Dissipativity-based observer design for a class of coupled 1-D semi-linear parabolic PDE systems.

Schaum, A., Moreno, J. A. and Meurer, Thomas (2016) Dissipativity-based observer design for a class of coupled 1-D semi-linear parabolic PDE systems. IFAC-PapersOnLine, 49 (8). pp. 98-103. DOI 10.1016/j.ifacol.2016.07.425.

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Abstract

In the present paper the dissipativity-based observer design approach is extended to a class of 1-D semi-linear parabolic PDE systems with pointwise in-domain measurement. On the basis of a modal innovation over the set of slow eigenvalues of the linear operator and the consideration of a dissipativity (sector) condition for the nonlinearity an exponential convergence condition for the estimation error is derived in form of a linear operator inequality, which is solved on the basis of an eigenfunction expansion of the linear operator. The approach is illustrated by numerical simulations for a coupled two-state semi-linear PDE system.

Document Type: Article
Keywords: Observer, dissipative distributed parameter systems
Research affiliation: Kiel University
Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
Open Access Journal?: Yes
Publisher: Elsevier
Projects: Future Ocean
Date Deposited: 04 Dec 2018 14:04
Last Modified: 23 Sep 2019 20:45
URI: https://oceanrep.geomar.de/id/eprint/44839

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