Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances

In this paper, an adaptive controller design method based on hyperstability theory is proposed for a class of unified chaotic systems with so-called sector-bounded inputs and disturbances. Under the norm-bounded assumption of disturbances, for the controlled system, system states can be regulated to zero levels asymptotically in the presence of this class of disturbances. To show the validity and feasibility of the proposed adaptive controller, some simulations on controlling different chaotic systems with disturbances, are made and investigated.