A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems

Xinkai Chen, Chun Yi Su, Toshio Fukuda

Research output: Contribution to journalArticle

107 Citations (Scopus)

Abstract

This paper proposes a new nonlinear-disturbance observer for multivariable minimum-phase systems with arbitrary relative degrees. The model uncertainties and the system nonlinearities are treated as disturbances. The estimation of individual disturbances is independent of each other and the derivatives of the disturbances can be independently estimated. The proposed formulation is inspired by the variable structure-control method and adaptive algorithms where the a priori information concerning the upper bounds of the disturbances and their derivatives is not required. The nonlinear-disturbance observer is robust to the types of disturbances. Stability analysis shows that the estimation error decreases exponentially to a steady value, which is determined by the design parameters. To illustrate the method, the proposed design is applied to a vertical-shaft magnetic-bearing system where the rotational disturbances and their derivatives are estimated based on a linearized model of the rotational motion. Simulation results show the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)569-577
Number of pages9
JournalIEEE Transactions on Control Systems Technology
Volume12
Issue number4
DOIs
Publication statusPublished - 2004 Jul

Fingerprint

Multivariable systems
Magnetic bearings
Derivatives
Variable structure control
Convergence of numerical methods
Adaptive algorithms
Error analysis

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems. / Chen, Xinkai; Su, Chun Yi; Fukuda, Toshio.

In: IEEE Transactions on Control Systems Technology, Vol. 12, No. 4, 07.2004, p. 569-577.

Research output: Contribution to journalArticle

@article{1438fd5fe67042c9ab441f0de808d88a,
title = "A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems",
abstract = "This paper proposes a new nonlinear-disturbance observer for multivariable minimum-phase systems with arbitrary relative degrees. The model uncertainties and the system nonlinearities are treated as disturbances. The estimation of individual disturbances is independent of each other and the derivatives of the disturbances can be independently estimated. The proposed formulation is inspired by the variable structure-control method and adaptive algorithms where the a priori information concerning the upper bounds of the disturbances and their derivatives is not required. The nonlinear-disturbance observer is robust to the types of disturbances. Stability analysis shows that the estimation error decreases exponentially to a steady value, which is determined by the design parameters. To illustrate the method, the proposed design is applied to a vertical-shaft magnetic-bearing system where the rotational disturbances and their derivatives are estimated based on a linearized model of the rotational motion. Simulation results show the effectiveness of the proposed method.",
author = "Xinkai Chen and Su, {Chun Yi} and Toshio Fukuda",
year = "2004",
month = "7",
doi = "10.1109/TCST.2004.825135",
language = "English",
volume = "12",
pages = "569--577",
journal = "IEEE Transactions on Control Systems Technology",
issn = "1063-6536",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

TY - JOUR

T1 - A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems

AU - Chen, Xinkai

AU - Su, Chun Yi

AU - Fukuda, Toshio

PY - 2004/7

Y1 - 2004/7

N2 - This paper proposes a new nonlinear-disturbance observer for multivariable minimum-phase systems with arbitrary relative degrees. The model uncertainties and the system nonlinearities are treated as disturbances. The estimation of individual disturbances is independent of each other and the derivatives of the disturbances can be independently estimated. The proposed formulation is inspired by the variable structure-control method and adaptive algorithms where the a priori information concerning the upper bounds of the disturbances and their derivatives is not required. The nonlinear-disturbance observer is robust to the types of disturbances. Stability analysis shows that the estimation error decreases exponentially to a steady value, which is determined by the design parameters. To illustrate the method, the proposed design is applied to a vertical-shaft magnetic-bearing system where the rotational disturbances and their derivatives are estimated based on a linearized model of the rotational motion. Simulation results show the effectiveness of the proposed method.

AB - This paper proposes a new nonlinear-disturbance observer for multivariable minimum-phase systems with arbitrary relative degrees. The model uncertainties and the system nonlinearities are treated as disturbances. The estimation of individual disturbances is independent of each other and the derivatives of the disturbances can be independently estimated. The proposed formulation is inspired by the variable structure-control method and adaptive algorithms where the a priori information concerning the upper bounds of the disturbances and their derivatives is not required. The nonlinear-disturbance observer is robust to the types of disturbances. Stability analysis shows that the estimation error decreases exponentially to a steady value, which is determined by the design parameters. To illustrate the method, the proposed design is applied to a vertical-shaft magnetic-bearing system where the rotational disturbances and their derivatives are estimated based on a linearized model of the rotational motion. Simulation results show the effectiveness of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=4344571674&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4344571674&partnerID=8YFLogxK

U2 - 10.1109/TCST.2004.825135

DO - 10.1109/TCST.2004.825135

M3 - Article

VL - 12

SP - 569

EP - 577

JO - IEEE Transactions on Control Systems Technology

JF - IEEE Transactions on Control Systems Technology

SN - 1063-6536

IS - 4

ER -