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Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances
Journal article   Peer reviewed

Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances

Lilia Ghaffour and Taous-Meriem Laleg-Kirati
European journal of control, Vol.65, p.100614
05/2022
DOI: https://doi.org/10.1016/j.ejcon.2022.100614

Abstract

Backstepping approach Boundary control Caputo time fractional derivative Reference tracking
In this paper, the output regulation problem of the time fractional advection-dispersion equation is considered, in the presence of disturbances. A generalized backstepping method is designed to allow the output to track a desired trajectory by manipulating the system’s control input located at the boundary. In addition, the paper provides the fundamental solution of the considered problem and the proof of its uniqueness.

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