Welcome to 6.S185: Advanced Analog Circuits and Control!

Click here to read a draft of the full syllabus with a day-by-day lecture schedule.

The pretest has been posted under the "Assignments" tab.


Prerequisites: 6.301 or 6.101, 6.302 or 2.14, or permission of instructor

Instructor: Daniel Kramnik (M.Eng. student, Physical Optics and Electronics Group)

Lecture Times: 2:00pm - 3:30pm on Jan. 9, 11, 13, 17, 18, 20, 23, 25, 27, 30, and Feb. 1, 2, 3 Lecture Location: 37-212

Contact: kramnik@mit.edu

Office Hours: apprange by email in the 38-501 lab

Credit: 6 units (undergraduate) P/D/F

Course Description

Covers principles of analog circuit design using control-based modeling and analysis techniques. Material is inspired by advanced circuits courses that are no longer taught (eg. 6.331, 6.376). Topics include: feedback in small-signal models, driving point impedances and return ratio analysis, application-specific opamp compensation, linear network theory and directed graphs, thermodynamics and modeling of noise, detailed performance analysis of linear and switching regulators, and discrete-time modeling and control. Students participate in 3 laboratory projects that include power amplifier design, operational amplifier and transconductance amplifier design, and filter syn- thesis. Topics and labs may change depending on student feedback and interest. Background in both analog circuit design and classical control is a prerequisite. Some prior exposure to power electronics (6.131 or 6.334) is also useful. Laboratory experience is assumed. To participate, submit solutions to the pretest posted on the course page by the first lecture.


In order to cover about a semester’s worth of material in a month, we need to move fast. The expectation is that this course will be your primary occupaction during IAP. There will be 3 problem sets, 3 lab projects (each about as long as 6.301 lab 2), and a final paper and presentation on a research or design topic of your choice. Collaborative work on labs and problem sets is encouraged to make them move faster and form a 6.S185 community in the short time we have together. We expect many people to be in lab discussing the problem sets and labs during weekdays. A passing grade will be assigned if you complete all of the assignments by the end of IAP.

Recommended Texts

• Rahul Sarpeshkar. Ultra Low-Power Bioelectronics. Cambridge University Press, 2011

• Marc Thompson. Intuitive Analog Circuit Design. Newnes, 2013

• Luca Corradini, Dragan Maksimovic, Paolo Mattavelli, and Regan Zane. Digital Control of High-Frequency Switched-Mode Power Converters. Wiley-IEEE Press, 2015


Background is an LM10 operational amplifier from Texas Instruments [image source].