Non‐Rule Based Fuzzy Approach for Adaptive Control Design of Nonlinear Systems

Abstract

A novel adaptive control approach is presented using extended fuzzy logic systems without any rules. First, the extended fuzzy logic systems without any rules are used to approximate the uncertainties. Then the sliding mode controllers via the proposed extended fuzzy logic systems without any rules are proposed for uniformly ultimately bounded (UUB) nonlinear systems. The adaptive laws are used for estimating the approximation accuracies of fuzzy logic systems without any rules, Lipschitz constants of uncertain functions and scalar factor, respectively, which are not directly to estimate the coefficients of basis functions. Finally, a compared simulation example is utilized to demonstrate the effectiveness of the approach proposed in this paper.