Parameters and fractional differentiation orders estimation for linear continuous-time non-commensurate fractional order systems

Zehor Belkhatir*, Meriem Laleg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

This paper proposes a two steps algorithm for the joint estimation of parameters and 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. Moreover, the method is extended to the joint estimation of smooth unknown input and fractional differentiation orders. A potential application of the proposed algorithm consists in estimating the fractional differentiation orders of a fractional neurovascular model along with the neural activity considered as an input for this model. To assess the performance of the proposed method, different numerical tests are conducted.

Original languageEnglish (US)
Pages (from-to)26-33
Number of pages8
JournalSystems and Control Letters
Volume115
DOIs
StatePublished - May 1 2018

Keywords

  • Linear fractional order systems
  • Modulating functions method
  • Non-commensurate orders
  • Parameters and fractional differentiation orders estimation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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