Figure E3.3 shows a pulse function,u(t). (a) From the information shown in Fig. 3.3, calculate the pulse

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Figure E3.3 shows a pulse function,u(t).
(a) From the information shown in Fig. 3.3, calculate the pulse width, tw.
(b) Express u(t) as the sum of simpler functions (some perhaps translated in time), whose transforms can be obtained from Table 3.1.

(c) Find U(s).
(d) What is the area under the pulse?

Slope = -a u(t) tw t Figure E3.3 Triangular pulse function.

flt) Time, t (a)

 Fig. 3.3

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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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