Preisach-model

Stancu A, Spinu L (1998) Temperature- and time-dependent Preisach model for a Stoner-Wohlfarth particle system. IEEE Trans Magnetics 34 3867-3875 Stein DL (1992) Spin glasses and biology. World Scientific, Singapore... 

Hwang HW, Kim CJ, Kim SJ, Yang H, Park NC, Park YP (2008) Preisach modeling of dielectric elastomer EAP actuator. Proc SPIE 6927 692726... 

The model of the shape memory effect is based on thermodynamic laws of phase transitions in solids. Due to inner friction and losses of the phase transformation, the simulation of the hysteresis by means of the Preisach-model [83] must be modified and linked with the thermodynamic equations. 

Spinu L, Stancu A (1998) Modelling magnetic relaxation phenomena in fine particles systems with a Preisach-Neel model. J Magnet Magnetic Mater 189 106-114 Srivastava KKP, Jones DH (1988) Toward a microscope description of superparamagnetism. Hyperfine Interactions 42 1047-1050... 

Enachescu C, Machado HC, Menendez N, Codjovi E, Linares J, Varret F, Stancu A. Static and light induced hysteresis in spin-crossover compounds experimental data and application of Preisach-type models. Physica B. 2001 306 155-160. DOI 10.1016/ S0921-4526(01)00996-6. 

The best-known examples of these so-called complex hysteretic non-linearities are the Preisach- or Krasnosel skii-Pokrovskii operator R, the Prandtl-Ishlinskii operator H and the modified Prandtl-Ishhnskii operator M = S H) which is constructed as a concatenation of a Prandtl-Ishlinskii operator H and an asymmetrical scalar function S of Prandtl-Ishlinskii type which models the deviation of the real hysteretic nonhnearity from the class of Prandtl-Ishlinskii operators [332,353,355], All these operators belong to the class of operators with a Preisach memory P [341]. 

If the mappings T in the sensor equation (6.75) and the actuator equation (6.76) are purely hysteretic they can be modeled by a Prandtl-Ishhnskii operator H, a modified Prandtl-Ishlinskii operator M or a Preisach hysteresis operator R depending on the degree of symmetry of the branching behaviour. The calculation of these hysteresis operators and the corresponding compensators from the measured output-input characteristic requires special computer-aided synthesis procedures which is based on system identification methods. Due to a lack of space, this article cannot further comment on these synthesis methods. However, a detailed description of both the synthesis method and the mathematical basics can be found in the literature [332,341,350-352,356]. 

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