Parameters and Fractional Differentiation Orders Estimation for Linear Continuous-Time Non-Commensurate Fractional Order Systems
KAUST Department
Computational Bioscience Research Center (CBRC)Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2018-04-05Online Publication Date
2018-04-05Print Publication Date
2018-05Permanent link to this record
http://hdl.handle.net/10754/623960
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This paper proposes a two-stage estimation algorithm to solve the problem of joint estimation of the parameters and the fractional differentiation orders of a linear continuous-time fractional system with non-commensurate orders. The proposed algorithm combines the modulating functions and the first-order Newton methods. Sufficient conditions ensuring the convergence of the method are provided. An error analysis in the discrete case is performed. Moreover, the method is extended to the joint estimation of smooth unknown input and fractional differentiation orders. The performance of the proposed approach is illustrated with different numerical examples. Furthermore, a potential application of the algorithm is proposed which consists in the estimation of the differentiation orders of a fractional neurovascular model along with the neural activity considered as input for this model.Citation
Belkhatir, Z., & Laleg-Kirati, T. M. (2018). Parameters and fractional differentiation orders estimation for linear continuous-time non-commensurate fractional order systems. Systems & Control Letters, 115, 26–33. doi:10.1016/j.sysconle.2018.02.012Publisher
Elsevier BVae974a485f413a2113503eed53cd6c53
10.1016/j.sysconle.2018.02.012
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Preprints; Electrical Engineering Program; Electrical Engineering Program; Computational Bioscience Research Center (CBRC); Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionThe following license files are associated with this item:
Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-nd/4.0/