Piecewise Linear Identification for the Rate-Independent and Rate-Dependent Duhem Hysteresis Models

Author

Oh, Jinhyoung ; Bernstein, Dennis S.

Author_Institution

Autoliv Electron. America, Southfield, MI

Volume

52

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

576

Lastpage

582

Abstract

We consider the semilinear Duhem model and develop an identification method for rate-independent and rate-dependent hysteresis. For rate-independent hysteresis, we reparameterize the system in terms of the input signal, so that the system has the form of a switching linear time-invariant system with ramp-plus-step forcing. For rate-dependent hysteresis, the system can be viewed as a switching linear time-invariant system for triangle wave inputs. Least-squares-based methods are developed to identify the rate-independent and rate-dependent semilinear Duhem models

Keywords

control nonlinearities; hysteresis; identification; least squares approximations; linear systems; piecewise linear techniques; time-varying systems; least squares method; piecewise linear identification; ramp plus step forcing; rate dependent hysteresis model; rate independent hysteresis model; semilinear Duhem model; switching linear time-invariant system; Differential equations; Frequency dependence; Friction; Guidelines; Hysteresis; Linear systems; Nonlinear systems; Parameter estimation; Piecewise linear techniques; Transforms; Duhem model; hysteresis; rate dependence;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2007.892369

Filename

4132917