Modeling and inverse adaptive control of asymmetric hysteresis systems with applications to magnetostrictive actuator

Zhi Li, Chun Yi Su, Xinkai Chen

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

When uncertain systems are actuated by smart material based actuators, the systems exhibit hysteresis nonlinearities and corresponding control is becoming a challenging task, especially with magnetostrictive actuators which are dominated by asymmetric hystereses. The common approach for overcoming the hysteresis effect is inverse compensation combining with robust adaptive control. Focusing on the asymmetric hysteresis phenomenon, an asymmetric shifted Prandtl-Ishlinskii (ASPI) model and its inverse are developed and a corresponding analytical expression for the inverse compensation error is derived. Then, a prescribed adaptive control method is applied to mitigate the compensation error and simultaneously guaranteeing global stability of the closed loop system with a prescribed transient and steady-state performance of the tracking error without knowledge of system parameters. The effectiveness of the proposed control scheme is validated on a magnetostrictive actuated platform.

Original languageEnglish
Pages (from-to)148-160
Number of pages13
JournalControl Engineering Practice
Volume33
DOIs
Publication statusPublished - 2014 Dec 1

Fingerprint

Hysteresis
Actuators
Error compensation
Intelligent materials
Control nonlinearities
Uncertain systems
Closed loop systems

Keywords

  • Asymmetric hysteresis
  • Asymmetric shifted prandtl-ishlinskii (ASPI) model
  • Magnetostrictive actuator
  • Prescribed adaptive control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics
  • Computer Science Applications

Cite this

Modeling and inverse adaptive control of asymmetric hysteresis systems with applications to magnetostrictive actuator. / Li, Zhi; Su, Chun Yi; Chen, Xinkai.

In: Control Engineering Practice, Vol. 33, 01.12.2014, p. 148-160.

Research output: Contribution to journalArticle

@article{079abde861624421a7bd2c69a5196ba2,
title = "Modeling and inverse adaptive control of asymmetric hysteresis systems with applications to magnetostrictive actuator",
abstract = "When uncertain systems are actuated by smart material based actuators, the systems exhibit hysteresis nonlinearities and corresponding control is becoming a challenging task, especially with magnetostrictive actuators which are dominated by asymmetric hystereses. The common approach for overcoming the hysteresis effect is inverse compensation combining with robust adaptive control. Focusing on the asymmetric hysteresis phenomenon, an asymmetric shifted Prandtl-Ishlinskii (ASPI) model and its inverse are developed and a corresponding analytical expression for the inverse compensation error is derived. Then, a prescribed adaptive control method is applied to mitigate the compensation error and simultaneously guaranteeing global stability of the closed loop system with a prescribed transient and steady-state performance of the tracking error without knowledge of system parameters. The effectiveness of the proposed control scheme is validated on a magnetostrictive actuated platform.",
keywords = "Asymmetric hysteresis, Asymmetric shifted prandtl-ishlinskii (ASPI) model, Magnetostrictive actuator, Prescribed adaptive control",
author = "Zhi Li and Su, {Chun Yi} and Xinkai Chen",
year = "2014",
month = "12",
day = "1",
doi = "10.1016/j.conengprac.2014.09.004",
language = "English",
volume = "33",
pages = "148--160",
journal = "Control Engineering Practice",
issn = "0967-0661",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Modeling and inverse adaptive control of asymmetric hysteresis systems with applications to magnetostrictive actuator

AU - Li, Zhi

AU - Su, Chun Yi

AU - Chen, Xinkai

PY - 2014/12/1

Y1 - 2014/12/1

N2 - When uncertain systems are actuated by smart material based actuators, the systems exhibit hysteresis nonlinearities and corresponding control is becoming a challenging task, especially with magnetostrictive actuators which are dominated by asymmetric hystereses. The common approach for overcoming the hysteresis effect is inverse compensation combining with robust adaptive control. Focusing on the asymmetric hysteresis phenomenon, an asymmetric shifted Prandtl-Ishlinskii (ASPI) model and its inverse are developed and a corresponding analytical expression for the inverse compensation error is derived. Then, a prescribed adaptive control method is applied to mitigate the compensation error and simultaneously guaranteeing global stability of the closed loop system with a prescribed transient and steady-state performance of the tracking error without knowledge of system parameters. The effectiveness of the proposed control scheme is validated on a magnetostrictive actuated platform.

AB - When uncertain systems are actuated by smart material based actuators, the systems exhibit hysteresis nonlinearities and corresponding control is becoming a challenging task, especially with magnetostrictive actuators which are dominated by asymmetric hystereses. The common approach for overcoming the hysteresis effect is inverse compensation combining with robust adaptive control. Focusing on the asymmetric hysteresis phenomenon, an asymmetric shifted Prandtl-Ishlinskii (ASPI) model and its inverse are developed and a corresponding analytical expression for the inverse compensation error is derived. Then, a prescribed adaptive control method is applied to mitigate the compensation error and simultaneously guaranteeing global stability of the closed loop system with a prescribed transient and steady-state performance of the tracking error without knowledge of system parameters. The effectiveness of the proposed control scheme is validated on a magnetostrictive actuated platform.

KW - Asymmetric hysteresis

KW - Asymmetric shifted prandtl-ishlinskii (ASPI) model

KW - Magnetostrictive actuator

KW - Prescribed adaptive control

UR - http://www.scopus.com/inward/record.url?scp=84908260062&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908260062&partnerID=8YFLogxK

U2 - 10.1016/j.conengprac.2014.09.004

DO - 10.1016/j.conengprac.2014.09.004

M3 - Article

AN - SCOPUS:84908260062

VL - 33

SP - 148

EP - 160

JO - Control Engineering Practice

JF - Control Engineering Practice

SN - 0967-0661

ER -