Abstract
We describe a mechanical oscillator with a dry friction nonlinearity and feedback control. It is shown to exhibit both control of chaos, i.e., the stabilization of unstable periodic orbits in a strange attractor, as well as anti-control of chaos. Anti-control of chaos is the use of feedback to drive a nonlinear system into a chaotic state near a periodic motion. The addition of noise or dither onto periodic oscillations can often be useful in engineering devices. The control and anti-control method is based on “ occasionally proportional feedback” developed by Hunt as an extension of the well-known OGY theory of the control of chaos. In this work, the control is effected by changing the normal force of the dry friction element using a magnetic actuator.
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