Show that when K = 1, the ramp response of the third-order system G(s)= K / (s+1)

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Show that when K = 1, the ramp response of the third-order system 

G(s)= K / (τs+1)

lags behind the input signal (u = at) by three time constants, once the output is changing linearly in time.

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Process Dynamics and Control

ISBN: 978-1119385561

4th edition

Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle

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