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Event-Based Boundary Control of a Linear $2\times 2$ Hyperbolic System via Backstepping Approach.

Authors :
Espitia, Nicolas
Girard, Antoine
Marchand, Nicolas
Prieur, Christophe
Source :
IEEE Transactions on Automatic Control. Aug2018, Vol. 63 Issue 8, p2686-2693. 8p.
Publication Year :
2018

Abstract

In this paper, we introduce an event-based boundary control for a $2\times 2$ coupled linear hyperbolic system. We use a well-established backstepping controller which stabilizes the system along with a dynamic triggering condition which determines when the controller must be updated. The main contributions rely on the definition of an event-based controller under which global exponential stability of the system is achieved and, furthermore, the existence of a minimal dwell-time between two triggering times is guaranteed. The well-posedness of the system under the event-based controller is stated. A simulation example is presented to illustrate the results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189286
Volume :
63
Issue :
8
Database :
Academic Search Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
130928442
Full Text :
https://doi.org/10.1109/TAC.2017.2774011