Adaptive control for the systems preceded by hysteresis

Xinkai Chen, Chun Yi Su, Toshio Fukuda

Research output: Contribution to journalArticle

86 Citations (Scopus)

Abstract

Hysteresis hinders the effectiveness of smart materials in sensors and actuators. It is a challenging task to control the systems with hysteresis. This note discusses the adaptive control for discrete time linear dynamical systems preceded with hysteresis described by the Prandtl-Ishlinskii model. The time delay and the order of the linear dynamical system are assumed to be known. The contribution of the note is the fusion of the hysteresis model with adaptive control techniques without constructing the inverse hysteresis nonlinearity. Only the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the controller are adaptively estimated online. The proposed control law ensures the global stability of the closed-loop system, and the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.

Original languageEnglish
Pages (from-to)1019-1025
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume53
Issue number4
DOIs
Publication statusPublished - 2008 May

Fingerprint

Hysteresis
Dynamical systems
Intelligent materials
Control nonlinearities
Closed loop systems
Probability density function
Linear systems
Time delay
Fusion reactions
Actuators
Controllers
Sensors

Keywords

  • Adaptive control
  • Discrete time linear systems
  • Hysteresis
  • Prandtl-Ishlinskii model

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Adaptive control for the systems preceded by hysteresis. / Chen, Xinkai; Su, Chun Yi; Fukuda, Toshio.

In: IEEE Transactions on Automatic Control, Vol. 53, No. 4, 05.2008, p. 1019-1025.

Research output: Contribution to journalArticle

Chen, Xinkai ; Su, Chun Yi ; Fukuda, Toshio. / Adaptive control for the systems preceded by hysteresis. In: IEEE Transactions on Automatic Control. 2008 ; Vol. 53, No. 4. pp. 1019-1025.
@article{a23aa3e9e4264fb190202b0d23dc0f54,
title = "Adaptive control for the systems preceded by hysteresis",
abstract = "Hysteresis hinders the effectiveness of smart materials in sensors and actuators. It is a challenging task to control the systems with hysteresis. This note discusses the adaptive control for discrete time linear dynamical systems preceded with hysteresis described by the Prandtl-Ishlinskii model. The time delay and the order of the linear dynamical system are assumed to be known. The contribution of the note is the fusion of the hysteresis model with adaptive control techniques without constructing the inverse hysteresis nonlinearity. Only the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the controller are adaptively estimated online. The proposed control law ensures the global stability of the closed-loop system, and the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.",
keywords = "Adaptive control, Discrete time linear systems, Hysteresis, Prandtl-Ishlinskii model",
author = "Xinkai Chen and Su, {Chun Yi} and Toshio Fukuda",
year = "2008",
month = "5",
doi = "10.1109/TAC.2008.919551",
language = "English",
volume = "53",
pages = "1019--1025",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

TY - JOUR

T1 - Adaptive control for the systems preceded by hysteresis

AU - Chen, Xinkai

AU - Su, Chun Yi

AU - Fukuda, Toshio

PY - 2008/5

Y1 - 2008/5

N2 - Hysteresis hinders the effectiveness of smart materials in sensors and actuators. It is a challenging task to control the systems with hysteresis. This note discusses the adaptive control for discrete time linear dynamical systems preceded with hysteresis described by the Prandtl-Ishlinskii model. The time delay and the order of the linear dynamical system are assumed to be known. The contribution of the note is the fusion of the hysteresis model with adaptive control techniques without constructing the inverse hysteresis nonlinearity. Only the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the controller are adaptively estimated online. The proposed control law ensures the global stability of the closed-loop system, and the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.

AB - Hysteresis hinders the effectiveness of smart materials in sensors and actuators. It is a challenging task to control the systems with hysteresis. This note discusses the adaptive control for discrete time linear dynamical systems preceded with hysteresis described by the Prandtl-Ishlinskii model. The time delay and the order of the linear dynamical system are assumed to be known. The contribution of the note is the fusion of the hysteresis model with adaptive control techniques without constructing the inverse hysteresis nonlinearity. Only the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the controller are adaptively estimated online. The proposed control law ensures the global stability of the closed-loop system, and the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.

KW - Adaptive control

KW - Discrete time linear systems

KW - Hysteresis

KW - Prandtl-Ishlinskii model

UR - http://www.scopus.com/inward/record.url?scp=44849089917&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44849089917&partnerID=8YFLogxK

U2 - 10.1109/TAC.2008.919551

DO - 10.1109/TAC.2008.919551

M3 - Article

VL - 53

SP - 1019

EP - 1025

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 4

ER -