ℋ    ∞     Adaptive observer for nonlinear fractional‐order systems | Zendy

N'doye Ibrahima | Zendy; LalegKirati TaousMeriem | Zendy; Darouach Mohamed | Zendy; Voos Holger | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research