580 MT Soln

# 580 MT Soln - Name Problem#1 2 3 Total ECE 580 FEEDBACK...

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Name _____________________________ ECE 580 FEEDBACK SYSTEMS (I) Midterm Exam Wednesday, October 26, 2011 7:00 P.M. - 9:00 P.M. You must show your work to receive partial credit. Express numerical answers as simply as possible without evaluating transcendental numbers, exponentials, or trigonometric functions. The problem values are: Problem #1 40 Points Problem #2 30 Points Problem #3 30 Points Total 100 Points Consistent with the ECE Honor Code, you are asked to read the following voluntary statement carefully and sign it before beginning your work in each exam booklet: I have not given or received unauthorized aid on this exam. __________________________________ _________________ Signature Date Problem #1: _______ 2: _______ 3: _______ Total: _______

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Name _____________________________ Problem 1: (40 points) Consider the system shown in Figure 1. The desired response of the system to a unit step reference input has the following specification: Rise Time (10-90%): 4 s ! t r ! 6 s 2% Settling Time: t s ! 20 s Peak Overshoot: M p ! 0.10 (10%) a) ( 5 points) Find the closed-loop transfer function T ( s ) from reference input R ( s ) to output Y ( s ).
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580 MT Soln - Name Problem#1 2 3 Total ECE 580 FEEDBACK...

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