CMAC-Based Supervisory Control for Chaotic Chua's Circuits

This study proposes a cerebellar model articulation controller (CMAC)-based supervisory control system to resolve the tracking control problem of chaotic chua's circuits. This CMAC-based supervisory control (CMBSC) system is composed of a CMAC and an H
∞
supervisor. The CMAC is a main tracking controller that is investigated to mimic an ideal control law and the H
∞
supervisor is a supervisory controller that is developed to attenuate the effect of the approximation error between the CMAC and the ideal control law to a prescribed level. Moreover, the gradient descent method, Lyapunov stability theory and H
∞
control technique are utilized to derive the on-line parameters tuning algorithm so that the system stability and the robust tracking performance can be achieved. Finally, the proposed CMBSC system is applied to control a chaotic Chua's circuit. Simulation results show that the proposed control scheme is feasible and effective for the nonlinear chaotic systems.