Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759327 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 7 Pages |
Abstract
An improvement of the recently described resonant chaos control method is suggested. Negative feedback loop containing a notch-rejection filter, tuned to the main harmonic of the unstable periodic orbit, is supplemented with a set of notch filters tuned to the higher harmonics. The extended method is applied to an electrical circuit representing the Duffing–Holmes type non-autonomous two-well chaotic oscillator. Stabilization of the period-1 orbit is achieved with very small control force. The residual control signal is about 1% compared to the main variable. Mathematical model based on a two-well piecewise parabolic potential is presented and numerical simulation is performed. Numerical results are confirmed by hardware experiments.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Arūnas Tamaševičius, Elena Tamaševičiūtė, Tatjana Pyragienė, Gytis Mykolaitis, Skaidra Bumelienė,