Abstract
This paper is focused on hysteresis modeling in actuator with magnetic shape memory alloy, briefly MSMA. MSMAs are new group of active materials which change shape in external magnetic field. Active element is made of Ni2MnGa, and it is very suitable to use in actuators for positioning, because this alloy combines great strains (up to 6%) and good dynamic properties. On the other side, it is distinguished by nonlinear behavior. In this case, it is wide saturated asymmetric hysteresis. Reason for that is a kind of internal friction called twining stress. Such drawback does not allow to precise position control in open-loop control system. Described in this paper method for hysteresis modeling is based on mathematical formulation, which utilizes so-called phenomenological models. Hysteresis modeling is provided by generalized Prandtl-Ishlinskii model (GPIM) where hyperbolic tangents were used as envelop functions in play operator. This paper describes modeling accuracy for different GPIM structures. Actuator is designed for high-strain applications up to 1 mm. Data acquisition was provided by dSPACE system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Janocha, H.: Adaptronics and Smart Structures. Springer, Berlin (2007)
Ullakko, K., Huang, J.K., Kantner, C., O’Handley, R.C., Kokorin, V.V.: Large magnetic-field-induced strains in Ni2MnGa single crystals. Appl. Phys. Lett. 69(13), 1966–1968 (1996)
Gabdullin N.A., Khan S.H.: Application of change in permeability of magnetic shape memory (MSM) alloys for optimization of magnetic circuit in actuators. In: Computation in Electromagnetics (CEM 2014), 9th IET International Conference on, IET, pp. 1–2. (2014)
Schiepp, T., Maier, M., Pagounis, E., Schluter, A., Laufenberg, M.: FEM-simulation of magnetic shape memory actuators. IEEE Trans. Magn. 50(2), 989–992 (2014)
Jokinen T., Ullakko K., Suorsa I.: Magnetic Shape Memory materials-new possibilities to create force and movement by magnetic fields. In: Proceedings of the Fifth International Conference on Electrical Machines and Systems, ICEMS, vol. 1, pp. 20–23 (2001)
Kuhnen, K.: Modeling, identification and compensation of complex hysteretic nonlinearities: A modified Prandtl-Ishlinskii approach. Eur. J. Control 9, 407–418 (2003)
Brokate, M., Sprekels, J.: Hysteresis and Phase Transitions. Springer, New York (1996)
Al, Janaideh M., Rakheja, S., Su, C.Y.: A generalized Prandtl-Ishlinskii model for characterizing the hysteresis and saturation nonlinearities of smart actuators. Smart Mater. Struct. 18(4), 045001 (2009)
Al Janaideh, M., Rakheja, S., Su, C.-Y.: An analytical generalized Prandtl-Ishlinskii model inversion for hysteresis compensation in micropositioning control. IEEE ASME Trans. Mech. 16(4), 734–744 (2011)
Al, Janaideh M., Rakheja, S., Su, C.Y.: Experimental characterization and modeling of rate-dependent hysteresis of a piezoceramic actuator. Mechatronics 19(5), 656–670 (2009)
Sayyaadi, H., Zakerzadeh, M.R.: Position control of shape memory alloy actuator based on the generalized Prandtl-Ishlinskii inverse model. Mechatronics 22(7), 945–957 (2012)
Minorowicz, B., Nowak, A., Stefanski, F.: Hysteresis modelling in electromechanical transducer with magnetic shape memory alloy. Przegląd Elektrotechniczny 11, 244–247 (2014)
Matsunaga, K., Niguchi, N., Hirata, K.: Study on starting performance of Ni-Mn-Ga magnetic shape memory alloy linear actuator. IEEE Trans. Magn. 49(5), 2225–2228 (2013)
Riccardi L., Naso D., Turchiano B., Janocha H.: Adaptive approximation-based control of hysteretic unconventional actuators. In: Decision and Control and European Control Conference (CDC-ECC), IEEE, pp. 958–963 (2011)
Riccardi L., Naso D., Turchiano B., Janocha H., Adaptive modified Prandtl-Ishlinskii model for compensation of hysteretic nonlinearities in magnetic shape memory actuators, In: 37th Annual Conference on IEEE Industrial Electronics Society, pp. 56–61 (2011)
Riccardi, L., Ciaccia, G., Naso, D., Janocha, H., Turchiano, B.: Position control for a magnetic shape memory actuator. IFAC Proc. Vol. 43(18), 478–485 (2010)
Riccardi, L., Naso, D., Janocha, H., Turchiano, B.: A precise positioning actuator based on feedback-controlled magnetic shape memory alloys. Mechatronics 22(5), 568–576 (2012)
Acknowledgements
The presented research results, executed under the subject of 02/22/DSPB/1389, were funded with grants for education allocated by the Ministry of Science and Higher Education in Poland.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Minorowicz, B., Pittner, G., Stefanski, F. (2018). Accuracy of Hysteresis Modeling in Smart Actuator with MSMA. In: Hamrol, A., Ciszak, O., Legutko, S., Jurczyk, M. (eds) Advances in Manufacturing. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-68619-6_72
Download citation
DOI: https://doi.org/10.1007/978-3-319-68619-6_72
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68618-9
Online ISBN: 978-3-319-68619-6
eBook Packages: EngineeringEngineering (R0)