1. An optimal instrumental variable approach for continuous-time multiple input-single output fractional model identification
- Author
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Abir Mayoufi, Stéphane Victor, Rachid Malti, Mohamed Aoun, Manel Chetoui, Modélisation, Analyse et Commande de Systèmes - MACS (Gabès, Tunisie), Université de Gabès, Laboratoire de l'intégration, du matériau au système (IMS), Université Sciences et Technologies - Bordeaux 1-Institut Polytechnique de Bordeaux-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Institut Polytechnique de Bordeaux-Université Sciences et Technologies - Bordeaux 1, and Victor, Stéphane
- Subjects
0209 industrial biotechnology ,Computer science ,020208 electrical & electronic engineering ,Instrumental variable ,Monte Carlo method ,System identification ,Fractional model ,Context (language use) ,02 engineering and technology ,Extension (predicate logic) ,Multiple input ,[SPI.AUTO]Engineering Sciences [physics]/Automatic ,Identification (information) ,[SPI.AUTO] Engineering Sciences [physics]/Automatic ,020901 industrial engineering & automation ,Control and Systems Engineering ,0202 electrical engineering, electronic engineering, information engineering ,Algorithm ,ComputingMilieux_MISCELLANEOUS - Abstract
This paper proposes an instrumental variable approach for continuous-time system identification using fractional models with multiple input single output context. This work is an extension of the simplified refined instrumental variable approach (srivcf ) developed for single input-single output fractional model identification (Malti et al. (2008a); Victor et al. (2013)) to the multiple input-single output case. Monte Carlo simulation analysis is used to demonstrate the performance of the proposed approach. A study is then provided to motivate differentiation order estimation, and more specifically, commensurate order estimation.
- Published
- 2020