ℋ∞ Adaptive observer for nonlinear fractional-order systems

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

doi:10.1002/acs.2699

ℋ∞ Adaptive observer for nonlinear fractional-order systems

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

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Abstract

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 language	English (US)
Pages (from-to)	314-331
Number of pages	18
Journal	International Journal of Adaptive Control and Signal Processing
Volume	31
Issue number	3
DOIs	https://doi.org/10.1002/acs.2699
State	Published - Jun 22 2016

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author = "Ibrahima Ndoye and Taous-Meriem Laleg-Kirati and Mohamed Darouach and Holger Voos",

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AU - Ndoye, Ibrahima

AU - Laleg-Kirati, Taous-Meriem

AU - Darouach, Mohamed

AU - Voos, Holger

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: King Abdullah University of Science and Technology

PY - 2016/6/22

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N2 - 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.

AB - 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.

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JO - International Journal of Adaptive Control and Signal Processing

JF - International Journal of Adaptive Control and Signal Processing

IS - 3

ER -

ℋ∞ Adaptive observer for nonlinear fractional-order systems

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