Final Exam Take-Home Portion
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CHME4415 – Process Dynamics and Control – Fall 2021
To:
CHME 4415 Students
From:
CHME 4415 Instructor
Subject: Final Exam – Take Home Portion
Date:
December 7, 2021
This take-home portion of the final exam is an extension of the analysis conducted for Homework #5. You will apply Root Locus and Bode analysis to the system analyzed in Homework #5. A copy of the instructor solution is posted with this assignment for you to use and you should use the values of process parameters from the instructor solution. The analysis conducted here will focus on application of Root Locus and Bode analysis. Assignment is to be submitted to Canvas by 11:59 pm Monday December 13th.
1.
For the system in Homework #5, use Matlab to create a root locus plot for the process. Remember that the dead time must be approximated using the Pade approximation. From the root locus, estimate the ultimate gain and frequency for the process. Make a second Root Locus plot using the tuning results from the instructor solution for the PI case and including the integral control transfer function { (τ
I
s + 1)/ τ
I
s }. Using the root locus plot, identify the value of controller gain that now makes the system unstable. Compare this to the one found without the
integral control transfer functions and discuss any differences.
2.
For the system in Homework #5, using the Bode (frequency response) workbook included with the assignment, create a Bode diagram for your process. Determine the ultimate gain and period of oscillation using this tool. Compare to what you obtained by root locus method.
What to submit:
Please include a pdf copy of your spreadsheet, formatted to fit (no reduced print, please) on 4 pages or less. When preparing the pdf pay attention to formatting so figures and tables are not split across multiple pages. The work should be documented to make it clear what was done, using textboxes for the more extensive comments. You may include small versions of plots from Matlab to document your work and to explain your choice of tuning parameters. A copy of your Excel workbook is also to be submitted for review.
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