5B5760 Introduction to Nonlinear Control Systems (5p)

Instructor: Xiaoming Hu

Literature: Lecture notes will be handed out. For further reading: Nonlinear Control Systems (3rd Ed.) by A. Isidori.

You can download the lecture notes here (Password required)

Intended Audience: Graduate Students in applied mathematics and engineering. Senior undergraduate students are also welcome.

Goal: The purpose of this course is to present the fundamentals of the theory and application of nonlinear control systems, with emphasis on the geometric approach. In particular, this course will provide methods for analysis and synthesis of nonlinear feedback control systems.

Note: This course is different from the Nonlinear System Analysis course. In this course the emphasis is on control, while the other one is focused on the analysis of nonlinear differential systems (or closed-loop systems).

Examination: One is required to do the homework assignments, and to pass the final written exam, which is open-book, open-notes.

Course Plan:

There are about 12 lectures (one per week). Each of the following chapters will be covered by one or several lectures:

• Introduction and Math Preparations
• Controllability and Observability of Nonlinear Systems
• Single-input Single-output Systems
• Multi-input Multi-output Systems
• Tracking and Regulation
• Global Feedback Stabilization
• Some Further Results on Nonlinear Systems

Lectures: The first lecture will be on February 1 2005, from 13:00 to 15:00, in Room 3721, Lindstedtsv 25.

Please send me an email to register and to receive course information later.