Robust stability of extended delayed-feedback control in one-dimensional chaotic systems

This paper investigates robust stability of the extended delayed-feedback control method [Phys. Rev. E 50 (1994) 3245] from the viewpoint of control theory. The feedback-gain range where control can be achieved for this method is wider than that of the original delayed-feedback control method. We provide a procedure to design the extended delayed-feedback controller with a minimum amount of a priori knowledge for chaotic systems including a parameter uncertainty. Some numerical experiments are given to check the results. (C) 1997 Elsevier Science B.V.