Fractional-order adaptive fault estimation for a class of nonlinear fractional-order systems

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Abstract

This paper studies the problem of fractional-order adaptive fault estimation for a class of fractional-order Lipschitz nonlinear systems using fractional-order adaptive fault observer. Sufficient conditions for the asymptotical convergence of the fractional-order state estimation error, the conventional integer-order and the fractional-order faults estimation error are derived in terms of linear matrix inequalities (LMIs) formulation by introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach where the fractional-order α belongs to 0 < α < 1. A numerical example is given to demonstrate the validity of the proposed approach.
Original languageEnglish (US)
Title of host publication2015 American Control Conference (ACC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages3804-3809
Number of pages6
ISBN (Print)9781479986842
DOIs
StatePublished - Jul 30 2015

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