Inverse control of systems with hysteresis and creep

Inverse control of systems with hysteresis and creep

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Since the beginning of the 1990s, hysteresis operators have been employed on a larger scale for the linearisation of hysteretic transducers. One reason for this is the increasing number of mechatronic applications that use solid-state actuators based on magnetostrictive or piezo-electric material or shape memory alloys. All of these actuator types show strong hysteretic effects. In addition to hysteresis, piezo-electric actuators show strong creep effects. Thus, the objective of the paper is to enlarge the operator-based methodology of hysteresis operators by elements that allow the description of systems with hysteresis and creep. To reach this objective, following the procedure used for hysteretic systems, creep operators are introduced to form, together with the hysteresis operators, a system operator for the simultaneous consideration of both phenomena. With regard to applications in control and measurement technology, the existence, uniqueness, Lipschitz continuity and thus input–output stability of its inverse operator are theoretically supported by functional analytical methods. Subsequently, the efficiency of this new concept is demonstrated, in practice, by a real-time inverse feedforward controller for piezo-electric actuators. Using this control concept, the tracking errors caused by hysteretic and creep effects are reduced by approximately one order of magnitude.


    1. 1)
      • P. GE , M. JOUANEH . Generalized Preisach model for hysteresis nonlinearity of piezoceramic actuators. Precision Eng. , 99 - 111
    2. 2)
      • LAST, B., HEROLD-SCHMITT, U., BAIER, H.: `Active structures with hysteresis actuators: linearization techniques and correlation with test results', 7th Int. Conf. Adaptive structures technology, ICAST'96, 1996, Rome, Italy.
    3. 3)
      • J. SCHÄFER , H. JANOCHA . Compensation of hysteresis in solid state actuators. Sens. Actuators A, Phys. , 97 - 102
    4. 4)
      • M. GOLDFARB , N. CELANOVIC . Modeling piezoelectric stack actuators for control of micromanipulation. IEEE Control Syst. , 69 - 79
    5. 5)
      • DIMMLER, M., HOLMBERG, U., LONGCHAMP, R.: `Hysteresis compensation of piezo actuators', European Control conference, ECC'99, 1999, Karlsruhe, Germany.
    6. 6)
      • KUHNEN, K., JANOCHA, H.: `Adaptive inverse control of piezoelectric actuators with hysteresis operators', European Control conference, ECC'99, 1999, Karlsruhe, Germany.
    7. 7)
      • I. Mayergoyz . (1991) Mathematical models of hysteresis.
    8. 8)
      • G. BERTOTTI . Dynamic generalization of the scalar Preisach model of hysteresis. IEEE Trans. Magn. , 5 , 2599 - 2601
    9. 9)
      • H. KORTENDIECK . (1993) Entwicklung und Erprobung von Modellen zur Kriech- und Hysteresiskorrektur.
    10. 10)
      • H. JANOCHA , K. KUHNEN . Ein neues Hysterese- und Kriechmodell für piezoelektrische Wandler. at-Automatisierungstechnik , 493 - 500
    11. 11)
      • M. Brokate , J. Sprekels . (1996) Hysteresis and phase transitions.
    12. 12)
      • M.A. Krasnosel'skii , A.V. Pokrovskii . (1991) Systems with hysteresis.
    13. 13)
      • P. KREJCI . Hysteresis, convexity and dissipation in hyperbolic equations. Gakuto Int. Series Math. Sci. & Appl.
    14. 14)
      • A. BERGQVIST . (1994) On magnetic hysteresis modeling, Electric Power Engineering.
    15. 15)
      • KUHNEN, K., JANOCHA, H.: `Compensation of creep and hysteresis effects of piezoelectric actuators with inverse systems', 6th Int. conf. on New actuators, Actuator'98, 1998, Bremen , p. 309–312Germany, .

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