447 Fa23 -- Control Systems

447 Fa23 -- Control Systems

Instruction team

Prof Samuel Burden (Sam; he/him/his; http://faculty.uw.edu/sburden Links to an external site.)
- class time:  TuTh 12:30--1:20p in OUG 141 (also on Zoom)
- office hours:  TuTh 1:30--2:20p in OUG 141 (also on Zoom)
- additional meetings available by appointment
- please use Canvas conversations to contact Prof Burden
TA Tim Amish; he/him/his
- Contact: amishte@uw.edu
- office hours: ECE M406 Wed 3-4pm, Th 10-11am or by appointment through email
Grader Christina Liu 
- please use Canvas conversations to contact Prof Burden about grading

Schedule -- lectures, class meetings, homework, exams

Zoom: use the Zoom link in the navigation toolbar (or this link) to join class synchronously or watch class recordings (under Cloud Recordings after clicking the Zoom link).

JupyterHub:  you can access the Python server for this course using the address https://jupyter.rttl.uw.edu/2023-autumn-e-e-447-a. For a quick tutorial on accessing course materials using this tool, see this video Links to an external site..

Examples:  the computational demonstrations from lecture are collected in a Python notebook that's full of examples -- feel free to reuse this code in your coursework!

Textbook:  There is no required textbook for this course, i.e. you do not need to purchase a textbook.  With that said, the lecture material is largely drawn from the following two books:

Week 0 (Sep 28) welcome to Control Systems!  lecture slides Links to an external site.

Week 1 (Oct 3 & 5) control systems [AMv2 Ch 1, 2; Nv7 Ch 3, 4, 5; LO 1, 2, 4]:  define concepts of system, control system, and feedback control; introduce differential equations, transfer functions, and block diagrams.  lecture notes Links to an external site., hw0 Links to an external site., hw0 solution Links to an external site., Tue Oct 3 Links to an external site.

Week 2 (Oct 10 & 12) state space nonlinear systems [AMv2 Ch3; Nv7 Ch 3, 4, 5; LO 1, 4, 5, 6]:  further develop mathematical modeling tools (nonlinear differential equations, state space) and apply them to models of physical phenomena using a combination of pen-and-paper analysis and scientific computing.  lecture notes Links to an external site., hw1 Links to an external site., hw1 solution Links to an external site., Tue Oct 10 Links to an external site., Tue Oct 12 Links to an external site. Links to an external site.

Week 3 (Oct 17 & 19) stability [AMv2 Ch 5, 6; Nv7 Ch 2, 6, 8; LO 1, 2, 4, 6]:  stability in linear and nonlinear systems, Routh-Hurwitz criteria, eigenvalue tests, visualization, parametric stability, root locus.  lecture notes Links to an external site., hw2 Links to an external site., hw2 solution Links to an external site., Tue Oct 17 Links to an external site.

Week 4 (Oct 24 & 26) linearity [AMv2 Ch 6; Nv7 Ch 2, 3; LO 1, 3]:  linearization -- i.e. approximation of a nonlinear system by a linear system -- and the homogeneous and particular response of a linear system in state-space form.  lecture notes Links to an external site., hw3,  hw3 solution, Tue Oct 24 Links to an external site.

Week 5 (Oct 31 & Nov 2) take-home exam due 11:59p Fri Nov 3:  covers all lecture and homework material through Thu Oct 26. exam1, solution

Note: there is a presentation and panel by engineers from Apple that overlaps with the Oct 31 class meeting.

Week 6 (Nov 9) state space control [AMv2 Ch 7 & 8; Nv7 Ch 12.2, 12.5; LO 8 & 9]:  design of full-state feedback controllers, state estimators, and combinations of the two.  lecture notes Links to an external site., hw4x6, hw4x6 solution, Thu Nov 9 Links to an external site.

Note: Nov 7 class meeting is cancelled to encourage participation in WAFER.

Week 7 (Nov 14 & 16) frequency-domain analysis [AMv2 Ch 10 & 12; Nv7 Ch 10; LO 5, 7, 8]: transfer matrix from a state-space LTI system, Bode plots, effect of disturbances (i.e. sensitivity), and fundamental limits.  lecture notes Links to an external site.,

Week 8 (Nov 21) computational tools (Python Control Systems Library): representation in state-space and frequency domain; analysis using phase portraits, impulse/step/frequency response, Bode plots, root locus diagrams; controller synthesis and interconnection.  lecture notebook

Week 9 (Nov 28 & 30) frequency-domain control [AMv2 Ch 10 & 12; Nv7 Ch 10; LO 5, 7, 8]: Nyquist stability criterion; stability margins (gain margin, phase margin); root locus diagrams.  lecture notes Links to an external site., hw7, hw7 solution

Week 10 (Dec 5 & 7) take-home exam due 11:59p Fri Dec 8: covers all lecture and homework material through Thu Nov 30.  exam2

Finals week:  there will be no coursework during the University's Final Exam Week -- enjoy your break!

CC Attribution Non-Commercial This course content is offered under a CC Attribution Non-Commercial Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.