An energy-gain bounding approach to robust fuzzy identification

  • Authors:
  • Mohit Kumar;Norbert Stoll;Regina Stoll

  • Affiliations:
  • Center for Life Science Automation, F.-Barnewitz-Str. 8, D-18119 Rostock, Germany;Institute of Automation, Richard-Wagner-Str. 31, D-18119 Rostock-Warnemünde, Germany;Institute of Occupational and Social Medicine, St.-Georg-Str. 108, D-18055 Rostock, Germany

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

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Abstract

A novel method for the robust identification of interpretable fuzzy models, based on the criterion that identification errors are least sensitive to data uncertainties and modelling errors, is suggested. The robustness of identification errors towards unknown disturbances (data uncertainties, modelling errors, etc.) is achieved by bounding (i.e. minimizing) the maximum possible value of energy-gain from disturbances to the identification errors. The solution of energy-gain bounding problem, being robust, shows an improved performance of the identification method. The flexibility of the proposed framework is shown by designing the variable learning rate identification algorithms in both deterministic and stochastic frameworks.