Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis

Qingqing Wang, Chun Yi Su, Xinkai Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)

Abstract

This paper deals with robust adaptive control of a class of nonlinear systems preceded by unknown hysteresis nonlinearities. By using a Prandtl-Ishlinskii model with play and stop operators and by exploring the properties of this model intuitively and mathematically, we attempt to fuse the model of hysteresis nonlinearities with the available control techniques without necessarily constructing a hysteresis inverse. A robust adaptive control scheme is therefore proposed. The global stability of the adaptive system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages213-218
Number of pages6
Volume1
Publication statusPublished - 2004
Externally publishedYes
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: 2004 Dec 142004 Dec 17

Other

Other2004 43rd IEEE Conference on Decision and Control (CDC)
CountryBahamas
CityNassau
Period04/12/1404/12/17

Fingerprint

Hysteresis
Nonlinear systems
Control nonlinearities
Adaptive systems
Electric fuses
Trajectories

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

Cite this

Wang, Q., Su, C. Y., & Chen, X. (2004). Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 213-218)

Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis. / Wang, Qingqing; Su, Chun Yi; Chen, Xinkai.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2004. p. 213-218.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wang, Q, Su, CY & Chen, X 2004, Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis. in Proceedings of the IEEE Conference on Decision and Control. vol. 1, pp. 213-218, 2004 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas, 04/12/14.
Wang Q, Su CY, Chen X. Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis. In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 2004. p. 213-218
Wang, Qingqing ; Su, Chun Yi ; Chen, Xinkai. / Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis. Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2004. pp. 213-218
@inproceedings{cacf150aec524cefbb5a1c627ffea9f2,
title = "Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis",
abstract = "This paper deals with robust adaptive control of a class of nonlinear systems preceded by unknown hysteresis nonlinearities. By using a Prandtl-Ishlinskii model with play and stop operators and by exploring the properties of this model intuitively and mathematically, we attempt to fuse the model of hysteresis nonlinearities with the available control techniques without necessarily constructing a hysteresis inverse. A robust adaptive control scheme is therefore proposed. The global stability of the adaptive system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.",
author = "Qingqing Wang and Su, {Chun Yi} and Xinkai Chen",
year = "2004",
language = "English",
volume = "1",
pages = "213--218",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",

}

TY - GEN

T1 - Robust adaptive control of a class of nonlinear systems with Prandtl-Ishlinskii hysteresis

AU - Wang, Qingqing

AU - Su, Chun Yi

AU - Chen, Xinkai

PY - 2004

Y1 - 2004

N2 - This paper deals with robust adaptive control of a class of nonlinear systems preceded by unknown hysteresis nonlinearities. By using a Prandtl-Ishlinskii model with play and stop operators and by exploring the properties of this model intuitively and mathematically, we attempt to fuse the model of hysteresis nonlinearities with the available control techniques without necessarily constructing a hysteresis inverse. A robust adaptive control scheme is therefore proposed. The global stability of the adaptive system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.

AB - This paper deals with robust adaptive control of a class of nonlinear systems preceded by unknown hysteresis nonlinearities. By using a Prandtl-Ishlinskii model with play and stop operators and by exploring the properties of this model intuitively and mathematically, we attempt to fuse the model of hysteresis nonlinearities with the available control techniques without necessarily constructing a hysteresis inverse. A robust adaptive control scheme is therefore proposed. The global stability of the adaptive system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.

UR - http://www.scopus.com/inward/record.url?scp=14344258387&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14344258387&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:14344258387

VL - 1

SP - 213

EP - 218

BT - Proceedings of the IEEE Conference on Decision and Control

ER -