Reducing the high dimensionality problem in fuzzy dynamic models

An incremental type of fuzzy dynamic model suitable for one-step-ahead prediction of non-linear dynamic processes is presented and analysed. It is realized by a two-dimensional fuzzy inference procedure with inputs being the change-of-input and change-of-output of the process. Another second-level fuzzy tuning block is used to recursively update the scaling factors (borders of the membership functions) of the first inference procedure. Thus the proposed method is able to predict high-order non-linear or time varying processes by means of only 2 two-dimensional fuzzy inference procedures.