Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Bioscience Research Center (CBRC)
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AbstractIn 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.
CitationN 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.
SponsorsThis work was supported by King Abdullah University of Science and Technology (KAUST), KSA. Recommended by Associate Editor Xiaoming Hu.