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:
“To rise from error to truth is rare and beautiful.”
—Victor Hugo (1802–1885)
“A house means a family house, a place specially meant for putting children and men in so as to restrict their waywardness and distract them from the longing for adventure and escape they’ve had since time began.”
—Marguerite Duras (b. 1914)
“The human mind is indeed a cave swarming with strange forms of life, most of them unconscious and unilluminated. Unless we can understand something as to how the motives that issue from this obscurity are generated, we can hardly hope to foresee or control them.”
—Charles Horton Cooley (1864–1929)