Reference : Tracking Control in Billiards Using Mirrors without Smoke, Part II: Additional Lyapunov-...
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Electrical & electronics engineering
http://hdl.handle.net/2268/107769
Tracking Control in Billiards Using Mirrors without Smoke, Part II: Additional Lyapunov-Based Local and Global Results
English
Forni, Fulvio mailto [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
Teel, Andrew mailto [UC Santa Barbara, CA > Electrical and Computer Engineering (ECE) > > >]
2011
50th IEEE Conference on Decision and Control (cdc 2011)
Yes
No
International
50th IEEE Conference on Decision and Control
12/2011
[en] tracking ; impacts ; hybrid systems
[en] Two control results are described: 1) local tracking control for convex billiards with piecewise locally Lipschitz boundary, and 2) global tracking control for special polyhedral billiards, including rectangles and equilateral triangles. The controllers are based on Lyapunov functions and a mirroring concept introduced in a companion paper. The local results require the impacts to satisfy an average dwell-time condition with parameters that depend on the Lipschitz constant of the function that characterizes the boundary. For piecewise constant boundary, and for the global results, the average dwell-time parameters are arbitrary. Tools from stability analysis for hybrid systems are used to establish the results.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/107769

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
partII_final.pdfAuthor preprint138.67 kBView/Open

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.