Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems
Type
ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering Program
Computational Bioscience Research Center (CBRC)
Date
2018-02-13Online Publication Date
2018-02-13Print Publication Date
2018Permanent link to this record
http://hdl.handle.net/10754/627214
Metadata
Show full item recordAbstract
In this paper, we propose a robust fractional-order proportional-integral U+0028 FOPI U+0029 observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities U+0028 LMIs U+0029 approach by using an indirect Lyapunov method. The proposed U+0028 FOPI U+0029 observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional U+0028 FOP U+0029 observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.Citation
N U+02BC Doye I, Salama KN, Laleg-Kirati T-M (2018) Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems. IEEE/CAA Journal of Automatica Sinica: 1–10. Available: http://dx.doi.org/10.1109/JAS.2017.7510874.Sponsors
This work was supported by King Abdullah University of Science and Technology (KAUST), KSA. Recommended by Associate Editor Xiaoming Hu.Additional Links
http://ieeexplore.ieee.org/document/8291081/ae974a485f413a2113503eed53cd6c53
10.1109/JAS.2017.7510874