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:
“We cannot be any stronger in our foreign policy—for all the bombs and guns we may heap up in our arsenals—than we are in the spirit which rules inside the country. Foreign policy, like a river, cannot rise above its source.”
—Adlai Stevenson (1900–1965)
“The true reformer does not want time, nor money, nor coöperation, nor advice. What is time but the stuff delay is made of? And depend upon it, our virtue will not live on the interest of our money. He expects no income, but outgoes; so soon as we begin to count the cost, the cost begins. And as for advice, the information floating in the atmosphere of society is as evanescent and unserviceable to him as gossamer for clubs of Hercules.”
—Henry David Thoreau (1817–1862)
“Who can control his fate?”
—William Shakespeare (1564–1616)