Effective chaotic orbit tracker: a prediction-based digital redesign approach

Abstract

It has been widely experienced that tracking (targeting) a periodic orbit embedded within a chaotic attractor often encounters an essential issue of numerical sensitivity. In this paper, we develop an effective digital tracker for continuous-time chaotic orbit tracking, which is insensitive to numerical errors. The design is based on some advanced digital redesign techniques equipped with a predictive feature. The new digital tracker allows for a relatively large sampling time, which can be important in some applications such as in chaotic biological systems. A new chaotic attractor is used as an example for illustration and demonstration.