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