AME 50650 Course Syllabus

[goodwine]

University of Notre Dame
Aerospace and Mechanical Engineering

AME 50650 Course Syllabus

Instructor:

• Bill Goodwine
  Office: 376 Fitzpatrick
  Email: goodwine@controls.ame.nd.edu
  Office Hours: TBD

TA:

• Ashley Nettleman
  Office: B22 Fitzpatrick
  Email: akulczyc@nd.edu
  Office Hours: TBD

Time and Place

• 118 DeBartolo Hall
  MWF 3:30-4:20

Grading

Homework will be assigned most classes and will be due at the beginning of the class two classes after it is assigned. If a homework is submitted after the beginning of the following class but before the beginning of the class after that it will receive 50% credit. Assignments submitted after that will receive no credit. The three lowest homework grades for each person will be discarded. There probably will not be a final exam; however, I reserve the right to change my mind. I will announce before Thanksgiving break the nature of the final exam. It will count for between 0 and 50% of your final grade.

Course Text

There is no required text for the course. I will provide handouts for almost every lecture. Two sets of notes are available: 1) an old, but complete set and 2) a set that will typically be updated right before class. Highly recommended references are the following:

• Nonlinear Systems, Third Edition, Prentice Hall, Hassan K. Khalil
• Nonlinear Systems: Analysis, Stability and Control, Springer, Shankar S. Sastry

Homework Policy

Collaboration on homeworks is encouraged. However everything you submit must be the result of your own intellectual effort and accurately and substantively reflect your understanding of the subject matter at the time of writing. Many homework problems will be of the nature determining a system that exhibits certain characteristics. In such cases, if you work collaboratively with another student you must find different answers/systems. Any activity that violates the Academic Code of Honor, either in letter or spirit, is prohibited.

Topics

1. Fractional-Order Calculus and Differential Equations
2. Introduction to Nonlinear Phenomena
3. Nomenclature and Definitions
4. Linearization of Nonlinear Equations
5. Describing Functions (expanded)
6. Lyapunov Stability
7. Control and Lyapunov Stability
8. Linearized Stability
9. Introduction to Adaptive Control
10. Stability of Nonautonomous Systems and Boundedness
11. Center Manifold Theory
12. Introduction to Bifurcations
13. Feedback Linearization
14. Introduction to Hybrid Systems