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.

Full text not available from this repository.

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

Actions (login required)

View Item