ECE147B_Final_Exam_rev1

ECE147B_Final_Exam_rev1 - ECE147B FinalExam Winter2011 Name...

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ECE 147B Final Exam Winter 2011 Prof. Katie Byl 1 / 13 UCSB Name ______________________________ ECE 147B Final Exam Mar. 18, 2011 You are allowed two, single-side 8 ½ x 11 sheets of self-prepared notes. Use must submit these “Cheat Sheets” with your exam; they will later be returned, unmarked. PUT YOUR NAME ON YOUR CHEAT SHEET! No calculators, laptops, or other computing devices are allowed. / 16 Problem 1: G(s) vs G(z) (via ZOH) Bode analysis. / 20 Problem 2: C(z) controller design. / 16 Problem 3: P(z) time response. / 18 Problem 4: C(z) controller analysis . / 20 Problem 5: State space control and estimation. / 20 Problem 6: State space block diagram analysis. (110 total points possible.)
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ECE 147B Final Exam Winter 2011 Prof. Katie Byl 2 / 13 UCSB 1) In this problem, a continuous-time plant, P(s), is in the standard ZOH (zero-order hold) configuration. Below is a Bode plot for the resulting discrete-time plant, P(z).
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ECE 147B Final Exam Winter 2011 Prof. Katie Byl 3 / 13 UCSB (Problem 1, continued…) a) The thin, dashed line toward the right edge of the plot indicates the Nyquist frequency for the system. What is the sample time, T (approximately)? b) Estimate the poles and zeros (s plane values) for the CONTINUOUS TIME system, G(s). c) Estimate the poles and zeros (z plane values) for the actual DISCRETE-TIME system, G(z).
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ECE 147B Final Exam Winter 2011 Prof. Katie Byl 4 / 13 UCSB 2) In this problem, you are asked to analyze proposed discrete-time controllers on a given plant. A Bode plot of the (open-loop) plant, G(z), is shown below. T=.001 seconds.
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ECE 147B Final Exam Winter 2011 Prof. Katie Byl 5 / 13 UCSB (Problem 2, continued…) a) First, assume we plan to close the loop using a proportional controller with unity gain: C(z)=1 . From the plot on the previous page, estimate the following. (You must also label the plot to illustrate each value , too!) i) Crossover frequency : ii) Gain margin : iii) Phase margin : b) Would the resulting closed loop system (from part a) be stable? (Why or why not?)
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This note was uploaded on 12/28/2011 for the course ECE 146b taught by Professor Staff during the Fall '08 term at UCSB.

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ECE147B_Final_Exam_rev1 - ECE147B FinalExam Winter2011 Name...

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