Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Control System

Please include explanation of the choices..

1) Which pole-zero plots(s) (if any) correspond to a natural frequency ωn greater than 10 rad/sec?
Circle all that apply: 1 2 3 4 5 6 none

2) Which pole-zero plots (if any) correspond to a a damping ratio ζ greater than 1/√2 ?
Circle all that apply: 1 2 3 4 5 6 none

All parts of this problem concern the same set of six stable continuous-time LTI second-order systems with pole-zero plots shown below. In Pole-Zero Plot 2, the label "2" indicates the pole is of multiplicity two. Pole-Zero Plot 1 Pole-Zero Plot 2 Pole-Zero Plot 3 imag axis (rad/sec) imag axis (rad/sec) 10 50 9 5 -10 10 -10 -2 -2 -1 0 1 real axis (per sec) Pole-Zero Plot 4 X -1 0 1 real axis (per sec) 2 2 10 imag axis (rad/sec) 10 imag axis (rad/sec) ຜ່າ -10 10 50 마 -10 Ta -2 -1 -2 0 1 real axis (per sec) Pole-Zero Plot 5 X -1 0 1 real axis (per sec) 2 2 imag axis (rad/sec) imag axis (rad/sec) 10 4 -10 10 4 -10 -2 -2 X -1 0 1 real axis (per sec) Pole-Zero Plot 6 X X -1 0 1 real axis (per sec) 2 2
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Transcribed Image Text:All parts of this problem concern the same set of six stable continuous-time LTI second-order systems with pole-zero plots shown below. In Pole-Zero Plot 2, the label "2" indicates the pole is of multiplicity two. Pole-Zero Plot 1 Pole-Zero Plot 2 Pole-Zero Plot 3 imag axis (rad/sec) imag axis (rad/sec) 10 50 9 5 -10 10 -10 -2 -2 -1 0 1 real axis (per sec) Pole-Zero Plot 4 X -1 0 1 real axis (per sec) 2 2 10 imag axis (rad/sec) 10 imag axis (rad/sec) ຜ່າ -10 10 50 마 -10 Ta -2 -1 -2 0 1 real axis (per sec) Pole-Zero Plot 5 X -1 0 1 real axis (per sec) 2 2 imag axis (rad/sec) imag axis (rad/sec) 10 4 -10 10 4 -10 -2 -2 X -1 0 1 real axis (per sec) Pole-Zero Plot 6 X X -1 0 1 real axis (per sec) 2 2
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