ps9 - 2.14/2.140 Problem Set 9 Assigned Thurs Due Thurs May...

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2.14/2.140 Problem Set 9 Assigned: Thurs. April 26, 2007 Due: Thurs. May 3, 2007, in class Reading: F,P,E Sections 7.1–7.6 The following problems are assigned to both 2.14 and 2.140 students. Problem 1 F,P,E Problem 7.4 Problem 2 F,P,E Problem 7.15, part a only Problem 3 On problem set 8, you developed state feedback gains for the system of F,P,E Prob- lem 7.20. For the gains which place the poles as specified in part a) of the problem, make a Bode plot of the return ratio transfer function L ( s ) of the loop broken at the input u . What are the crossover frequency and phase margin for this loop? Problem 4 F,P,E Problem 7.45 Problem 5 F,P,E Problem 7.47 Problem 6 This problem expands on problem 3 from Quiz 2, and will help you get ready for Lab 4. In order to understand the issues of controllers for AC-coupled loops, please scan through the paper A Vibration Isolation Platform which is available on the course web page. The paper describes the system you will be controlling in Lab 4. The system considered here is a simplified version of such a
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