Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters.

Ge, Fudong, Meurer, Thomas and Chen, YangQuan (2018) Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters. Systems & Control Letters, 122 . pp. 86-92. DOI 10.1016/j.sysconle.2018.10.009.

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Abstract

The purpose of this paper is to investigate the observer-based boundary output feedback control for subdiffusion processes governed by coupled semilinear time fractional diffusion systems (TFDSs) with spatially varying parameters. For this, backstepping technique is used to Mittag-Leffler stabilize the coupled semilinear observer error dynamic systems. We then design an observer-based output feedback controller at the right boundary to realize the Mittag-Leffler stability of the closed-loop systems at hand. A numerical example is finally included to test our methods.

Document Type: Article
Keywords: Backstepping observers Boundary feedback control Coupled semilinear time fractional diffusion systems Mittag-Leffler stability
Research affiliation: Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Kiel University
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1016/j.sysconle.2018.10.009
ISSN: 0167-6911
Projects: Future Ocean
Date Deposited: 04 Dec 2018 14:01
Last Modified: 27 Mar 2019 11:07
URI: http://oceanrep.geomar.de/id/eprint/44837

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