ℋ∞ Adaptive observer for nonlinear fractional-order systems

Ibrahima Ndoye, Taous-Meriem Laleg-Kirati, Mohamed Darouach, Holger Voos

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


In 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.
Original languageEnglish (US)
Pages (from-to)314-331
Number of pages18
JournalInternational Journal of Adaptive Control and Signal Processing
Issue number3
StatePublished - Jun 22 2016


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