Abstract

Many systems with hysteresis are adequately represented by the Preisach model. Hysteresis in these systems can be very effectively reduced using the “phaser”, an ideal frequency domain operator, in a feedback connection. The position stability of this type of control has not yet been established in spite of the experimental evidence that the resulting systems are stable. This paper shows the dissipativity for the relay operator, for the Preisach model, and then for the lead approximation to the phaser. We then give a proof of stability for the feedback connection of this phaser approximation with systems represented by the Preisach model of hysteresis.

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