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Journal articles on the topic 'Hysteresis modelling'

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Author: Grafiati

Published: 14 March 2023

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1

Ktena, A., D. I. Fotiadis, and C. V. Massalas. "Hysteresis Modelling in Ferromagnetic Composites." Advanced Composites Letters 13, no. 1 (January 2004): 096369350401300. http://dx.doi.org/10.1177/096369350401300109.

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The class of models presented here, targeting the modelling of hysteresis processes in the magnetic and elastic properties of ferromagnetic composites, is based on the Preisach formalism. The 1D and 2D formulations are equipped with a set of five different local hysteresis operators, to address different hysteretic responses. The resulting algorithms are efficient enough to be used as core models in simulations or real-time control. The types of hysteretic responses discussed and modeled include the magnetization vs. magnetic field response, M(H), the deformation vs. temperature response, x(T), and the deformation vs. field response, λ(H), also known as magnetostriction.

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2

Pescetti, D. "HYSTERESIS MODELLING." Le Journal de Physique Colloques 49, no. C8 (December 1988): C8–1923—C8–1924. http://dx.doi.org/10.1051/jphyscol:19888869.

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3

Yu, Y., Z. Xiao, N. G. Naganathan, and R. V. Dukkipati. "Dynamic Preisach modelling of hysteresis for the piezoceramic actuator system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 215, no. 5 (May 1, 2001): 511–21. http://dx.doi.org/10.1243/0954406011520913.

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A rate-dependent hysteresis property is a common phenomenon in various hysteretic systems including the piezoceramic material system. The dynamic Preisach model is needed to describe the rate-dependent hysteresis. This paper proposes a new dynamic Preisach model by introducing the dependence of the Preisach function on the input variation rate. An input variation rate function was introduced to adjust the relationship of hysteresis loop to the input variation rate for different hysteresis systems. A detailed numerical implementation procedure is also presented. Experiments were conducted to study the hysteresis behaviour of the piezoceramic actuator system and to verify the proposed model.

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4

Zirka, S. E., Y. I. Moroz, P. Marketos, and A. J. Moses. "Dynamic hysteresis modelling." Physica B: Condensed Matter 343, no. 1-4 (January 2004): 90–95. http://dx.doi.org/10.1016/j.physb.2003.08.036.

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5

Danilin, A. N., and A. D. Shalashilin. "Hysteresis Modelling of Mechanical Systems at Nonstationary Vibrations." Mathematical Problems in Engineering 2018 (2018): 1–15. http://dx.doi.org/10.1155/2018/7102796.

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This paper considers and reviews a number of known phenomenological models, used to describe hysteretic effects of various natures. Such models consider hysteresis system as a “black box” with experimentally known input and output, related via formal mathematical dependence to parameters obtained from the best fit to experimental data. In particular, we focus on the broadly used Bouc-Wen and similar phenomenological models. The current paper shows the conditions which the Bouc-Wen model must meet. An alternative mathematical model is suggested where the force and kinematic parameters are related by a first-order differential equation. In contrast to the Bouc-Wen model, the right hand side is a polynomial with two variables representing hysteresis trajectories in the process diagram. This approach ensures correct asymptotic approximation of the solution to the enclosing hysteresis cycle curves. The coefficients in the right side are also determined experimentally from the hysteresis cycle data during stable oscillations. The proposed approach allows us to describe hysteretic trajectory with an arbitrary starting point within the enclosed cycle using only one differential equation. The model is applied to the description of forced vibrations of a low-frequency pendulum damper.

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6

Wang, En Rong, Xiao Qing Ma, S. Rakhela, and C. Y. Su. "Modelling the hysteretic characteristics of a magnetorheological fluid damper." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 217, no. 7 (July 1, 2003): 537–50. http://dx.doi.org/10.1243/095440703322114924.

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A generalized model is proposed to characterize the biviscous hysteretic force characteristics of a magnetorheological (MR) fluid damper using symmetric and asymmetric sigmoid functions on the basis of a fundamental force generation mechanism, observed qualitative trends and measured data under a wide range of control and excitation conditions. Extensive laboratory measurements were performed to characterize the hysteretic force properties of an MR damper under a wide range of magnitudes of control current and excitation conditions (frequency and stroke). The global model is realized upon formulation and integration of component functions describing the preyield hysteresis, saturated hysteresis loop, linear rise and current-induced rise. The validity of the proposed model is demonstrated by comparing the simulation results with measured data in terms of hysteretic forcedisplacement and force-velocity characteristics under a wide range of test conditions. The results revealed reasonably good agreement between the measured data and model results, irrespective of the test conditions considered. The results of the study suggest that the proposed model could be effectively applied for characterizing the damper hysteresis and for development of an optimal controller for implementation in vehicular suspension applications.

