Nonlinear control of systems preceded by preisach hysteresis description: a prescribed adaptive control approach

Zhi Li, Xiuyu Zhang, Chun Yi Su, Tianyou Chai

Research output: Contribution to journalArticleAcademicpeer-review

32 Citations (Scopus)

Abstract

When systems are preceded by hysteresis nonlinearities, many controller strategies have been developed with various hysteresis models, especially in the past decade. Among the hysteresis models, the Preisach model has a very general and well-established mathematical structure. However, designs of controllers that guarantee the closed-loop stability of nonlinear systems having the Preisach hysteresis representation are still a challenging issue in the literature. In this paper, we will attempt to demonstrate a solution in which a stable controller can be designed for nonlinear systems that couple with Preisach hysteresis model. The key is that by utilizing the so-called Preisach plane, the Preisach model is reexpressed into a control-oriented form, in which the input signal is explicitly expressed. It is then possible to fuse available control techniques with the Preisach model designing stable controllers. As an illustration to show the advantage of the developed control-oriented form, a prescribed adaptive control approach is adopted to ensure the transient and steady-state performance of the tracking error. The effectiveness of the control scheme is validated by the experimental results.

LanguageEnglish
Article number7131530
Pages451-460
Number of pages10
JournalIEEE Transactions on Control Systems Technology
Volume24
Issue number2
DOIs
StatePublished - 1 Mar 2016

Fingerprint

Hysteresis
Controllers
Nonlinear systems
Control nonlinearities
Electric fuses

Keywords

  • Hysteresis
  • piezoelectric actuator
  • Preisach model
  • prescribed adaptive control
  • stability of nonlinear systems.

Cite this

@article{a83c9ed0648f43edad73453cf42a6147,
title = "Nonlinear control of systems preceded by preisach hysteresis description: a prescribed adaptive control approach",
abstract = "When systems are preceded by hysteresis nonlinearities, many controller strategies have been developed with various hysteresis models, especially in the past decade. Among the hysteresis models, the Preisach model has a very general and well-established mathematical structure. However, designs of controllers that guarantee the closed-loop stability of nonlinear systems having the Preisach hysteresis representation are still a challenging issue in the literature. In this paper, we will attempt to demonstrate a solution in which a stable controller can be designed for nonlinear systems that couple with Preisach hysteresis model. The key is that by utilizing the so-called Preisach plane, the Preisach model is reexpressed into a control-oriented form, in which the input signal is explicitly expressed. It is then possible to fuse available control techniques with the Preisach model designing stable controllers. As an illustration to show the advantage of the developed control-oriented form, a prescribed adaptive control approach is adopted to ensure the transient and steady-state performance of the tracking error. The effectiveness of the control scheme is validated by the experimental results.",
keywords = "Hysteresis, piezoelectric actuator, Preisach model, prescribed adaptive control, stability of nonlinear systems.",
author = "Zhi Li and Xiuyu Zhang and Su, {Chun Yi} and Tianyou Chai",
year = "2016",
month = "3",
day = "1",
doi = "10.1109/TCST.2015.2441001",
language = "English",
volume = "24",
pages = "451--460",
journal = "IEEE Transactions on Control Systems Technology",
issn = "1063-6536",
publisher = "Institute of Electrical and Electronics Engineers",
number = "2",

}

Nonlinear control of systems preceded by preisach hysteresis description : a prescribed adaptive control approach. / Li, Zhi; Zhang, Xiuyu; Su, Chun Yi; Chai, Tianyou.

In: IEEE Transactions on Control Systems Technology, Vol. 24, No. 2, 7131530, 01.03.2016, p. 451-460.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Nonlinear control of systems preceded by preisach hysteresis description

T2 - IEEE Transactions on Control Systems Technology

AU - Li,Zhi

AU - Zhang,Xiuyu

AU - Su,Chun Yi

AU - Chai,Tianyou

PY - 2016/3/1

Y1 - 2016/3/1

N2 - When systems are preceded by hysteresis nonlinearities, many controller strategies have been developed with various hysteresis models, especially in the past decade. Among the hysteresis models, the Preisach model has a very general and well-established mathematical structure. However, designs of controllers that guarantee the closed-loop stability of nonlinear systems having the Preisach hysteresis representation are still a challenging issue in the literature. In this paper, we will attempt to demonstrate a solution in which a stable controller can be designed for nonlinear systems that couple with Preisach hysteresis model. The key is that by utilizing the so-called Preisach plane, the Preisach model is reexpressed into a control-oriented form, in which the input signal is explicitly expressed. It is then possible to fuse available control techniques with the Preisach model designing stable controllers. As an illustration to show the advantage of the developed control-oriented form, a prescribed adaptive control approach is adopted to ensure the transient and steady-state performance of the tracking error. The effectiveness of the control scheme is validated by the experimental results.

AB - When systems are preceded by hysteresis nonlinearities, many controller strategies have been developed with various hysteresis models, especially in the past decade. Among the hysteresis models, the Preisach model has a very general and well-established mathematical structure. However, designs of controllers that guarantee the closed-loop stability of nonlinear systems having the Preisach hysteresis representation are still a challenging issue in the literature. In this paper, we will attempt to demonstrate a solution in which a stable controller can be designed for nonlinear systems that couple with Preisach hysteresis model. The key is that by utilizing the so-called Preisach plane, the Preisach model is reexpressed into a control-oriented form, in which the input signal is explicitly expressed. It is then possible to fuse available control techniques with the Preisach model designing stable controllers. As an illustration to show the advantage of the developed control-oriented form, a prescribed adaptive control approach is adopted to ensure the transient and steady-state performance of the tracking error. The effectiveness of the control scheme is validated by the experimental results.

KW - Hysteresis

KW - piezoelectric actuator

KW - Preisach model

KW - prescribed adaptive control

KW - stability of nonlinear systems.

UR - http://www.scopus.com/inward/record.url?scp=84932145054&partnerID=8YFLogxK

U2 - 10.1109/TCST.2015.2441001

DO - 10.1109/TCST.2015.2441001

M3 - Article

VL - 24

SP - 451

EP - 460

JO - IEEE Transactions on Control Systems Technology

JF - IEEE Transactions on Control Systems Technology

SN - 1063-6536

IS - 2

M1 - 7131530

ER -