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

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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.
Original languageEnglish (US)
Pages (from-to)268-277
Number of pages10
JournalIEEE/CAA Journal of Automatica Sinica
Volume6
Issue number1
DOIs
StatePublished - Feb 13 2018

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