TY - JOUR
T1 - Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances
AU - Ghaffour, Lilia
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2022-04-26
Acknowledged KAUST grant number(s): BAS/1/1627-01-01
Acknowledgements: Supported by King Abdullah University of Science and Technology (KAUST) with the Base Research Fund (BAS/1/1627-01-01).
PY - 2022/3/17
Y1 - 2022/3/17
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/676521
UR - https://linkinghub.elsevier.com/retrieve/pii/S0947358022000073
UR - http://www.scopus.com/inward/record.url?scp=85126583310&partnerID=8YFLogxK
U2 - 10.1016/j.ejcon.2022.100614
DO - 10.1016/j.ejcon.2022.100614
M3 - Article
SN - 0947-3580
VL - 65
SP - 100614
JO - European Journal of Control
JF - European Journal of Control
ER -