Observer-based delayed-feedback control for discrete-time chaotic systems

Abstract

This Letter proposes an observer-based delayed-feedback control method that overcomes an inherent weak point of the well-known delayed-feedback control. This method employs a state observer that estimates difference between a system state and a desired unstable fixed point without using location of the point. The estimated difference is used for state feedback control. We give a systematic procedure to design the observer and the controller. To check the theoretical results, some numerical examples are presented.