For a leadlag unit, show that for a step input of magnitude M: (a) The value of

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For a lead€“lag unit,

K(t,s+1) Y(s) X (s) T,s +1

show that for a step input of magnitude M:
(a) The value of y at t = 0+ is given by y(0+) = KM Ï„a/Ï„1.

(b) Overshoot occurs only for Ï„> Ï„1.

(c) Inverse response occurs only for Ï„< 0.

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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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