Fuzzy frequency response: Proposal and application for uncertain dynamic systems

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 ω from zero to infinity.