2018 |
Hamdi, Saif Eddine; Amairi, Messaoud; Aoun, Mohamed Recursive set-membership parameter estimation of fractional systems using orthotopic approach Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 40, no. 15, p. 4185 – 4197, 2018, (Cited by: 5). Résumé | Liens | BibTeX | Étiquettes: Bounded error context, Bounded errors, Errors, Fractional systems, Fractional-order systems, Iterative algorithm, Iterative methods, Monte Carlo methods, Order estimation, Parameter estimation, Set membership approach, Unknown but bounded @article{Hamdi20184185b, In this paper, set-membership parameter estimation of linear fractional-order systems is addressed for the case of unknown-but-bounded equation error. In such bounded-error context with a-priori known noise bounds, the main goal is to characterize the set of all feasible parameters. This characterization is performed using an orthotopic strategy adapted for fractional system parameter estimation. In the case of a fractional commensurate system, an iterative algorithm is proposed to deal with commensurate-order estimation. The performances of the proposed algorithm are illustrated by a numerical example via a Monte Carlo simulation. © The Author(s) 2018. |
2013 |
Hamdi, S. E.; Amairi, M.; Aoun, M.; Abdelkrim, M. N. Interval state observer design for fractional systems Conférence 2013, (Cited by: 2). Résumé | Liens | BibTeX | Étiquettes: Bounded errors, Design, Differential equations, Fractional differential equations, Fractional systems, Initial value problems, Interval analysis, observer, Observer-based, Prediction-correction, State estimation, State observer @conference{Hamdi2013b, This paper presents a design method for interval state observer for fractional systems in a bounded-error context. A causal observer based on prediction-correction approach is proposed. The prediction part consists on a validated solving of an Initial Value Problem (IVP) for a Fractional Differential Equation (FDE) and the correction part uses set inversion algorithm. A numerical example is presented to show the effectiveness of the proposed design method. © 2013 IEEE. |
Publications
2018 |
Recursive set-membership parameter estimation of fractional systems using orthotopic approach Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 40, no. 15, p. 4185 – 4197, 2018, (Cited by: 5). |
2013 |
Interval state observer design for fractional systems Conférence 2013, (Cited by: 2). |