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.
Instructor: Daniel Liberzon.
Office: 144 CSL.
Email: liberzon at illinois.edu
Office hours: TBD
The course will build on a standard
first-year graduate course in state-space linear systems, such as
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. Available in UofI bookstore, on Amazon.com, and through SpringerLink here (university login required). The textbook material will be supplemented by recent research articles.
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.
||Tue Jan 17||Introduction to switched and hybrid systems||intro.ppsx||Section 1.1
||Thu Jan 19||Solutions of switched and hybrid systems||none
||Tue Jan 24||Stability: definitions and
||Thu Jan 26||Uniform stability
and common Lyapunov
||Tue Jan 31||Uniform stability of switched linear systems||none||Sections 2.1.4, 2.1.5
||Thu Feb 2||Commutation relations and|
stability of switched systems
|LA.ppsx||Section 2.2, Appendix B
||Tue Feb 7||Paper
paper 2, paper 3
||Thu Feb 9||Systems with special
||Tue Feb 14||Common weak Lyapunov functions;
||Thu Feb 16||Multiple Lyapunov functions and
||Tue||Average dwell time; multiple weak Lyapunov
||Thu||Input-to-state stability of
Paper 1, paper 2
switched systems||Download paper
||Thu||Gradient algorithms||gradient.ppsx||Paper 1, paper 2
||Tue||Introduction to hybrid control; |
hybrid control of nonholonomic systems
||Tue ||No class: Spring break ||Thu||No class: Spring break ||Tue ||Control with limited
||Thu ||Paper 1, paper
2, paper 3
||Tue ||Limited data-rate control of switched systems||switched-quantized.ppsx||Download paper
||Thu ||Switching adaptive
||Thu ||Tue ||Thu ||Final project
presentations||Tue ||Final project
presentations||Thu ||Final project presentations||Tue ||Final project presentations||Thu ||Final project presentations||Tue |