Location: Supélec, Gif-sur-Yvette, France, May 25-29
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 have they have attracted considerable attention in the recent control literature. This graduate-level course will introduce the students to recent research results on analysis and design of switched and hybrid systems.
Schedule and outline
The course is mainly based on the following textbook:
D. Liberzon, Switching in Systems and Control, Birkhauser, 2003.
The textbook material will be supplemented by recent research articles. Also, below is a condensed set of lecture notes extracted from the textbook, which covers some of the relevant material.
A tentative course syllabus is given below. Powerpoint slides for each lecture are preliminary versions and will be updated during the course. All section and page numbers in the "reading" column refer to the above textbook; some of the same material (in condensed form) can also be found in the lecture notes posted above.
||Hybrid and switched systems and
||Stability: definitions and
||none||Appendix A||Stability under arbitrary switching
and common Lyapunov
2.1.1-2.1.5||Commutation relations and
stability of switched systems
||LA.ppsx||Section 2.2, Appendix B, paper
paper 2||Systems with special
structure||structure.ppsx||Section 2.3||Common weak Lyapunov functions;
observability||observability.ppsx||Download paper||Multiple Lyapunov functions and
3.1, 3.2, paper
||Average dwell time; multiple weak Lyapunov
3.3, 3.4||Input-to-state stability of
Download paper||Invertibility of
switched systems||Download paper||Gradient algorithms;
introduction to hybrid control||gradient.ppsx||Paper 1, paper 2||Hybrid control of
systems||parking.ppsx||Chapter 4||Control with limited
information||limited-info.ppsx||Section 5.3, paper 1, paper