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A fuzzy approach to stability of fuzzy controllers

✍ Scribed by Hans Bandemer; Silvio Hartmann

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
908 KB
Volume
96
Category
Article
ISSN
0165-0114

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✦ Synopsis

This paper deals with stability analysis of fuzzy controllers. A new definition embedding the notion of stability into fuzzy set theory is suggested. In this context the introduction of a gradual stability is discussed. Investigating stability needs a model of the process. One of the essential assumptions for the model used here is that the process has an approximatively linear structure within a sufficiently small time interval At. Possible deviations between the model and the real system are taken into account by specifying fuzzy parameters. For the sake of simplicity, however, only a simple version of the model is considered in the present paper. Moreover, some facts about the influence of the defuzzifier and the inference engine on the stability statement are presented. By using this model and the suggested definition of stability some criteria ensuring stability are derivedβ€’ @ 1998 Elsevier Science B.V. All rights reserved.

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