ℋ∞ Adaptive observer for nonlinear fractional-order systems
Type
ArticleAuthors
Ndoye, IbrahimaLaleg-Kirati, Taous-Meriem
Darouach, Mohamed
Voos, Holger
KAUST Department
Computational Bioscience Research Center (CBRC)Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Online Publication Date
2016-06-22Print Publication Date
2017-03Date
2016-06-22Abstract
In this paper, an adaptive observer is proposed for the joint estimation of states and parameters of a fractional nonlinear system with external perturbations. The convergence of the proposed observer is derived in terms of linear matrix inequalities (LMIs) by using an indirect Lyapunov method.The proposed ℋ∞ adaptive observer is also robust against Lipschitz additive nonlinear uncertainty. The performance of the observer is illustrated through some examples including the chaotic Lorenz and Lü's systems. © 2016 John Wiley & Sons, Ltd.Citation
N’doye I, Laleg-Kirati T-M, Darouach M, Voos H (2016) ℋ∞ Adaptive observer for nonlinear fractional-order systems. International Journal of Adaptive Control and Signal Processing. Available: http://dx.doi.org/10.1002/acs.2699.Acknowledgements
King Abdullah University of Science and TechnologyUniversity of Luxembourg, Faculty of Science, Technology and Communication (FSTC), FNR-Luxembourg