Damping control law for a chaotic impact oscillator

We apply a feedback control technique to suppress chaotic behavior in dissipative mechanical systems by using a small-amplitude damping signal. The control signal is obtained by varying the damping coefficient according to the velocity direction. As an application of this method, we present numerical simulations of an impact oscillator and the required damping law used to achieve the control. Our numerical results show the method effectiveness even for high levels of noisy perturbation.