Control of hysteresis: Theory and experimental results

X. Tan, R. Venkataraman, P. S. Krishnaprasad

Research output: Contribution to journalConference articlepeer-review

103 Scopus citations


Hysteresis in smart materials hinders the wider applicability of such materials in actuators. In this paper, a systematic approach for coping with hysteresis is presented. The method is illustrated through the example of controlling a commercially available magnetostrictive actuator. We utilize the low-dimensional model for the magnetostrictive actuator that was developed in earlier work. For low frequency inputs, the model approximates to a rate-independent hysteresis operator, with current as its input and magnetization as its output. Magnetostrictive strain is proportional to the square of the magnetization. In this paper, we use a classical Preisach operator for the rate-independent hysteresis operator. In this paper, we present the results of experiments conducted on a commercial magnetostrictive actuator, the purpose of which was the control of the displacement/strain output. A constrained least-squares algorithm is employed to identify a discrete approximation to the Preisach measure. We then discuss a nonlinear inversion algorithm for the resulting Preisach operator, based on the theory of strictly-increasing operators. This algorithm yields a control input signal to produce a desired magnetostrictive response. The effectiveness of the inversion scheme is demonstrated via an open-loop trajectory tracking experiment.

Original languageEnglish
Pages (from-to)101-112
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2001
EventSmart Structures and Materials 2001-Modeling, Signal Processing, and Control in Smart Structures- - Newport Beach, CA, United States
Duration: Mar 5 2001Mar 8 2001


  • Control
  • Hysteresis
  • Identification
  • Inversion
  • Magnetostriction
  • Preisach
  • Smart actuator


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