Estimation Methods for Fractional-Order Systems

Zehor Belkhatir, Ibrahima Ndoye, Taous-Meriem Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations


This chapter deals with the design of estimation algorithms for fractional-order systems (FOSs). In particular, asymptotic and nonasymptotic methods, namely observer-based method and the modulating functions-based method, are presented, respectively. The first approach proposes an adaptive observer to estimate jointly the pseudostate and the parameters of nonlinear commensurate FOSs represented by a pseudostate representation. However, the second approach is concerned with linear noncommensurate FOSs represented by an input-output mapping and for which a modulating functions-based method is introduced to estimate the parameters and fractional differentiation orders. The analytical derivations for both techniques are provided. Moreover, their performance is illustrated through some numerical simulations.
Original languageEnglish (US)
Title of host publicationFractional Order Systems
Number of pages25
ISBN (Print)9780128161524
StatePublished - 2018


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