Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems

Abstract
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.

Acknowledgements
This work was supported by King Abdullah University of Science and Technology (KAUST), KSA. Recommended by Associate Editor Xiaoming Hu.

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
IEEE/CAA Journal of Automatica Sinica

DOI
10.1109/JAS.2017.7510874

Additional Links
http://ieeexplore.ieee.org/document/8291081/

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