Abstract
The paper presents two numerical procedures in the continuous time for the identification of parameters of a class of Hamiltonian systems. Employing the definition of First Integrals and their characteristics, the suggested approach permits to treat the parametric identification process as a stabilization of the derivative of the first integrals. It is realized by two proposed numerical procedures, supported by an super-twist differentiator to have online estimates of the derivatives of the generalized state coordinates and impulses. The convergence of these identification procedures and their implementation in a scalar and vector cases are presented. The numerical examples illustrate a good workability of the suggested method.
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Hernandez, A., Poznyak, A. Nonlinear Parametric Estimation of Hamiltonian Systems: Identification as Stabilization. Autom Remote Control 81, 1611–1626 (2020). https://doi.org/10.1134/S0005117920090027
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DOI: https://doi.org/10.1134/S0005117920090027