Adaptive fuzzy control for a class of discrete-time nonlinear systems

Abstract

An adaptive feedback control scheme for the tracking of a class of discrete-time nonlinear plants is presented. A fuzzy approximator is used to adaptively compensate for the plant nonlinearities. The fuzzy approximator's parameters including nonlinear ones, are adapted using a Lyapunov-based design. The method uses a special approximation error expression, parameter projection, and variable structure control with a sector to achieve uniform ultimate boundedness.