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Page 1: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 2: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 3: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 4: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 5: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 6: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 7: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 8: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 9: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 10: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 11: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 12: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 13: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 14: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 15: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

101 102 103-50

0

50

Frequency (rad/sec)

Gai

n (d

B)

101 102 103-200

-100

0

Frequency (rad/sec)

Pha

se (d

eg)

Page 16: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 17: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 18: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 19: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 20: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 21: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 22: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 23: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 24: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 25: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 26: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 27: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 28: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

What K will keep the system stable for the following OL systems?

Page 29: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 30: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 31: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 32: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 33: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 34: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 35: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 36: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

http://www.facstaff.bucknell.edu/mastascu/eControlHTML/Freq/Nyquist3.html#BodeInterpretation

http://www.facstaff.bucknell.edu/mastascu/eControlHTML/Freq/Nyquist4.html

Page 37: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 38: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

Sketch the root locus, Nyquist and Bode plots for (i) a type 0, third order system, and

(ii) type 1 third order system. Then identify gain and phase margins.

Page 39: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 40: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 41: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 42: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 43: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 44: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 45: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 46: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 47: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 48: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 49: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 50: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 51: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 52: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

52

Page 53: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

53

Page 54: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 55: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 56: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 57: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 58: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 59: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 60: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 61: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 62: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 63: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 64: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 65: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 66: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 67: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 68: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 69: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 70: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 71: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 72: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 73: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 74: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 75: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 76: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 77: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 78: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 79: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 80: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 81: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 82: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 83: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 84: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 85: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 86: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 87: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change
Page 88: vigir.ee.missouri.eduvigir.ee.missouri.edu/~gdesouza/ece4310/Lecture_Notes/Lecture34.pdf · angle cz of G(s) will change (decrease or increase), but it will not undergo a net change

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