Robust fuzzy control for a hybrid magnetic bearings: the relaxed stabilization condition approach

Hwa Chang Sung, Jin Bae Park

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2016 Sept 1

Bibliographical note

Funding Information:
This work has been supported by Institute of BioMed-IT, Energy-IT and Smart-IT Technology (BEST), a Brain Korea 21 plus program, Yonsei University.

Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.

All Science Journal Classification (ASJC) codes

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


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