Rise Time - Rise Time in Control Applications

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:

    Just as it is true that a stream cannot rise above its source, so it is true that a national literature cannot rise above the moral level of the social conditions of the people from whom it derives its inspiration.
    James Connolly (1870–1916)

    Mrs. Susan Hart Neville: “Oh, Mr. President, it is so good of you to call on me. Won’t you please walk into the parlor and sit down?”
    President Wilson: “I haven’t time to sit down. Your house is on fire.”
    Woodrow Wilson (1856–1924)

    Above and beyond paying attention to feelings before and after a separation, never threaten your child with leaving or loss of love in an effort to control her behavior. Children believe their parents’ assertions that “I will send you away,” “I won’t love you any more,” “I’ll go away,” and are terrified with good reason. Fear is a very poor way of disciplining a child, and it can cause severe lifelong anxiety.
    Alicia F. Lieberman (20th century)