A new periodic controller for discrete time chaotic systems
Date
2010
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Source Title
Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010
Print ISSN
1474-6670
Electronic ISSN
Publisher
IFAC
Volume
43
Issue
14
Pages
191 - 196
Language
English
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Abstract
In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. For simplicity we consider only one dimensional case. We propose a novel periodic feedback controller law and present some stability results. This scheme may be considered as a novel generalization of the classical delayed feedback scheme, which is also known as Pyragas scheme. The stability results show that all hyperbolic periodic orbits can be stabilized with the proposed method. The stability proofs also give the possible feedback gains which achieve stabilization. We will also present some simulation results.