ELE 639 Study Guide - Final Guide: Ryerson University, Linear Independence, Uch

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Your student number: this is an individual test. Its duration is three (3) hours: please note that the last two pages of this exam contain useful formulae and graphs. Please detach the pages for convenient use during the exam, and do not submit them with your paper: answer all five questions. Clearly show steps taken in answering each question. If necessary, you may write on the backside of the pages. Please indicate clearly where your calculations are and make sure to write your final answers in appropriate boxes, whenever indicated. Root locus analysis and gain selection, pd control, response specifications, second order model. Consider a certain closed loop unit feedback control system under proportional + derivative. Control ((cid:1846)(cid:3031)(cid:3404)2(cid:4667) where the controller and the process transfer functions are as follows: (cid:1833)(cid:3030)(cid:4666)(cid:1871)(cid:4667)(cid:3404)(cid:1837)(cid:3043) (cid:4666)1(cid:3397)(cid:1846)(cid:3031)(cid:1871)(cid:4667) (cid:1833)(cid:4666)(cid:1871)(cid:4667)(cid:3404) Part a (10 marks) - root locus analysis. Sketch a root locus plot of the system.