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# Lec13-handout-6up - 6.003 Signals and Systems Lecture 13 1 6.003 Signals and Systems CT Feedback and Control Mid-term Examination#2 Tomorrow

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Unformatted text preview: 6.003: Signals and Systems Lecture 13 October 27, 2009 1 6.003: Signals and Systems CT Feedback and Control October 27, 2009 Mid-term Examination #2 Tomorrow, October 28, 7:30-9:30pm, Walker Memorial. No recitations tomorrow. Coverage: cumulative with more emphasis on recent material lectures 1–12 homeworks 1–7 Homework 7 includes practice problems for mid-term 2. It will not collected or graded. Solutions are posted. Closed book: 2 pages of notes ( 8 1 2 × 11 inches; front and back). Designed as 1-hour exam; two hours to complete. Feedback and Control Feedback is pervasive in natural and artificial systems. We have previously investigated feedback in DT systems. Example: robotic steering + plant controller sensor x [ n ] y [ n ] − n y [ n ] Feedback and Control Today: investigate continuous-time feedback and control. 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 Op-Amp Much of the utility of op-amps depends on their having high gain. Ideal op-amp: lim K → ∞ V + V − V o = K ( V + − V − ) K Op-Amp The gain of an op-amp depends on frequency. 10 2 10 3 10 4 10 5 1 10 10 2 10 3 10 4 10 5 10 6 ω [log scale] | K ( jω ) | [logscale] − π 2 1 10 10 2 10 3 10 4 10 5 10 6 ω [log scale] ⚢ K ( jω ) | Frequency dependence of LM741 op-amp. 6.003: Signals and Systems Lecture 13 October 27, 2009 2 Check Yourself What system function has this frequency response?...
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## This note was uploaded on 08/24/2011 for the course EECS 6.003 taught by Professor Dennism.freeman during the Spring '11 term at MIT.

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Lec13-handout-6up - 6.003 Signals and Systems Lecture 13 1 6.003 Signals and Systems CT Feedback and Control Mid-term Examination#2 Tomorrow

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