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:
“Lift every voice and sing till earth and heaven ring,
ring with the harmonies of liberty.
Let our rejoicing rise high as the listening skies;
Let it resound loud as the rolling sea.”
—James Weldon Johnson (1871–1938)
“The American is said to become full-flavored, and in time a most all-round man, through the polish which Europe can impart.”
—M. E. W. Sherwood (1826–1903)
“There is one thing you and I as parents cannot do, not do we want to do if we really think about it, and that’s control our children’s will—that spirit that lets them be themselves apart from you and me. They are not ours to possess, control, manipulate, or even to make mind.”
—Barbara Coloroso (20th century)