Automatica, volume 59, pages 216-223
New sufficient conditions for observer-based control of fractional-order uncertain systems
2
King Abdulaziz Univ., Jeddah, Saudi Arabia
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Publication type: Journal Article
Publication date: 2015-09-01
Electrical and Electronic Engineering
Control and Systems Engineering
Abstract
New simple linear matrix inequalities are proposed to ensure the stability of a class of uncertain fractional-order linear systems by means of a fractional-order deterministic observer. It is shown that the conditions of existence of an observer-based feedback can be split into a set of linear matrix inequalities that are numerically tractable. The presented results show that it is possible to decouple the conditions containing the bilinear variables into separate conditions without imposing equality constraints or considering an iterative search of the controller and the observer gains. Simulations results are given to approve the efficiency and the straightforwardness of the proposed design.
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Ibrir S., Fareh R. New sufficient conditions for observer-based control of fractional-order uncertain systems // Automatica. 2015. Vol. 59. pp. 216-223.
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Ibrir S., Fareh R. New sufficient conditions for observer-based control of fractional-order uncertain systems // Automatica. 2015. Vol. 59. pp. 216-223.
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TY - JOUR
DO - 10.1016/j.automatica.2015.06.002
UR - https://doi.org/10.1016/j.automatica.2015.06.002
TI - New sufficient conditions for observer-based control of fractional-order uncertain systems
T2 - Automatica
AU - Ibrir, Salim
AU - Fareh, Raouf
PY - 2015
DA - 2015/09/01
PB - Elsevier
SP - 216-223
VL - 59
SN - 0005-1098
SN - 1873-2836
ER -
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@article{2015_Ibrir,
author = {Salim Ibrir and Raouf Fareh},
title = {New sufficient conditions for observer-based control of fractional-order uncertain systems},
journal = {Automatica},
year = {2015},
volume = {59},
publisher = {Elsevier},
month = {sep},
url = {https://doi.org/10.1016/j.automatica.2015.06.002},
pages = {216--223},
doi = {10.1016/j.automatica.2015.06.002}
}