MEC 709 Lecture Notes - Lecture 2: Step Response, Shinkansen
6 Jul 2018
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Specifications: time constant (cid:523) =1/a (cid:524) The time for to decay to 37% of its initial value. The time it takes for the step response to rise to 63% of its final value. Related to the speed at which the system responds to a step input (transient response specification ) The parameter a (the exponential frequency) is the initial rate of change of the exponential at t=0. The pole is located at the reciprocal of the time constant- farther the pole from the imaginary axis, the faster the transient response. The time for the waveform to go from 0. 1 to 0. 9 of its final value =2. 2 x time constant. Q: how did we get this: settling time (cid:523) (cid:524) The time for the response to reach, and stay within, 2% of its final value (i. e. 98% of the final value)= 4 x time constant q: how did we get this? (c) 2017 farrokh sharifi.
