Fuzzy controller synthesis algorithm with complete data on the object state

Abstract

The application of the classical control theory to nonlinear and linear objects control problems in some cases may not give effective results. Due to this, fuzzy controller synthesis methods for objects controlling have been developed based on fuzzy sets and fuzzy logic methods. A suggested method makes it possible to construct a fuzzy system without the help from human experts. The algorithm for this method consists of three steps: on step 1 the known input data ranges are determined and divided into fuzzy regions to form membership functions; on step 2 the data pairs are formed and then used to generate a fuzzy rules table; on step 3 the membership functions are scaled for specific values, so the fuzzy system works more correct. The method has shown it’s good performance in the underwater vehicle stabilization problem with complete data on the object state.