The research of fuzzy modeling using multiresolution analysis

A method is developed to combine multiresolution analysis with fuzzy system to build dynamic system model. The proposed method consists of two parts, the construction and application of model. To construct the model, the signals are decomposed respectively to form data pairs on different scale and, the data pairs are used to construct the model on different scale whose output will be reconstructed to approximate the original signal. When this method is put into use, a certain length of past signal and current signal are used to predict the model output and, at next time instance, the past signal is push forward. This is a repeated procedure. The simulation shows the method is effective.