Inversion-free feedforward hysteresis control using Preisach operator.

We introduce a new type of inversion-free feedforward hysteresis control with the Preisach operator. The feedforward control has a high-gain integral loop structure with the Preisach operator in negative feedback. This allows obtaining a dynamic quantity which corresponds to the inverse hysteresis output, since the loop error tends towards zero for a sufficiently high feedback gain. By analyzing the loop sensitivity function with hysteresis, which acts as a non-constant phase lag, we show the achievable bandwidth and accuracy of the proposed control. Remarkable fact is that the control bandwidth is theoretically infinite, provided the integral feedback loop with Preisach operator can be implemented with a smooth hysteresis output. Numerical control examples with the Preisach hysteresis model in differential form are shown and discussed in detail.