2_System Behavior 2nd order step.pdf

Y settling time measure of time to achieve steady

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y 0 ) Settling time : measure of time to achieve steady response where ± 10% of KA oscillations are inside the interval Ringing Period: one damped cycle ߬ ൌ 1 ߞ߱ ܶ ߱ 1 ݂
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Characteristic Times – Graphic T d ±10%
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2 nd Order System Calibration Metrics 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0 1 2 3 4 5 6 y/KA Time, sec Output, y(t)/KA Input, U(t) (±1+ exp(-t/ τ )) Settling Time Decay Envelope T d y max2 y max1 Rise Time
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Characteristic Times A good measurement device has a low rise time and a low settling time. However , a device with a low rise time typically has a long settling time (and vice versa) since ζ depends on multiple variables. Usually the damping ratio is 0.6 – 0.8 leads to a tradeoff where the rise and settling times are adequate.
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