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 language||English (US)|
|Number of pages||8|
|Journal||Systems and Control Letters|
|State||Published - May 2018|
Bibliographical noteFunding Information:
Research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST) . The authors are thankful to the anonymous reviewers and the associate editor for their valuable comments that helped to improve the quality of the paper.
© 2018 Elsevier B.V.
- 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