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Boundary observer design for a class of semi-linear hyperbolic PDE systems with recycle loop.
- Source :
-
International Journal of Control . Apr2021, Vol. 94 Issue 4, p1089-1101. 13p. - Publication Year :
- 2021
-
Abstract
- The present manuscript considers the observer design problem for a class of scalar semi-linear hyperbolic partial differential equation (PDE) systems with a recycle loop through the boundary point. The design method of Kazantzis and Kravaris [(1998). Nonlinear observer design using Lyapunov's auxiliary theorem. Systems & Control Letters, 34(5), 241–247] developed for the nonlinear finite dimensional systems observer design is extended to semi-linear hyperbolic PDE systems. The observer design problem is tackled through a first-order associated PDE. Due to the existence of spatial partial derivative operator, Lyapunov's Auxiliary Theorem originated from finite-dimensional systems can be no longer applied to seek conditions ensuring solvability of the associated PDE. In this manuscript, a new theorem is formulated and proved to ensure the solvability. The solution for the associated PDE is locally analytic nonlinear coordinate transformation which provides foundation for observer realization and a series solution approach is developed. Simulation examples are presented to study the performance of the proposed observer. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207179
- Volume :
- 94
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 149554111
- Full Text :
- https://doi.org/10.1080/00207179.2019.1632490