Switched/hybrid systems are dynamical systems that combine continuous dynamics and discrete events. Such systems are of theoretical interest and important in many applications, and they have attracted considerable attention in the control literature. This advanced graduate-level course will introduce the students to analysis and design of switched and hybrid systems. The selection of specific topics is heavily influenced by the research of the instructor and his collaborators, drawn from his 2003 research monograph and more recent research articles.
Announcements:
Instructor: Daniel Liberzon
Office: 144 CSL
Email: liberzon at
illinois.edu
Prerequisites:
The course will build on a standard
first-year graduate course in state-space linear systems, such as
ECE 515.
Some knowledge of nonlinear system analysis techniques
(such as those covered in ECE 517 or ECE 528) is a plus but not a
requirement.
Required text: D. Liberzon, Switching in Systems and Control, Birkhauser, 2003. A digital copy is available on SpringerLink, access by logging in to UIUC library account for free download. The textbook material will be supplemented by more recent research articles.
Recorded lectures: Lectures will not be recorded this semester, but recordings from Spring 2023 are available at this Mediaspace channel (audio and video quality is highly variable).
Final project: This course will involve a final project presentation towards the end of the semester. Details will be explained in class. There will be no required homework or exams.
Date |
Topic | Slides |
Reading
| Tue Jan 20 | Introduction to switched and hybrid systems | intro.ppsx | Section 1.1
| Thu Jan 22 | Solutions of switched and hybrid systems | none
| Section
1.2
| Tue Jan 27 | Stability: definitions and
background results | none
| Appendix A
| Thu Jan 29 | Stability background (end); uniform stability and
common Lyapunov
functions | GUAS.ppsx | Sections
2.1.1-2.1.3
| Tue Feb 3 | Uniform stability of switched linear systems | none | Sections 2.1.4, 2.1.5
| Thu Feb 5 | Commutation relations and
stability of switched systems | LA.ppsx | Paper
| Tue Feb 10 | | |
| Thu Feb 12 | | |
| Tue Feb 17 | | |
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| Tue Feb 24 | | |
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| Tue Mar 3 | | |
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| Tue Mar 17 | No class: Spring break | |
| Thu Mar 19 | No class: Spring break | |
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