A nonlinear control scheme for discrete time chaotic systems
Date
2012-06
Authors
Advisor
Instructor
Source Title
Proceedings of the 2012 IFAC Conference on Analysis and Control of Chaotic Systems
Print ISSN
1474-6670
Electronic ISSN
Publisher
The International Federation of Automatic Control
Volume
45
Issue
12
Pages
249 - 254
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract
In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We consider both one dimensional and higher dimensional cases. We propose a nonlinear feedback law and present some stability results. These results show that for period 1 all hyperbolic periodic orbits can be stabilized with the proposed method. By restricting the gain matrix to a special form we obtain some novel stability results. The stability proofs also give the possible feedback gains which achieve stabilization. We also present some simulation results.
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Keywords
Chaotic systems, Delayed feedback system, Pyragas controller, Stability, Chaos control, Discrete-time chaotic systems, Higher-dimensional, Stabilization problems, Unstable periodic orbits, Convergence of numerical methods, Stabilization