Abstract
We suggest a new hysteresis model that can describe rate and bias effects of the harmonic magnetic fields on hysteresis nonlinearities of a magnetostrictive actuator. The proposed model is constructed using the generalized rate-dependent Prandtl-Ishlinskii model that incorporates a rate-bias-dependent threshold and a memoryless functions. The results show that the proposed model can characterize the asymmetric hysteresis effects under different levels of input magnetic bias which are applied at different excitation frequencies.
Similar content being viewed by others
References
Aljanaideh O, Al Janaideh M, Rakheja S, and Su C (2013) Compensation of rate-dependent hysteresis nonlinearities in a magnetostrictive actuator using an inverse Prandtl–Ishlinskii model. Smart Mater Struct 22(2):1–9
Al Janaideh M, Krejci P (2012) PrandtlIshlinskii hysteresis models for complex time dependent hysteresis nonlinearities. Phys B Condens Matter 407(9): 1365–1367
Al Janaideh M, Su C, Rakheja S (2009) Inverse generalized asymmetric Prandtl–Ishlinskii model for compensation of hysteresis nonlinearities in smart actuators. Proceedings of the IEEE International Conference on Networking, Sensing and Control, Okayama, pp 834839
Adly A, Mayergoyz I, Bergqvist A (1991) Preisach modeling of magnetostrictive hysteresis. J Appl Phys 69(8):5777–5779
Al Janaideh M, Krejčí P (2011) An inversion formula for a Prandtl-Ishlinskii operator with time dependent thresholds. Phys B 406(8):1528–1532
Al Janaideh M, Krejci P (2013) Inverse rate-dependent Prandtl–Ishlinskii Model for feedforward compensation of hysteresis in a piezomicropositioning actuator. IEEE/ASME Trans Mechatron 18(5):1498–1507
Aljanaideh O, Rakheja S, Su C (2014) Experimental characterization and modeling of rate-dependent asymmetric hysteresis of magnetostrictive actuators. Smart Mater Struct 23(3):1–10
Cavallo A, Natale C, Pirozzi S, Visone C, Formisano A (2004) Feedback control systems for micropositioning tasks with hysteresis compensation. IEEE Trans Magnet 40(2):876–879
Davino D, Giustiniani A, Visone C (2010) Design and test of a stress-dependent compensator for Magnetostrictive actuators. IEEE Trans Magnet 46(2):646–649
Davino D, Giustiniani A, Visone C (2012) The piezo-magnetic parameters of Terfenol-D: an experimental viewpoint. Phys B Conden Matter 407:1427–1432
Davino D, Natale C, Pirozzi S, Visone C (2004) A phenomenological dynamic model of a magnetostrictive actuator. Phys B 343(1–4):112–116
Davino D, Natale C, Pirozzi S, Visone C (2005) A fast compensation algorithm for real-time control of magnetostrictive actuators. J Magnet Magnet Mater 290–291:1351–1354
Drincic B, Tan X, Bernstein D (2011) Why are some hysteresis loops shaped like a butterfly? Automatica 47(12):2658–2664
Feng Y, Rabbath C, Hong H, Al Janaideh M, Su C (2010) Robust control for shape memory alloy micro-actuators based flap positioning system. Proceedings of the American Control Conference, Baltimore, pp 4181–4186
Ge P, Jouaneh M (1996) Tracking control of a piezoceramic actuator. IEEE Trans Control Syst Technol 4(3):209–216
Jiles D, Atherton D (1986) Theory of ferromagnetic hysteresis. J Magnet Magnet Mater 61(12):48–60
Karunanidhi S, Singaperumal M (2010) Design, analysis and simulation of magnetostrictive actuator and its application to high dynamic servo valve. Sens Actuator A Phys 157:185–197
Krejci P (1986) Hysteresis and periodic solutions of semilinear and quasilinear wave equations. Math Zeitschrift 193:247–264
Krejci P, Al Janaideh M, Deasy F (2012) Inversion of hysteresis and creep operators. Phys B 407(8):1354–1356
Kuhnen K (2003) Modeling, identification and compensation of complex hysteretic nonlinearities - a modified Prandtl-Ishlinskii approach. Euro J Control 9(1):407–418
Macki J, Nistri P, Zecca P (1993) Mathematical models for hysteresis. SIAM Rev 35(1):94–123
Meng A, Zhu J, Kong M, He H (2013) Modeling of Terfenol-D biased minor hysteresis loops. IEEE Trans Magnet 49(1):553–557
Natale C, Velardi F, Visone C (2001) Identification and compensation of hysteresis models for magnetostrictive actuators. Phys B Condens Matter 306(1–4):161–165
Pons J (2005) Emerging Actuator Technologies: a micromechatronic approach. Wiley, New York
Rakotondrabe M (2013) Smart materials-based actuators at the micro/nano-scale: characterization, control and applications. Springer - Verlag, New York
Sanchez-Duran J, Oballe-Peinado O, Castellanos-Ramos J, Vidal-Verdu F (2012) Hysteresis correction of tactile sensor response with a generalized Prandtl-Ishlinskii model. Microsyst Technol 18(1):1127–1138
Sjöström M, Visone C (2006) Moving. Prandtl-Ishlinskii operatoers with compensator in a clasoed form. Phys B 372(12):97–100
Smith RC (1998) Hysteresis modeling in magnetostrictive materials via preisach operators. J Math Syst Estim Control 8(2):1–23
Smith RC (2005) Smart material systems. Springler-Verlag, Philadelphia
Stuebner M, Atulasimha J, Smith R (2009) Quantification of hysteresis and nonlinear effects on the frequency response of ferroelectric and ferromagnetic materials. Smart Mater Struct 18(10):1–16
Tan X, Baras J (2004) Modeling and control of hysteresis in magnetostrictive actuators. Automatica 40:1469–1480
Visone C, Sjöström M (2004) Exact invertible hysteresis models based on play operators. Phys B 343(1–4):148–152
Zhang J, Merced E, Sepaulveda N, Tan X (2013) Optimal compression of a generalized Prandtl–shlinskii operator in hysteresis modeling. Proceedings of ASME Dynamic Systems and Control Conference, Palo Alto, pp 1–10
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Aljanaideh, O., AL-Tahat, M.D. & Al Janaideh, M. Rate-bias-dependent hysteresis modeling of a magnetostrictive transducer. Microsyst Technol 22, 883–892 (2016). https://doi.org/10.1007/s00542-015-2566-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00542-015-2566-8