Reference : Tracking Control in Billiards Using Mirrors without Smoke, Part II: Additional Lyapunov-...

	Document type :	Scientific congresses and symposiums : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering
	To cite this reference:	http://hdl.handle.net/2268/107769

Title :	Tracking Control in Billiards Using Mirrors without Smoke, Part II: Additional Lyapunov-Based Local and Global Results
Language :	English
Author, co-author :	Forni, Fulvio [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
	Teel, Andrew [UC Santa Barbara, CA > Electrical and Computer Engineering (ECE) > > >]
Publication date :	2011
Main document title :	50th IEEE Conference on Decision and Control (cdc 2011)
Peer reviewed :	Yes
On invitation :	No
Audience :	International
Event name :	50th IEEE Conference on Decision and Control
Event date :	12/2011
Keywords :	[en] tracking ; impacts ; hybrid systems
Abstract :	[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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/2268/107769

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access partII_final.pdf Author preprint 138.67 kB View/Open

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