A Design of Discrete-Time Adaptive Fuzzy Control System

Abstract

Recently various adaptive fuzzy control schemes have been proposed to deal with nonlinear systems with poorly understood dynamics by using the parameterized fuzzy approximator. However, all of the adaptive fuzzy control systems have been designed for a continue-time system, but actually it is realized by discrete-time control system where computers are the manipulators. So there has existed a gap between the design and realized control system. The goal of this paper is to design a discrete-time adaptive fuzzy control system. The adaptive laws to adjust parameters in the system will be developed based on Lyapunov synthesis approach. It is shown the proposed fuzzy adaptive controller guarantees tracking error, between outputs of considered system and desired values, to be asymptotically in decay.