A strategy to control chaos in nonlinear driven oscillators with least prior knowledge

A strategy to control a class of nonlinear driven oscillators is studied. The class of oscillators includes externally and parametrically excited oscillators, such as the Duffing oscillator and the externally excited pendulum. By assuming that the exact model of the system is not known and that position is the only state available for feedback, the controller comprises a Linearizing-like feedback (i.e., the controller induces an input-output linear behavior in the nonlinear driven oscillator) and an uncertainty estimator. Simulations are provided to illustrate the performance of the controller.