Control and Synchronization of Chaotic Systems Using Fuzzy Feedback Linearization

Control problem of chaotic systems is investigated based on the fuzzy feedback linearization (FFL). The Control system operates in two stages: at the first stage, no control is applied to the plant and just the model of the plant is estimated by a fuzzy model. After identification phase, at the second stage, a feedback linearization control using the estimated fuzzy model is applied to the chaotic plant. The proposed method is used for regulation, tracking and synchronization problems of chaotic systems. The closed loop system stability is proved. Simulation results on different chaotic systems demonstrate that the proposed method is effective not only for regulation but also for tracking problem and synchronization.