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7

Pescetti, D. "Mathematical modelling of hysteresis." Il Nuovo Cimento D 11, no. 8 (August 1989): 1191–216. http://dx.doi.org/10.1007/bf02459024.

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8

Bagagiolo, Fabio, and Marta Zoppello. "Hysteresis and controllability of affine driftless systems: some case studies." Mathematical Modelling of Natural Phenomena 15 (2020): 55. http://dx.doi.org/10.1051/mmnp/2020023.

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We investigate the controllability of some kinds of driftless affine systems where hysteresis effects are taken into account, both in the realization of the control and in the state evolution. In particular we consider two cases: the one when hysteresis is represented by the so-called play operator, and the one when it is represented by a so-called delayed relay. In the first case we prove that, under some hypotheses, whenever the corresponding non-hysteretic system is controllable, then we can also, at least approximately, control the hysteretic one. This is obtained by some suitably constructed approximations for the inputs in the hysteresis operator. In the second case we prove controllability for a generic hysteretic delayed switching system. Finally, we investigate some possible connections between the two cases.

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9

Rafraf, Samia, Lamia Guellouz, Houda Guiras, and Rachida Bouhlila. "Quantification of hysteresis effects on a soil subjected to drying and wetting cycles." International Agrophysics 30, no. 4 (October 1, 2016): 493–99. http://dx.doi.org/10.1515/intag-2016-0020.

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Abstract A quantitative description of soil hysteretic response during drying-wetting cycles is required to improve prediction of the soil water retention model. The objective of the study is to quantify the degree of hysteresis, which is helpful to evaluate the precision of soil water flow calculation. A new procedure to quantify the degree of hysteresis is presented. The Arya-Paris model allows assessment of hysteresis effects from initial drying curves, dynamic contact angles, degree of hysteresis value, and maximum difference value between drying and subsequent wetting curves. The experimental results show that the degree of hysteresis varies with the particle size, bulk density, void ratio, initial water content, and contact angle of the soil. The new findings can be very useful in modelling soil water flows.

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10

Bashir, Rashid, Jitendra Sharma, and Halina Stefaniak. "Effect of hysteresis of soil-water characteristic curves on infiltration under different climatic conditions." Canadian Geotechnical Journal 53, no. 2 (February 2016): 273–84. http://dx.doi.org/10.1139/cgj-2015-0004.

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This paper presents results of a numerical modelling exercise that investigates the effects of hysteresis of the soil-water characteristic curve (SWCC) on the infiltration characteristics of soils subjected to four different climatic conditions — from very dry to wet — within the Canadian province of Alberta. Multi-year climate datasets from four different natural regions and subregions of Alberta are compiled, classified, and applied as the soil–atmosphere boundary condition in one-dimensional finite element unsaturated flow models using Hydrus-1D software. Multi-year simulations are carried out with and without consideration of the SWCC hysteresis. Simulation results are analyzed in terms of water balance at the ground surface and temporal distribution and storage of water within the soil domain. It is demonstrated that hysteresis of the SWCC can significantly affect the prediction of flow, redistribution, and storage of water in the unsaturated zone. It is found that for soils that exhibit hysteretic SWCC, consideration of hysteresis in unsaturated flow modelling results in the prediction of lower infiltration and less movement of water through the soil. It is also found that the use of wetting parameters results in the prediction of increased infiltration and movement of water compared with the predictions using drying or hysteretic parameters. It is concluded that, for soils that exhibit a greater degree of SWCC hysteresis, it is important to measure both the drying and wetting branches of the SWCC accurately and that accurate simulation of hysteretic behaviour requires climate datasets at appropriate resolution. The results presented in this paper highlight the importance of considering SWCC hysteresis for a wide range of geotechnical problems, such as soil cover design, prediction of groundwater recharge, contaminant transport through unsaturated soils, soil erosion, slope stability, and swelling–shrinkage of expansive soils.

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11

ITOH, MAKOTO, and LEON O. CHUA. "NONLINEAR OSCILLATORS WITH HYSTERETIC CHUA'S DIODES." International Journal of Bifurcation and Chaos 15, no. 05 (May 2005): 1709–35. http://dx.doi.org/10.1142/s0218127405012983.

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Chua's diode is widely used in nonlinear circuit analysis and modeling. In this paper, we propose canonical oscillator models having hysteretic Chua's diodes as their nonlinear elements. Many hysteresis oscillators can be classified into unified groups by using these models. We also present a method for deriving new hysteresis oscillators from known slow–fast (relaxation) oscillators.

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12

Chang, Chia-Ming, Salvatore Strano, and Mario Terzo. "Modelling of Hysteresis in Vibration Control Systems by means of the Bouc-Wen Model." Shock and Vibration 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/3424191.

