Control of discrete-time chaotic systems using one-step-ahead adaptive fuzzy controller

This paper discusses chaos control in discrete-time nonlinear systems using one-step-ahead adaptive fuzzy controller. The chaotic system in a general form is modeled by a Mamdani type fuzzy system with parameters tuned on-line using system input-output data by the least square algorithm with deadzone. Based on this fuzzy model, a one-step-ahead controller is designed to minimize the error between the desired and the real system outputs. Performance analysis and simulation results in control of the Sin and Lozi systems are given to show the effectiveness of the scheme.