A Robust and Non-Fragile Observer Design for Nonlinear Fractional-Order Systems

The challenge of developing observers for classical integer-order systems that are both resilient and non-fragile has received a lot of attention in the literature. However, only a few articles have addressed the topic of developing observers for Fractional-Order (FO) systems that are both H-infinit...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry (Basel) 2022-09, Vol.14 (9), p.1795
Main Authors: Kahouli, Omar, Naifar, Omar, Makhlouf, Abdellatif Ben, Bouteraa, Yassine, Aloui, Ali, Rebhi, Ali
Format: Article
Language:English
Subjects:
Asymmetry
Calculus
Caputo derivative
Control theory
fractional-order calculus
H infinity
H∞ performance
Lipschitz condition
non-fragile
Nonlinear systems
observer
Observers
Robustness (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The challenge of developing observers for classical integer-order systems that are both resilient and non-fragile has received a lot of attention in the literature. However, only a few articles have addressed the topic of developing observers for Fractional-Order (FO) systems that are both H-infinity H∞ and non-fragile. The current work handles the Caputo fractional-order systems as the first work, to our knowledge, which treats such problems. The authors provide a novel result for building non-fragile and robust observers for nonlinear Caputo fractional-order systems. For this, the H∞ performance method is utilized. Simulations for a numerical example confirm the efficacy of the suggested technique. The primary advantage of the current work is that it is the first to address the Caputo fractional-order system problem.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14091795