lec19 - |L(j gc )| = 1 Slide 4 ME 475 Session 19: Gain and...

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Gain Margin The factor by which the open-loop gain can be increased at a phase of - 180° before the system goes unstable. Im L Slide 1 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University Re L
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Gain Margin (GM) Let ϖ pc = phase crossover frequency (where Nyquist plot crosses the negative real axis) L(j ϖ pc ) = - 180 ° Slide 2 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University
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Phase Margin The amount by which the open-loop phase can be decreased at unity magnitude before the system goes unstable. Im L Slide 3 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University Re L
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Phase Margin (PM) Let ϖ gc = gain crossover frequency (where Nyquist plot magnitude is 1)
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Unformatted text preview: |L(j gc )| = 1 Slide 4 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University Stability Margins For stability: Slide 5 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University Relate GM & PM to Bode Plots K = 4.8: K = 19.2: Im L Im L Slide 6 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University Re L Re L Stability Margins in Bode Plots-10 10 20 Magnitude (dB) Bode plots Slide 7 ME 475 Session 19: Gain and Phase Margins Galen King Purdue University 10-1 10 10 1 10 2-20 Frequency (rad/sec) 10-1 10 10 1 10 2-270-225-180-135-90 Frequency (rad/sec) Phase (deg)...
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lec19 - |L(j gc )| = 1 Slide 4 ME 475 Session 19: Gain and...

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