ece580 lecture 06

ece580 lecture 06 - Lecture 6 ECE 580 Feedback Control...

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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 1 Lecture 6 ECE 580 Feedback Control Systems (I) MIE 444 Automatic Controls Doug Looze
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 2 Announce Ø PS 2 due today Ø PS 3 available Due next Thursday Ø Password for PS solutions: feedback
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 3 Last Time - ( 29 D s ( 29 G s ( 29 H s Ø Closed loop control ( 29 Y s ( 29 U s ( 29 R s Sensor Plant Input Reference Control Response ( 29 E s (Loop) Error ( 29 W s Load disturbance ( 29 o W s Output disturbance ( 29 p U s ( 29 N s Measurement Noise Plant Controller
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 4 ( 29 ol D s ( 29 G s Ø Open loop control ( 29 ol Y s ( 29 ol U s ( 29 R s Plant Controller Reference Control Response Ø Both architectures Objective: response  reference ( 29 o W s Output Disturbance
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 5 Ø Feedback can accomplish Stability Transient response objectives Steady-state error objectives Disturbance rejection objectives Command following objectives Reduction of effects of uncertainty in plant model
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 6 Unity feedback - ( 29 D s ( 29 G s ( 29 Y s ( 29 U s ( 29 R s ( 29 E s ( 29 o W s ( 29 N s ( 29 ( 29 ( 29 loop transfer function L s G s D s @ ( 29 ( 29 1 sensitivity transfer function 1 S s L s + @ ( 29 ( 29 ( 29 closed-loop transfer function 1 L s T s L s + @
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 7 Response ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 o Y s S s W s T s R s N s = + - Performance error ( 29 ( 29 ( 29 p E s R s Y s = - ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 p o E s S s R s W s T s N s = - + ( 29 ( 29 1 S s T s + = Want both S ( s ) and T ( s ) small Can’t have both S ( s ) and T ( s ) small at the same frequency - ( 29 D s ( 29 G s ( 29 Y s ( 29 U s ( 29 R s ( 29 E s ( 29 o W s ( 29 N s
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 8 Today Ø Basic control system elements Proportional Integral Derivative (next time) Ø Reading FPE 4.3
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 9 Steady-State Error Ø Errors to unit step of exogenous signal Specify which signal Other types of errors (and system classification) later - ( 29 D s ( 29 G s ( 29 H s ( 29 Y s ( 29 R s ( 29 W s ( 29 o W s ( 29 N s
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Sept. 22, 2011 Feedback Control Systems (I) © Douglas Looze 10 Ø Reference - ( 29 D s ( 29 G s ( 29 H s ( 29 Y s ( 29 R s ( 29 1 R s s = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29
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ece580 lecture 06 - Lecture 6 ECE 580 Feedback Control...

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