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Virginia Tech

Two Methods for Modeling Scalar Hysteresis and their use in Controlling Actuators with Hysteresis

Abstract

dc:description.abstract

The accurate control of a positioning system that exhibits scalar hysteresis requires a control strategy that incorporates compensation for the hysteresis. One approach is to develop a compensator based on an inverse hysteresis operator. This method uses an open loop control in which the inverse operation adjusts the actuator input to compensate for the hysteresis in the system. When this is accomplished, the composite operation produces a linear relationship between a reference input and the system output. The difficulty of this method lies in developing an accurate model of the hysteresis for which an inverse operator can be obtained. In this work, a system with hysteresis is modeled by a generic model based on a Preisach type operator. First, it is shown that the operator has an inverse and that both have approximations that are convergent. Then, simulation and experimental data are used to demonstrate the ability of the operator to accurately model a hysteresis relationship. This lays the foundation for then demonstrating the concept of inverse compensation.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1999

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Galinaitis, William S.
Chair dc:contributor.committeechair
  • Rogers, Robert C.
Committee members dc:contributor.committeemember
  • Ball, Joseph A.
  • Kohler, Werner E.
  • Wheeler, Robert L.
  • Inman, Daniel J.

Subjects

dc:subject × 5

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
etd-120399-095822
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/40390

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Galinaitis, William S.. Two Methods for Modeling Scalar Hysteresis and their use in Controlling Actuators with Hysteresis. doctoral thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/40390