Indirect adaptive fuzzy control of discrete-time nonlinear systems

In this paper, an indirect adaptive controller based on fuzzy logic systems is shown to provide the tracking of a reference signal for a class of discrete-time nonlinear systems. The fuzzy logic system is used as the system model of the plant dynamics that are unknown, and the adaptive controller is then constructed based on the model. Assuming the modelling error is bounded, it is proved that the resulting closed-loop control system is globally stable in the sense that both the input and output signals are uniformly bounded, and the tracking error is within a limited band. Simulation examples are given.