Universal Approximation for Takagi-Sugeno Fuzzy Systems Combining Statically and Dynamically Constructive Methods-MISO Cases

Abstract

In this paper, a combined method is proposed for providing a new sufficient condition for linear T-S fuzzy systems as an universal approximator in MISO case. Such work extends existing methods in SISO case and is superior to the existing results in MISO case by combining the statically and dynamically constructive methods. After comparing with some other typical methods, detailed theoretical reasoning and numerical example both confirm that the method in this paper will reduce the fuzzy rules number dramatically. At last, some conclusions and discussion on further work are also given.