Journal
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
Volume 6, Issue 1, Pages 268-277Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2017.7510874
Keywords
Chaos synchronization; fractional-order chaotic systems; indirect Lyapunov approach; linear matrix inequality (LMI); robust proportional-integral observer design
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Funding
- King Abdullah University of Science and Technology (KAUST), KSA
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In this paper, we propose a robust fractional-order proportional-integral (FOPI) 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 (LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional (FOP) observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.
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