Exponential Convergence of an Observer Based on Partial Field Measurements for the Wave Equation
Joint Authors
Chapelle, Dominique
Cîndea, Nicolae
De Buhan, Maya
Moireau, Philippe
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We analyze an observer strategy based on partial—that is, in a subdomain—measurements of the solution of a wave equation, in order to compensate for uncertain initial conditions.
We prove the exponential convergence of this observer under a nonstandard observability condition, whereas using measurements of the time derivative of the solution would lead to a standard observability condition arising in stabilization and exact controlabillity.
Nevertheless, we directly relate our specific observability condition to the classical geometric control condition.
Finally, we provide some numerical illustrations of the effectiveness of the approach.
American Psychological Association (APA)
Chapelle, Dominique& Cîndea, Nicolae& De Buhan, Maya& Moireau, Philippe. 2012. Exponential Convergence of an Observer Based on Partial Field Measurements for the Wave Equation. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001728
Modern Language Association (MLA)
Chapelle, Dominique…[et al.]. Exponential Convergence of an Observer Based on Partial Field Measurements for the Wave Equation. Mathematical Problems in Engineering No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1001728
American Medical Association (AMA)
Chapelle, Dominique& Cîndea, Nicolae& De Buhan, Maya& Moireau, Philippe. Exponential Convergence of an Observer Based on Partial Field Measurements for the Wave Equation. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001728