state and parameter estimation for systems described by nonlinear differential equations

Abstract : This paper investigates the use of guaranteed methods to perform state and parameter estimation for nonlinear continuous-time systems, in a bounded-error context. A state estimator based on a prediction-correction approach is given, where the prediction step consists in a validated integration of an initial value problem for an ordinary differential equation (IVP for ODE) using interval analysis and high-order Taylor models, while the correction step uses a previous termsetnext term inversion technique. The state estimator is extended to solve the parameter estimation problem. An illustrative example is presented for each part.
Type de document :
Article dans une revue
Automatica, Elsevier, 2004, 40 (10), pp.1771-1777. 〈10.1016/j.automatica.2004.05.006〉
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https://hal.archives-ouvertes.fr/hal-00161312
Contributeur : Valérie Abel <>
Soumis le : mardi 10 juillet 2007 - 14:38:03
Dernière modification le : jeudi 11 janvier 2018 - 06:21:19

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Tarek Raïssi, Nacim Ramdani Yves Candau. state and parameter estimation for systems described by nonlinear differential equations. Automatica, Elsevier, 2004, 40 (10), pp.1771-1777. 〈10.1016/j.automatica.2004.05.006〉. 〈hal-00161312〉

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