Adaptive control of a class of nonlinear systems with nonlinearly parameterized fuzzy approximators

Recently, through the use of parameterized fuzzy approximators, various ada ptive fuzzy control schemes have been developed to deal with nonlinear syst ems whose dynamics are poorly understood. An important class of parameteriz ed fuzzy approximators is constructed using radial basis function (RBF) as a membership function. However, some tuneable parameters in RBF appear nonl inearly and the determination of the adaptive law for such parameters is a nontrivial task. In this paper, we propose a new adaptive control method in an effort to tune all the RBFs parameters thereby reducing the approximati on error and improving control performance. Global boundedness of the overa ll adaptive system and tracking to within a desired precision are establish ed with the new adaptive controller Simulations performed on a simple nonli near system illustrate the approach.