A nonlinear adaptive approach to controlling chaotic oscillators

A nonlinear adaptive control strategy for a class of chaotic oscillators is proposed. The class of chaotic systems include both externally and paramet rically excited systems, such as the Duffing and the Van de Pol oscillators . By assuming that the exact model of the system is not known, the controll er employs a nonlinear observer to track the states and disturbances of the nonlinear system, and constructs a state-error-like feedback law. Simulati ons are provided to illustrate the effectiveness of the controller. (C) 200 0 Elsevier Science B.V. All rights reserved.