Robust fuzzy control for a hybrid magnetic bearings

the relaxed stabilization condition approach

Hwa Chang Sung, Jin Bae Park

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we propose robust fuzzy control for a hybrid magnetic bearings. The control objective of HMBs enables the rotor to rotate without any physical contact in spite of the nonlinearity and uncertainty of the concerned plants. To achieve the robust stability, we address the uncertainties of the given system based on the Takagi–Sugeno fuzzy model. Also, in order to maintain the relaxed stabilization condition, nonparallel distributed compensation control law, as analyzed by the parameter-dependent Lyapunov function, is applied to the HMBs with parametric uncertainties. The conditions for the robust controller are obtained in terms of solutions to linear matrix inequalities. Finally, simulation results for HMBs are used to demonstrate the feasibility of the proposed method.

Original languageEnglish
Pages (from-to)2487-2496
Number of pages10
JournalNonlinear Dynamics
Volume85
Issue number4
DOIs
Publication statusPublished - 2016 Sep 1

Fingerprint

Magnetic Bearing
Magnetic bearings
Robust control
Fuzzy control
Fuzzy Control
Robust Control
Stabilization
Parameter-dependent Lyapunov Function
Uncertainty
Takagi-Sugeno Fuzzy Model
Parametric Uncertainty
Robust Stability
Rotor
Matrix Inequality
Linear Inequalities
Nonlinearity
Contact
Lyapunov functions
Linear matrix inequalities
Controller

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

@article{ab5698ed45fe4479bed73023d64e10de,
title = "Robust fuzzy control for a hybrid magnetic bearings: the relaxed stabilization condition approach",
abstract = "In this paper, we propose robust fuzzy control for a hybrid magnetic bearings. The control objective of HMBs enables the rotor to rotate without any physical contact in spite of the nonlinearity and uncertainty of the concerned plants. To achieve the robust stability, we address the uncertainties of the given system based on the Takagi–Sugeno fuzzy model. Also, in order to maintain the relaxed stabilization condition, nonparallel distributed compensation control law, as analyzed by the parameter-dependent Lyapunov function, is applied to the HMBs with parametric uncertainties. The conditions for the robust controller are obtained in terms of solutions to linear matrix inequalities. Finally, simulation results for HMBs are used to demonstrate the feasibility of the proposed method.",
author = "Sung, {Hwa Chang} and Park, {Jin Bae}",
year = "2016",
month = "9",
day = "1",
doi = "10.1007/s11071-016-2839-5",
language = "English",
volume = "85",
pages = "2487--2496",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Netherlands",
number = "4",

}

Robust fuzzy control for a hybrid magnetic bearings : the relaxed stabilization condition approach. / Sung, Hwa Chang; Park, Jin Bae.

In: Nonlinear Dynamics, Vol. 85, No. 4, 01.09.2016, p. 2487-2496.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Robust fuzzy control for a hybrid magnetic bearings

T2 - the relaxed stabilization condition approach

AU - Sung, Hwa Chang

AU - Park, Jin Bae

PY - 2016/9/1

Y1 - 2016/9/1

N2 - In this paper, we propose robust fuzzy control for a hybrid magnetic bearings. The control objective of HMBs enables the rotor to rotate without any physical contact in spite of the nonlinearity and uncertainty of the concerned plants. To achieve the robust stability, we address the uncertainties of the given system based on the Takagi–Sugeno fuzzy model. Also, in order to maintain the relaxed stabilization condition, nonparallel distributed compensation control law, as analyzed by the parameter-dependent Lyapunov function, is applied to the HMBs with parametric uncertainties. The conditions for the robust controller are obtained in terms of solutions to linear matrix inequalities. Finally, simulation results for HMBs are used to demonstrate the feasibility of the proposed method.

AB - In this paper, we propose robust fuzzy control for a hybrid magnetic bearings. The control objective of HMBs enables the rotor to rotate without any physical contact in spite of the nonlinearity and uncertainty of the concerned plants. To achieve the robust stability, we address the uncertainties of the given system based on the Takagi–Sugeno fuzzy model. Also, in order to maintain the relaxed stabilization condition, nonparallel distributed compensation control law, as analyzed by the parameter-dependent Lyapunov function, is applied to the HMBs with parametric uncertainties. The conditions for the robust controller are obtained in terms of solutions to linear matrix inequalities. Finally, simulation results for HMBs are used to demonstrate the feasibility of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=84973160511&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84973160511&partnerID=8YFLogxK

U2 - 10.1007/s11071-016-2839-5

DO - 10.1007/s11071-016-2839-5

M3 - Article

VL - 85

SP - 2487

EP - 2496

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 4

ER -