6.302
Feedback Systems
Spring 2007
Topics
- Course introduction, history and advantages of feedback
- Closed loop vs. open loop systems
- Desensitivity, linearization via feedback
- Block diagrams and physical modeling
- Modeling and linearization of systems
- Block diagrams (cont.)
- First and second-order systems
- Complex variables and the s-plane
- Steady state errors
- Introduction to stability
- Op-amp circuits and analog computers
- Evan’s root locus method and the root locus rules
- Steady-state errors
- The inverted pendulum system
- Root locus
- Introduction to the Nyquist criterion
- Root locus (cont.)
- Examples of the Nyquist criterion
- Nyquist stability
- Degree of stability and gain setting: Hall and Nichols charts
- Phase-locked loops
- Bode diagrams, gain margin and phase margin
- Phase-locked loops II
- Open-loop performance specifications and the Bode Obstacle Course
- Our analytical toolbox
- Compensation: motivation and goals
- Bode obstacle course
- Series compensation: lead and lag networks
- More Bode obstacle course and compensation
- Operational amplifier compensation examples
- Compensation
- Introduction to minor-loop compensation
- More minor-loop external op-amp compensation
- Black’s formula revisited and lead compensation
- Op-amp internal compensation examples
- Minor loop feedback
- Dealing with lightly damped quadratics
- Minor loop in an op-amp
- Non-linear systems and describing functions
- Minor loop in an op-amp (cont.)
- Oscillators and describing functions
- Block diagrams from circuits
- Return ratio
- Conditional stability and non-linear compensation
- Time delays
- Special guest lecture
- Describing functions
- Feedback systems
- Final recitation and review
Readings
- The reference for this course will be Dr. Kent Lundberg’s Notes on Feedback Systems . This text is not available on the MIT OpenCourseWare site.
Sources
- Course catalogue ↗Historical OpenCourseWare
- MIT OCW calendar ↗
- MIT OCW syllabus ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.