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The review presents developments concerning the modelling of vibration control systems with hysteresis. In particular, the review focuses on applications of the Bouc-Wen model that describes accurate hysteretic behaviour in vibration control devices. The review consists of theoretical aspects of the Bouc-Wen model, identification procedures, and applications in vibration control.

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13

Truong, Buu-Chau, Cathy WS Chen, and Songsak Sriboonchitta. "Hysteretic Poisson INGARCH model for integer-valued time series." Statistical Modelling 17, no. 6 (July 27, 2017): 401–22. http://dx.doi.org/10.1177/1471082x17703855.

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This study proposes a new model for integer-valued time series—the hysteretic Poisson integer-valued generalized autoregressive conditionally heteroskedastic (INGARCH) model—which has an integrated hysteresis zone in the switching mechanism of the conditional expectation. Our modelling framework provides a parsimonious representation of the salient features of integer-valued time series, such as discreteness, over-dispersion, asymmetry and structural change. We adopt Bayesian methods with a Markov chain Monte Carlo sampling scheme to estimate model parameters and utilize the Bayesian information criteria for model comparison. We then apply the proposed model to five real time series of criminal incidents recorded by the New South Wales Police Force in Australia. Simulation results and empirical analysis highlight the better performance of hysteresis in modelling the integer-valued time series.

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14

Maffezzoni, P., L. Daniel, N. Shukla, S. Datta, A. Raychowdhury, and V. Narayanan. "Modelling hysteresis in vanadium dioxide oscillators." Electronics Letters 51, no. 11 (May 2015): 819–20. http://dx.doi.org/10.1049/el.2015.0025.

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15

He, Xuan, Dan Wang, Linxiang Wang, and Roderick Melnik. "Modelling of creep hysteresis in ferroelectrics." Philosophical Magazine 98, no. 14 (February 12, 2018): 1256–71. http://dx.doi.org/10.1080/14786435.2018.1433884.

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16

Kucuk, I., and N. Derebasi. "Dynamic hysteresis modelling for toroidal cores." Physica B: Condensed Matter 372, no. 1-2 (February 2006): 260–64. http://dx.doi.org/10.1016/j.physb.2005.10.062.

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17

Debruyne, H., S. Clenet, and F. Piriou. "Characterisation and modelling of hysteresis phenomenon." Mathematics and Computers in Simulation 46, no. 3-4 (May 1998): 301–11. http://dx.doi.org/10.1016/s0378-4754(97)00143-2.

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18

Vázquez, M., K. Nielsch, P. Vargas, J. Velázquez, D. Navas, K. Pirota, M. Hernández-Vélez, et al. "Modelling hysteresis of interacting nanowires arrays." Physica B: Condensed Matter 343, no. 1-4 (January 2004): 395–402. http://dx.doi.org/10.1016/j.physb.2003.08.076.

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19

Bossavit, Alain. "Remarks about hysteresis in superconductivity modelling." Physica B: Condensed Matter 275, no. 1-3 (January 2000): 142–49. http://dx.doi.org/10.1016/s0921-4526(99)00720-6.

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20

Leonard, P. J., D. Rodger, T. Karagular, and P. C. Coles. "Finite element modelling of magnetic hysteresis." IEEE Transactions on Magnetics 31, no. 3 (May 1995): 1801–4. http://dx.doi.org/10.1109/20.376386.

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21

Filip, Ovidiu, Andrea Deaconescu, and Tudor Deaconescu. "Experimental Research on the Hysteretic Behaviour of Pressurized Artificial Muscles Made from Elastomers with Aramid Fibre Insertions." Actuators 9, no. 3 (September 11, 2020): 83. http://dx.doi.org/10.3390/act9030083.

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Inherent hysteresis behaviour of pressurized artificial muscles is complicated to understand and handle, calling for experimental research that allows the modelling of this phenomenon. The paper presents the results of the experimental study of the hysteretic behaviour of a small-size pneumatic muscle. The specific hysteresis loops were revealed by isotonic and isometric tests. Starting from hypothesis according to that the tube used for the pneumatic muscle is made entirely of aramid fibres enveloped by an elastomer material that merely ensures their airtightness, the paper presents the hysteresis curves that describe the radial and axial dimensional modifications as well as the variation of the developed forces for different feed pressures. The obtained third-degree polynomial equations underlie the configuration of high-performance positioning systems.

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22

Awrejcewicz, Jan, and Larisa Dzyubak. "Hysteresis modelling and chaos prediction in one- and two-DOF hysteretic models." Archive of Applied Mechanics 77, no. 5 (December 19, 2006): 261–79. http://dx.doi.org/10.1007/s00419-006-0101-1.

