2012S Mid Session Quiz Paper.pdf - Cover Type B TO BE RETURNED AT THE END OF THE EXAMINATION THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE SURNAME

# 2012S Mid Session Quiz Paper.pdf - Cover Type B TO BE...

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Cover Type B TO BE RETURNED AT THE END OF THE EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: _______________________ FIRST NAME: _______________________ STUDENT NUMBER: _______________________ COURSE: _______________________ _____________________________________________________________________ MID SEMESTER EXAMINATION SPRING SEMESTER 2012 SUBJECT NAME : ELECTROMECHANICAL AUTOMATION SUBJECT NO. : 48531 DAY/DATE : Saturday / 15 SEP 2012 TIME ALLOWED : __ 02 ___ Hours plus __ 10 ___ Min. reading time START/END TIME : 12:00 / 14:10 NOTES/INSTRUCTIONS TO CANDIDATES: ONLY NON-PROGRAMMABLE CALCULATORS MAY BE USED. THIS IS A CLOSED BOOK EXAMINATION THE MARKS TOTAL 120, BUT IT WILL BE SCALED TO 100%, i.e. DIVIDED BY 1.2, AFTER MARKING. ALL QUESTIONS MAY BE ATTEMPTED. ROUGH WORK CAN BE DONE ON THE LAST THREE BLANK PAGES AT THE END OF EACH ANSWER BOOK. Examiner: Assoc. Prof. Quang Ha Assessor: Dr. Gerard Boardman

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Problem 1. Consider an analogue PID controller for an automation process using an Op-Amp circuit as shown in Figure P1. The control error is the input voltage ) ( ) ( t u t e r and the control signal is the output voltage ) ( ) ( 0 t u t u . Figure P1 a) Obtain the transfer function ) ( ) ( ) ( ) ( ) ( s U s U s E s U s G r o as a function of components 1 R , 2 R , 1 C , 2 C and the Laplace variable s. b) Given k R 100 1 , k R 47 2 , F C 2 . 2 1 , and F C 1 . 0 2 , obtain the dynamic relationship between ) ( t u and ) ( t e in the time domain. If there is a fault with capacitor 1 C , what may happen to the output response of the controlled process?
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