Supersymmetric free-damped oscillators: Adaptive observer estimation of the Riccati parameter

Details Supersymmetric free-damped oscillators: Adaptive observer estimation of the Riccati parameter Supersymmetric free-damped oscillators: Adaptive observer estimation of the Riccati parameter

2004-11-02

arxiv.org/abs/physics/0411019v2

Int. J. Theor. Phys. 45, 2109-2117 (Nov. 2006)

Physics

Computational Physics

8 pages, 6 figures

Scientific paper

10.1007/s10773-006-9174-4

A supersymmetric class of free damped oscillators with three parameters has been obtained in 1998 by Rosu and Reyes through the factorization of the Newton equation. The supplementary parameter is the integration constant of the general Riccati solution. The estimation of the latter parameter is performed here by employing the recent adaptive observer scheme of Besancon et al., but applied in a nonstandard form in which a time-varying quantity containing the unknown Riccati parameter is estimated first. Results of computer simulations are presented to illustrate the good feasibility of this approach for a case in which the estimation is not easily accomplished by other means

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