IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, VOL. 9, NO. 1, JANUARY 2001
Phase Control Approach to Hysteresis Reductio
Juan Manuel Cruz-Hernández, Member, IEEE, and Vincent Hayward, Member, IEEE,
Abstract—This paper describes a method for the design of com-pensators able to reduce hysteresis in transducers, as well as two measures to quantify and compare controller performance. Rate independent hysteresis, as represented by the Preisach model ofhysteresis, is seen as an input–output phase lag. The compensation is based on controllers derived from the “phaser,” a unitary gain operator that shifts a periodic signal by a single phase angle. A“variable phaser” is shown to be able to handle minor hysteresis loops. Practical implementations of these controllers are given and discussed. Experimental results exemplify the use of these tech- niques.
Index Terms—Compensation；hysteresis；intelligent materials,；phase control,； piezoelectric transducers； smart materials；trans- ducers.
