Fuzzy Frequency Response for Complex Dynamic Systems

Fuzzy Frequency Response: Definition and Analysis for Complex Dynamic Systems is proposed in this paper. In terms of transfer function, the complex dynamic system is partitioned into several linear sub-models and it is organized into Takagi-Sugeno (TS) fuzzy structure. The main contribution of this approach is demonstrated, from the proposal of a Theorem, that fuzzy frequency response is a boundary in the magnitude and phase Bode plots. Low and high frequency analysis of fuzzy dynamic model is obtained by varying the frequency ω from zero to infinity.