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AbstractIn this paper, an adaptive observer is proposed for the joint estimation of states and parameters of a fractional nonlinear system with external perturbations. The convergence of the proposed observer is derived in terms of linear matrix inequalities (LMIs) by using an indirect Lyapunov method.The proposed ℋ∞ adaptive observer is also robust against Lipschitz additive nonlinear uncertainty. The performance of the observer is illustrated through some examples including the chaotic Lorenz and Lü's systems. © 2016 John Wiley & Sons, Ltd.
CitationN’doye I, Laleg-Kirati T-M, Darouach M, Voos H (2016) ℋ∞ Adaptive observer for nonlinear fractional-order systems. International Journal of Adaptive Control and Signal Processing. Available: http://dx.doi.org/10.1002/acs.2699.
SponsorsKing Abdullah University of Science and Technology
University of Luxembourg, Faculty of Science, Technology and Communication (FSTC), FNR-Luxembourg