F11_ECH157_HW4

F11_ECH157_HW4 - University of California, Davis Department...

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University of California, Davis ECH 157 - Process Dynamics and Control Fall 2011 Homework Problem Set # 4 Assigned : Wednesday, November 2. Due : Friday, November 11. Reading Assignment : Lecture notes, Chapters 7, 8, 10 and 11 of the textbook. Instructions : Please include your name on the ±rst page, label the problems clearly and put them in the right order, and staple your papers. You are required to work on, and submit your solutions to, the frst Four problems only . Required Problems: 1. A process is described by the transfer function G 1 ( s ) = K (1 - s )( τs + 1) (a) Calculate and plot the response y ( t ) to a step change in the input u ( t ) of magnitude M , when M = 2 , K = 3 and τ = 3 . (b) What would be the step response if the process also included a time delay, i.e., G 2 ( s ) = e - 2 s G 1 ( s ) ? (c) If a ±rst-order Pade approximation were used in place of the time delay, what transfer function would approximate
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F11_ECH157_HW4 - University of California, Davis Department...

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