A new periodic controller for discrete time chaotic systems
IFAC Proceedings Volumes (IFAC-PapersOnline)
World Scientific Publishing Co. Pte. Ltd.
191 - 196
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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. © 2010 IFAC.
Delayed feedback system
Unstable periodic orbits
Discrete time control systems
Nonlinear control systems
Published Version (Please cite this version)https://doi.org/10.3182/20100901-3-IT-2016.00153
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