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Sensors and Regional Gradient Observability of Hyperbolic Systems
Mathematics Department, Faculty of Exact Sciences, University Mentouri, Constantine, Algeria
Mathematics Department, Faculty of Exact Sciences, University Mentouri, Constantine, Algeria
MACS Team, Department of Mathematics Faculty of Sciences, University Moulay Ismail, Meknes, Morocco
- 1 Mathematics Department, Faculty of Exact Sciences, University Mentouri, Constantine, Algeria
- 2 Mathematics Department, Faculty of Exact Sciences, University Mentouri, Constantine, Algeria
- 3 MACS Team, Department of Mathematics Faculty of Sciences, University Moulay Ismail, Meknes, Morocco
Intelligent Control and Automation·Volume 03 (2012)·Pages 78–89·Published 28 February 2012·DOI10.4236/ica.2012.31010
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Abstract
This paper presents a method to deal with an extension of regional gradient observability developed for parabolic system [1,2] to hyperbolic one. This concerns the reconstruction of the state gradient only on a subregion of the system domain. Then necessary conditions for sensors structure are established in order to obtain regional gradient observability. An approach is developed which allows the reconstruction of the system state gradient on a given subregion. The obtained results are illustrated by numerical examples and simulations.
KeywordsDistributed SystemsHyperbolic SystemsObservabilityRegional Gradient ObservabilitySensorsGradient Reconstruction
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