man not to rise in the world, but a moderate merit with a large share of impudence is more probable to be advanced than the greatest qualifications without it.”
—Mary Wortley, Lady Montagu (1689–1762)
“But at my back from time to time I hear
The sound of horns and motors, which shall bring
Sweeney to Mrs. Porter in the spring.”
—T.S. (Thomas Stearns)
“In Vietnam, some of us lost control of our lives. I want my life back. I almost feel like I’ve been missing in action for twenty-two years.”
—Wanda Sparks, U.S. nurse. As quoted in the New York Times Magazine, p. 72 (November 7, 1993)