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Unformatted text preview: 6.003: Signals and Systems Lecture 13 March 18, 2010 6.003: Signals and Systems CT Feedback and Control March 18, 2010 Feedback and Control Feedback: simple, elegant, and robust framework for control. + X Y E S C controller plant sensor We started with robotic driving. d i = desiredFront d o = distanceFront Feedback and Control Using feedback to enhance performance. Examples: improve performance of an op amp circuit. control position of a motor. reduce sensitivity to unwanted parameter variation. reduce distortions. stabilize unstable systems magnetic levitation inverted pendulum Feedback and Control Reducing sensitivity to unwanted parameter variation. Example: power amplifier F MP3 player power amplifier 8 <F < 12 speaker Changes in F (due to changes in temperature, for example) lead to undesired changes in sound level. Feedback and Control Feedback can be used to compensate for parameter variation. F MP3 player K + power amplifier 8 <F < 12 speaker X Y H ( s ) = KF 1 + KF If K is made large, so that KF 1 , then H ( s ) 1 independent of K or F ! Feedback and Control Feedback reduces the change in gain due to change in F . F MP3 player 100 1 10 + 8 <F < 12 X Y 10 20 10 20 8 <F < 12 F Gain to Speaker F (no feedback) 100 F 1 + 100 F 10 (feedback) 1 6.003: Signals and Systems Lecture 13 March 18, 2010 Check Yourself F MP3 player K + power amplifier 8 <F < 12 speaker X Y Feedback greatly reduces sensitivity to variations in K or F ....
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This note was uploaded on 11/07/2011 for the course ELECTRICA 6.003 taught by Professor Staff during the Summer '10 term at MIT.
- Summer '10