Optimal input design for parameter estimation for nonlinear dynamical systems with bounded-errors and application in aeronautic domain

Optimal input design for parameter estimation for nonlinear dynamical systems with bounded-errors and application in aeronautic domain

Qiaochu Li Carine Jauberthie Lilianne Denis-Vidal Zohra Cherfi Moussa Maïga 

Laboratoire Mathématiques Appliquées de Compiègne (LMAC) Université de Technologie de Compiègne EA 2222 — 15 Rue Roger Couttolenc, 60200 Compiègne, France

LAAS-CNRS, Université de Toulouse, CNRS, UPS, Toulouse, France

Laboratoire Roberval UMR7337 - Université de Technologie de Compiègne, CNRS 15 Rue Roger Couttolenc, 60200 Compiègne, France

Corresponding Author Email: 
qiaochu.li,lilianne.denis-vidal@utc.fr; cjaubert,mmaiga@laas.fr; zohra.cherfi@utc.fr
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This paper deals with optimal input design for parameter estimation in a bounded error context. Interval analysis will be served as a tool in this paper. In this context, the measurement noise and parameters are considered bounded. The model parameter estimation is realized by combining the valided numeric integration tools and set-membership operations. To improve the accuracy on parameters, the sensitivity analysis based optimal input design is thus proposed, more accurate estimation results have been obtained which is our main contribution. This process for obtaining optimal input design has been tested on an aircraft model. The estimation results on parameters by using optimal input have been compared with the case by using a non optimal input.


state estimation, parameter estimation, nonlinear system, bounded error, optimal input design, interval analysis

1. Introduction
2. Présentation du problème et cas d’étude
3. Estimation d’état et de paramètres en utilisant l’analyse par intervalles
4. Entrée optimale via le critère MIGMAG
5. Application
6. Conclusion

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