Poincar\'{e}-based control of delayed measured systems: Limitations and Improved Control

When a chaotic system is to be stabilized to a unstable orbit, delayed measurement of the system limits the applicability of chaos control techniqes. These limitations are analyzed and control schemes as linear predictive logging control (LPLC) and memory difference control (MDC) are introduced which can overcome those limitations for chaos control schemes that act in the Poincar\'{e} section as Ott-Grebogi-Yorke (OGY) control and Bielawski-Derozier_Glorieux control (difference control).