2020 07 23 exam

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Control Systems (Prof. Casella) Written Exam – July 23rd, 2020 Notices:  This PDF file has 3 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 the following control system. The controlled variable y is measured by a very fast sensor, that has negligible dynamics, but is affected by a lot of high- frequency noise n. The low-pass filter F(s) is thus introduced to reduce the effect of such sensor noise on the system performance. Discuss all the effects that the filter can have on the various aspects of the control system performance,…