The dynamic model between an output variable y and an input variable u can be expressed by

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The dynamic model between an output variable y and an input variable u can be expressed by d'y(t) dy(t) + y(1) = 4du(t – 2) +35 — и(( — 2) dt dt? dt

(a) Does this system exhibit an oscillatory response after an arbitrary change in u?
(b) What is the steady-state value of y when u(tˆ’2)= 1?
(c) For a step change in u of magnitude 1.5, what is y(t)?

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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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Question Posted: Jul 30, 2018 01:40 PM

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The dynamic model between an output variable y and an input variable u can be expressed by

Question:

d'y(t) dy(t) + y(1) = 4du(t – 2) +35 — и(( — 2) dt dt? dt

Step by Step Answer:

Take the Laplace transform assuming zero initial conditions s 2 Ys 3sYs Ys 4 e 2 s sXs e 2s ...View the full answer

Process Dynamics and Control

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