Controlling chaotic and hyperchaotic systems via a simple adaptive feedback controller

This paper investigates the problem of chaos control, and proposes a simple adaptive feedback control method for it under a reasonable assumption. In comparison with previous methods, the present control technique is simple both in the form of the controller and in its application. A numerical example using the Genesio chaotic system verifies the effectiveness and correctness of the proposed approach.

[1]  Her-Terng Yau,et al.  Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control , 2007 .

[2]  J. A. Laoye,et al.  Controlling chaos and deterministic directed transport in inertia ratchets using backstepping control , 2007 .

[3]  Jitao Sun,et al.  Impulsive control and synchronization of general chaotic system , 2006 .

[4]  S. Boccaletti,et al.  The control of chaos: theory and applications , 2000 .

[5]  Guo Rong-Wei,et al.  Control of a Unified Chaotic System via Single Variable Feedback , 2009 .

[6]  Rongwei Guo A simple adaptive controller for chaos and hyperchaos synchronization , 2008 .

[7]  Alberto Tesi,et al.  Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems , 1992, Autom..

[8]  Corron,et al.  Controlling chaos with simple limiters , 2000, Physical review letters.

[9]  Rongwei Guo,et al.  Modification for collection of master–slave synchronized chaotic systems , 2009 .

[10]  Grebogi,et al.  Controlling chaos in high dimensional systems. , 1992, Physical review letters.

[11]  Kestutis Pyragas Continuous control of chaos by self-controlling feedback , 1992 .

[12]  Wei Lin,et al.  Adaptive chaos control and synchronization in only locally Lipschitz systems , 2008 .

[13]  Debin Huang,et al.  Stabilizing near-nonhyperbolic chaotic systems with applications. , 2004, Physical review letters.

[14]  F. Dou,et al.  Controlling hyperchaos in the new hyperchaotic system , 2009 .

[15]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .