Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-09-20
Phys. Rev. E 58, 7256-7260 (1998)
Nonlinear Sciences
Chaotic Dynamics
5 pages, 8 figures. See also chao-dyn/9810029 (Phys. Rev. E 70, 056225) and nlin.CD/0204031 (Phys. Rev. E 70, 046205)
Scientific paper
10.1103/PhysRevE.58.7256
Difference control schemes for controlling unstable fixed points become important if the exact position of the fixed point is unavailable or moving due to drifting parameters. We propose a memory difference control method for stabilization of a priori unknown unstable fixed points by introducing a memory term. If the amplitude of the control applied in the previous time step is added to the present control signal, fixed points with arbitrary Lyapunov numbers can be controlled. This method is also extended to compensate arbitrary time steps of measurement delay. We show that our method stabilizes orbits of the Chua circuit where ordinary difference control fails.
Claussen Jens Christian
Mausbach Thorsten
Piel Alexander
Schuster Heinz Georg
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