ℋ∞ Adaptive observer for nonlinear fractional‐order systems

Summary 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 meth...

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Bibliographic Details
Published in:International journal of adaptive control and signal processing 2017-03, Vol.31 (3), p.314-331
Main Authors: N'doye, Ibrahima, Laleg‐Kirati, Taous‐Meriem, Darouach, Mohamed, Voos, Holger
Format: Article
Language:English
Subjects:
adaptive observer
chaotic Lorenz system
chaotic Lü's system
fractional‐order nonlinear system
indirect Lyapunov approach
linear matrix inequality (LMI)
ℋ∞ design
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Summary:Summary 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. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0890-6327
1099-1115
DOI:10.1002/acs.2699