Saturated perturbation in Pyragas method through nonlinear feedback control

VERÓNICA E. PASTOR; GRACIELA A. GONZÁLEZ

Snowbird, Salt Lake City

Congreso; SIAM Conference on Applications of Dynamical Systems; 2013

Society Industrial and Applied Mathematics (SIAM)

Using time-continuous control for controlling chaos was stated by Pyragas. He introduced the proportional and delayed feedback control methods. He modified them by a saturated perturbation based on a piecewise linear control law to avoid large perturbations and multistability. We propose an alternative nonlinear bounded element into the feedback law. Local convergence is shown while the desired saturation of the perturbation is assured. Different aspects of our proposal are analyzed and confronted with Pyragas methods.