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:
“Every church is a stone on the grave of a god-man: it does not want him to rise up again under any circumstances.”
—Friedrich Nietzsche (1844–1900)
“The time is out of joint—O cursed spite,
That ever I was born to set it right!”
—William Shakespeare (1564–1616)
“Physical nature lies at our feet shackled with a hundred chains. What of the control of human nature? Do not point to the triumphs of psychiatry, social services or the war against crime. Domination of human nature can only mean the domination of every man by himself.”
—Johan Huizinga (1872–1945)