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

Abstract

"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 supple-mentary 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 simula-tions are presented to illustrate the good feasibility of this approach for a case in which the estimation is not easily accomplished by other means."