Guaranteed State and Parameter Estimation for Nonlinear Dynamical Aerospace Models

Qiaochu Li (1, 2, 3) , Carine Jauberthie (2) , Lilianne Denis-Vidal (3) , Zohra Cherfi (1)

1 Roberval - Roberval
2 LAAS-DISCO - Équipe DIagnostic, Supervision et COnduite
3 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne

This paper deals with parameter and state estimation in a bounded-error context for uncertain dynamical aerospace models when the input is considered optimized or not. In a bounded-error context, perturbations are assumed bounded but otherwise unknown. The parameters to be estimated are also considered bounded. The tools of the presented work are based on a guaranteed numerical set integration solver of ordinary differential equations combined with adapted set inversion computation. The main contribution of this work consists in developing procedures for parameter estimation whose performance is highly related with the input of system. In this paper, a comparison with a classical non-optimized input is proposed.

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

Domaines: Automatique; Systèmes et contrôle [cs.SY]

Qiaochu Li, Carine Jauberthie, Lilianne Denis-Vidal, Zohra Cherfi. Guaranteed State and Parameter Estimation for Nonlinear Dynamical Aerospace Models. Informatics in Control, Automation and Robotics (ICINCO), Sep 2014, Vienna, Austria. pp.510-527, ⟨10.5220/0005053105190527⟩. ⟨hal-01136619⟩