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ℋ ∞ Adaptive observer for nonlinear fractional‐order systems
Author(s) -
N'doye Ibrahima,
LalegKirati TaousMeriem,
Darouach Mohamed,
Voos Holger
Publication year - 2017
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2699
Subject(s) - control theory (sociology) , observer (physics) , nonlinear system , lipschitz continuity , convergence (economics) , mathematics , chaotic , linear matrix inequality , chaotic systems , lyapunov function , computer science , mathematical optimization , control (management) , mathematical analysis , artificial intelligence , physics , quantum mechanics , economics , economic growth
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 proposedℋ ∞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.