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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.
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https://hal.archives-ouvertes.fr/hal-00161312
Contributor : Valérie Abel <>
Submitted on : Tuesday, July 10, 2007 - 2:38:03 PM
Last modification on : Monday, March 30, 2020 - 4:30:27 PM

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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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