TR2016-060

Extremum Seeking-based Parametric Identification for Partial Differential Equations

    •  Benosman, M., "Extremum Seeking-based Parametric Identification for Partial Differential Equations", IFAC Workshop on Control of Systems Governed by Partial Differential Equations, DOI: 10.1016/​j.ifacol.2016.07.412, June 2016, vol. 49, pp. 19-24.
      BibTeX TR2016-060 PDF
      • @inproceedings{Benosman2016jun1,
      • author = {Benosman, Mouhacine},
      • title = {Extremum Seeking-based Parametric Identification for Partial Differential Equations},
      • booktitle = {IFAC Workshop on Control of Systems Governed by Partial Differential Equations},
      • year = 2016,
      • volume = 49,
      • number = 8,
      • pages = {19--24},
      • month = jun,
      • publisher = {Elsevier},
      • doi = {10.1016/j.ifacol.2016.07.412},
      • url = {https://www.merl.com/publications/TR2016-060}
      • }
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    Control

Abstract:

In this paper we present some results on partial differential equations (PDEs) parametric identification. We follow a deterministic approach and formulate the identification problem as an optimization with respect to unknown parameters of the PDE. We use proper orthogonal decomposition (POD) model reduction theory together with a model free multiparametric
extremum seeking (MES) approach, to solve the identification problem. Finally, the well known Burgers' equation test-bed is used to validate our approach.