Subharmonic control of chaos with application to a CO2 laser

This paper proposes a control design method for stabilizing a chaotic signal of a non-linear system to a periodic signal. The underlying idea of the method is the cancellation via feedback control of the subharmonic components of the considered signal. The resulting feedback control scheme possesses a high degree of robustness against system uncertainty and requires a very low control effort. A detailed application to a CO2 laser with modulated losses is developed to illustrate the proposed control design technique.