State estimation by interval analysis for a nonlinear differential aerospace model

Pauline Ribot (1) , Carine Jauberthie (1) , Louise Travé-Massuyès (1)

1 LAAS-DISCO - Équipe DIagnostic, Supervision et COnduite

This paper deals with guaranteed state estimation in a bounded-error context for an aerospace model. Perturbations are assumed bounded but otherwise unknown. The main tools to solve this problem are the guaranteed techniques for ordinary differential equation integration and set inversion. The obtained results show the efficiency of the method.

Mots clés: State estimation; Continuous-time systems; Nonlinear systems; Bounded noise; Interval analysis

Domaines: Systèmes dynamiques [math.DS]; Analyse numérique [math.NA]; Optimisation et contrôle [math.OC]; Traitement du signal et de l'image [eess.SP]; Automatique / Robotique; Santé publique et épidémiologie

Pauline Ribot, Carine Jauberthie, Louise Travé-Massuyès. State estimation by interval analysis for a nonlinear differential aerospace model. European Control Conference (ECC 2007), Jul 2007, Kos, Greece. ⟨hal-01966353⟩