Abstract
Some experimental results of controlling chaos on a magneto-elastic beam system, which is described by the Duffing equation, are discussed. We adopt a delayed feedback control method proposed by Pyragas to stabilize an unstable periodic attractor embedded in a chaotic attractor. This is a negative feedback control using the gained error between the output of the chaotic system and the periodically delayed one. It is shown that unstable periodic motion in magneto-elastic chaos can be stabilized experimentally. The effectiveness of the control method is confirmed for two types of the Duffing system. Numerical considerations for the typical Duffing equation are also given.
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