Comments on computing extreme values in “Stability issues on Takagi-Sugeno fuzzy model-parametric approach” [and reply]

  • Authors:
  • R. Dvorakav;P. Husek;Ji-Chang Lo;Min-Long Lin

  • Affiliations:
  • Trnka Lab. for Autom. Control., Czech Tech. Univ., Prague;-;-;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2001

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Abstract

The commenters analyze the results published in the above paper by Lo and Chen (ibid. vol.17 (1999)) which concern a new method of stability analysis of Takagi-Sugeno fuzzy systems, and amend the comments given by Johansen et al. (ibid. vol.8 (2000)). It is shown that the computational procedure presented by Lo-Chen is not valid for fuzzy systems where the number of rules is greater than three. In reply, Lo-Chen have modified the original claim and patched up the error to generate a sufficient effect provided that an appropriate switching is taken into account; the switching criterion is not overly restrictive and the nature of fuzzy systems permits such practices. They also point out that a computational procedure for multidimensional cases and a routine construction is readily available in the Matlab package