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

Author

Guo, Shu-Mei ; Shieh, Leang San ; Chen, Guanrong ; Lin, Ching-Fang

Author_Institution

Dept. of Electr. & Comput. Eng., Houston Univ., TX, USA

Volume

47

Issue

11

fYear

2000

fDate

11/1/2000 12:00:00 AM

Firstpage

1557

Lastpage

1570

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

Keywords

chaos; continuous time systems; control system synthesis; digital control; linearisation techniques; predictive control; tracking; chaotic attractor; chaotic orbit tracker; continuous-time system design; controller design procedure; hybrid control system; numerical errors; numerical sensitivity; prediction-based digital redesign approach; Bifurcation; Biological systems; Chaos; Control systems; Digital control; Nonlinear control systems; Nonlinear systems; Sampling methods; State-space methods; Target tracking;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.895324

Filename

895324