TY - JOUR
T1 - Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems
AU - N U+02BC Doye, Ibrahima
AU - Salama, Khaled N.
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported by King Abdullah University of Science and Technology (KAUST), KSA. Recommended by Associate Editor Xiaoming Hu.
PY - 2018/2/13
Y1 - 2018/2/13
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/627214
UR - http://ieeexplore.ieee.org/document/8291081/
UR - http://www.scopus.com/inward/record.url?scp=85042124947&partnerID=8YFLogxK
U2 - 10.1109/JAS.2017.7510874
DO - 10.1109/JAS.2017.7510874
M3 - Article
AN - SCOPUS:85042124947
SN - 2329-9266
VL - 6
SP - 268
EP - 277
JO - IEEE/CAA Journal of Automatica Sinica
JF - IEEE/CAA Journal of Automatica Sinica
IS - 1
ER -