2021 04 21 midterm

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Control Systems (Prof. Casella) Midterm Exam – Apr 21st, 2021  This PDF file has 4 pages. You don't need to print it out, you can read it directly on your PC screen.  Write your answers preferably on white sheets of paper and with a blue or black pen, to maximize readability of the scans. Please try as much as possible to write in a clear and ordely manner.  Please do not hand in your minutes, only clean and well-written answers to the questions. It is not necessary to report all the mathematical derivations, though the main ones could be helpful to understand the process you followed to solve the problems.  You are not allowed to leave the virtual classroom unless you upload the exam paper or withdraw from the exam.  You are not allowed to consult books or lecture notes of any kind, nor to communicate with other people with any means during the exam.  When you are finished, make a single-PDF scan of your answer sheets named with your Person Code (e.g. 10035506.pdf) and upload it via Forms. Please make sure the PDF file has the answers in the same order as the questions, to expedite correction.  In case of problems with the Forms submission process, you can send the pdf file to [email protected]. Please only consider this as a last-resort backup solution.  The clarity and order of your answers will influence how your exam is graded. Question 1 Consider a standard electrical oven, which has two modes to heat and cook the food. The first mode is by convective heat transfer: electrical heating elements heat up the air in the oven, which in turn heats up the food and the walls of the oven, possibly with the help of a fan. For this heating mode, a thermostat is provided, and the user can set a desired temperature of the air in the oven with a knob. The…