Identification of Precision Motion Systems with Prandtl-Ishlinskii Hysteresis Nonlinearities

Affiliation auteursAffiliation ok
TitreIdentification of Precision Motion Systems with Prandtl-Ishlinskii Hysteresis Nonlinearities
Type de publicationConference Paper
Year of Publication2018
AuteursAljanaideh KF, Rakotondrabe M, Janaideh MAl, Kundur D
Conference Name2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
PublisherIEEE
Conference Location345 E 47TH ST, NEW YORK, NY 10017 USA
ISBN Number978-1-5386-5428-6
Résumé

In this paper, we introduce an algorithm to identify the nonlinear dynamics of a class of precision motion systems, which is modeled as a Hammerstein system, that is, a cascade of a Prandtl-Ishlinskii nonlinearity with a linear system. The hysteresis nonlinearity, the linear system, and the intermediate signal between them are assumed to be unknown. The first stage in the algorithm is to identify the linear plant from measurements of the input and the output of the Hammerstein system. Then, the unknown intermediate signal is reconstructed using the output and the identified model of the linear system. Finally, the Prandtl-Ishlinskii nonlinearity is estimated using the input and the reconstructed intermediate signal. We show that under some conditions, the identified model of the linear plant and the estimated Prandtl-Ishlinskii nonlinearity are correct up to an unknown scalar factor.