Type
Book ChapterKAUST Department
Computational Bioscience Research Center (CBRC)Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Estimation, Modeling and ANalysis Group
Physical Science and Engineering (PSE) Division
Date
2018Permanent link to this record
http://hdl.handle.net/10754/668032
Metadata
Show full item recordAbstract
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.Citation
Belkhatir, Z., N’Doye, I., & Laleg-Kirati, T. M. (2018). Estimation Methods for Fractional-Order Systems. Fractional Order Systems, 451–475. doi:10.1016/b978-0-12-816152-4.00015-7Publisher
Elsevier BVISBN
9780128161524Additional Links
https://linkinghub.elsevier.com/retrieve/pii/B9780128161524000157ae974a485f413a2113503eed53cd6c53
10.1016/b978-0-12-816152-4.00015-7