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:
“Creation destroys as it goes, throws down one tree for the rise of another. But ideal mankind would abolish death, multiply itself million upon million, rear up city upon city, save every parasite alive, until the accumulation of mere existence is swollen to a horror.”
—D.H. (David Herbert)
“To be perfectly, brutally honest, those of us who are still carrying diaper everywhere we go are not at our most scintillating time of life....We need to remember that at one time in our lives, we all had senses of humor and knew things that were going on in the world. And if we just keep our social networks open, there will be people ready to listen when we once again have intelligent things to say.”
—Louise Lague (20th century)
“Playing at make-believe, the young child becomes the all-powerful person he cannot be in reality. In pretending, the child takes control of his otherwise powerless position.”
—Joanne E. Oppenheim (20th century)