Robust L2-gain compensative control for direct-adaptive fuzzy-control-system design

  • Authors:

  • Yao-Chu Hsueh;Shun-Feng Su;C. W. Tao;Chih-Ching Hsiao

  • Affiliations:

  • Department of Electrical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;Department of Electrical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;Department of Electrical Engineering, National I-Lan University, I-Lan, Taiwan;Department of Electrical Engineering, Kau-Yuan University, Kaohsiung, Taiwan

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2010

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Abstract

In this study, an effective and systematical robust approach for adaptive fuzzy-control-system design is proposed. In the design, a compensative-control law is proposed to provide the finite L2-gain property for direct-adaptive fuzzy-control systems to cope with possible external disturbances and approximation errors of the system. An integral term is further introduced into the compensative-control law to provide a more stable edge in order to have better control performance. With such a compensative-control law, the control performance can be anticipated in the L2-gain robust-control sense. As a consequence, the dead-zone modification approach can then be employed to resolve the parameter-drift problem occurring in traditional learning of adaptive fuzzy-control systems. Finally, various simulations are conducted to demonstrate the effectiveness of the proposed approach.