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Root Locus 5/2/2019 Dr./ Ahmed Nagib Elmekawy

5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)

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Page 1: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)

Root Locus5/2/2019

Dr./ Ahmed Nagib Elmekawy

Page 2: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)

• This lecture will solve the following examples from

1. Ogata, Modern Control Engineering

Section 6.1 to 6.5

Examples: 6.1, 6.2 and 6.4

Page 3: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 4: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 5: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 6: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 7: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 8: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 9: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 10: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 11: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 12: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 13: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 14: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 15: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 16: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 17: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 18: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 19: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 20: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 21: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 22: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 23: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 24: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 25: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 26: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 27: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 28: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 29: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 30: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 31: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 32: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 33: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 34: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)
Page 35: 5/2/2019 Root Locusdrahmednagib.com/Automatic_Control/Root Locus.pdf · 2019-05-14 · 6-2 ROOT-LOCUS PLOTS Angle and magnitude conditions. closed-loop transfer function is IR(s)