Further results on adaptive control of a class of nonlinear systems with fuzzy logic

In a recent work of Su et al. (1994), a robust adaptive fuzzy controller was proposed for a class of nonlinear systems in the presence of dominant uncertain nonlinearities. However, in the scheme only the parameters (weights), which appear linearly in the radial basis function expansion, were tuned. To further improve the tracking performance of the control systems, a novel adaptive fuzzy controller is proposed in this paper. This new controller not only can tune the weighting parameters, but also can tune the parameters, which appear nonlinearly. Hence, the approximation capability to capture the fast changing system dynamics is enhanced and the range of the applicability of the method presented by Su et al. can be broadened. The method is confirmed through computer simulation.