ece580 lecture 16

ece580 lecture 16 - Nov. 3, 2011 Feedback Control Systems...

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Unformatted text preview: Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 1 Lecture 16 ECE 580 Feedback Control Systems (I) MIE 444 Automatic Controls Doug Looze Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 2 Announce PS 6 available Due Thursday, Nov. 17 Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 3 Last Time Bode plots can be constructed from individual factors ( 29 ( 29 ( 29 1 1 m n zi pi i i G j q j q j = = =- R R R ( 29 ( 29 ( 29 1 1 log log log log m n zi pi i i G j K q j q j = = = +- ( 29 ( 29 ( 29 1 1 m zi i n pi i q s G s K q s = = = Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 4 Individual factors Gain factor Pole/zero factor at origin 1st order factor (real pole/zero) 2nd order factor (complex pole/zero) Gain factor log constant for all frequencies K 0 for all frequencies K = R Note: K < 0 K = - R K Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 5 Zero/pole at origin ( 29 q s s = ( 29 log log q j = ( 29 90 2 q j = = R Line with slope 1 0 db intercept 1 Magnitude 1 at 1 rad/s Horizontal line at 90 Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 6 First order factors (real zeros/poles): magnitude ( 29 1 q s s = + Corner frequency Low frequency asymptote 0 db High frequency asymptote Line with slope 1 0 db intercept at corner frequency Magnitude difference is 3 db at corner frequency ( 29 ( 29 ( 29 log log = + 1 First order factor: phase Low frequency asymptote 0 High frequency asymptote 90 Step at corner frequency Nov. 3, 2011 Feedback Control Systems (I) Douglas Looze 7 Second order factors (complex poles/zeros): magnitude Corner frequency n Low frequency asymptote 0 High frequency asymptote Line with slope 2 0 db intercept at corner frequency Possible notch/peak near corner frequency...
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ece580 lecture 16 - Nov. 3, 2011 Feedback Control Systems...

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