Event-Based Boundary Control of a Linear [Formula Omitted] Hyperbolic System via Backstepping Approach

In this paper, we introduce an event-based boundary control for a [Formula Omitted] 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...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2018-01, Vol.63 (8), p.2686
Main Authors: Espitia, Nicolas, Girard, Antoine, Marchand, Nicolas, Prieur, Christophe
Format: Article
Language:English
Subjects:
Boundary control
Control stability
Hyperbolic systems
Well posed problems
Online Access:Get full text
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Summary:In this paper, we introduce an event-based boundary control for a [Formula Omitted] 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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2017.2774011