Fuzzy frequency response estimation from experimental data: Definition and application in mechanical structures of aircraft and aerospace vehicles

Fuzzy frequency response estimation from experimental data: definition and application in mechanical structures of aircraft and aerospace vehicles is proposed in this paper. A fuzzy c-Means clustering algorithm is used to organize the input and output experimental data of a free free aluminium beam into groups based on similarities among the data. Starting from the fuzzy clustering a methodology for identification of the linear sub-models, in terms of transfer function, that represent the free free aluminium beam in operation regions is developed and these linear sub-models are organized according to Takagi-Sugeno (TS) fuzzy representation. A fuzzy frequency estimation of the aluminium beam is determined through the frequency response function. The main contribution of this paper is to demonstrate through the proposal of a Theorem, that fuzzy frequency response estimation is a boundary in the magnitude and phase Bode plots. Studies on the aluminum beam are used for analysis and control of vibration in mechanical structures of aircraft and aerospace vehicles.