Fuzzy frequency response: Proposal and application for uncertain dynamic systems

Authors:
C. C. T. Ferreira;G. L. O. Serra
Affiliations:
Laboratory of Computational Intelligence Applied to Technology, Federal Institute of Education, Science and Technology, IFMA/DEE, Monte Castelo, 04, 65025-000 São Luís-MA, Brazil;Laboratory of Computational Intelligence Applied to Technology, Federal Institute of Education, Science and Technology, IFMA/DEE, Monte Castelo, 04, 65025-000 São Luís-MA, Brazil
Venue:
Engineering Applications of Artificial Intelligence
Year:
2011

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Abstract

Fuzzy frequency response: proposal and application for uncertain dynamic systems is proposed in this paper. The uncertain dynamic system is partitioned into several linear sub-models, in terms of transfer function, and organized into Takagi-Sugeno (TS) fuzzy structure. The main contribution of this approach is demonstrated, from a Theorem, that the fuzzy frequency response is a bound in the magnitude and phase Bode plots. The analysis, from the fuzzy dynamic model, at low and high frequencies, is obtained varying the frequency @w from zero to infinity.