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23

O’Kane, J. P., and D. Flynn. "Thresholds, switches and hysteresis in hydrology from the pedon to the catchment scale: a non-linear systems theory." Hydrology and Earth System Sciences 11, no. 1 (January 17, 2007): 443–59. http://dx.doi.org/10.5194/hess-11-443-2007.

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Abstract. Hysteresis is a rate-independent non-linearity that is expressed through thresholds, switches, and branches. Exceedance of a threshold, or the occurrence of a turning point in the input, switches the output onto a particular output branch. Rate-independent branching on a very large set of switches with non-local memory is the central concept in the new definition of hysteresis. Hysteretic loops are a special case. A self-consistent mathematical description of hydrological systems with hysteresis demands a new non-linear systems theory of adequate generality. The goal of this paper is to establish this and to show how this may be done. Two results are presented: a conceptual model for the hysteretic soil-moisture characteristic at the pedon scale and a hysteretic linear reservoir at the catchment scale. Both are based on the Preisach model. A result of particular significance is the demonstration that the independent domain model of the soil moisture characteristic due to Childs, Poulavassilis, Mualem and others, is equivalent to the Preisach hysteresis model of non-linear systems theory, a result reminiscent of the reduction of the theory of the unit hydrograph to linear systems theory in the 1950s. A significant reduction in the number of model parameters is also achieved. The new theory implies a change in modelling paradigm.

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24

Schweizer, Ben. "Hysteresis in porous media: Modelling and analysis." Interfaces and Free Boundaries 19, no. 3 (2017): 417–47. http://dx.doi.org/10.4171/ifb/388.

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25

Enokizono, Masato. "Magnetic hysteresis modelling for vector magnetic property." International Journal of Applied Electromagnetics and Mechanics 13, no. 1-4 (December 17, 2002): 203–8. http://dx.doi.org/10.3233/jae-2002-341.

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26

Dominguez, A., R. Sedaghati, and I. Stiharu. "Modelling the hysteresis phenomenon of magnetorheological dampers." Smart Materials and Structures 13, no. 6 (October 7, 2004): 1351–61. http://dx.doi.org/10.1088/0964-1726/13/6/008.

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27

Ribbenfjard, D., and G. Engdahl. "Novel Method for Modelling of Dynamic Hysteresis." IEEE Transactions on Magnetics 44, no. 6 (June 2008): 854–57. http://dx.doi.org/10.1109/tmag.2007.916505.

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28

Robinson, G. M. "Finite element modelling of load cell hysteresis." Measurement 20, no. 2 (February 1997): 103–7. http://dx.doi.org/10.1016/s0263-2241(97)00021-3.

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29

Wang, N., T. O’Donnell, H. Hauser, P. McCloskey, and S. C. O’Mathuna. "Hysteresis modelling of high-frequency micro-transformers." Journal of Magnetism and Magnetic Materials 272-276 (May 2004): E1763—E1764. http://dx.doi.org/10.1016/j.jmmm.2004.01.013.

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30

Michelakis, C., D. Samaras, and G. Litsardakis. "Parameter identification in vector Preisach hysteresis modelling." Journal of Magnetism and Magnetic Materials 196-197 (May 1999): 599–601. http://dx.doi.org/10.1016/s0304-8853(98)00855-5.

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31

Vajda, I., A. Szalay, L. Mohácsi, J. Lukács, and T. Porjesz. "Modelling of Hysteresis of High-Tc Superconductors." International Journal of Modern Physics B 12, no. 29n31 (December 20, 1998): 2958–61. http://dx.doi.org/10.1142/s021797929800185x.

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For the numerical calculation of the magnetic field and forces between HTSC materials and permanent magnets an algorithm and a two-dimensional finite difference computer code has been developed. The superconductor has been treated with its nonlinear and anisotropic dc magnetization curve. The magnetization curves are used as input characteristics for the field calculations. The basic ideas of the physical modelling are discussed.

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32

Chwastek, Krzysztof, Jan Szczygłowski, and Wiesław Wilczyński. "Modelling dynamic hysteresis loops in steel sheets." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 28, no. 3 (May 8, 2009): 603–12. http://dx.doi.org/10.1108/03321640910940873.

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33

Kucuk, Ilker, M. Cuneyt Haciismailoglu, and Naim Derebasi. "Dynamic hysteresis modelling for nano-crystalline cores." Expert Systems with Applications 36, no. 2 (March 2009): 3188–90. http://dx.doi.org/10.1016/j.eswa.2008.01.084.

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34

Gallicchio, Gianvito, Marco Palmieri, Mauro Di Nardo, and Francesco Cupertino. "Fast Torque Computation of Hysteresis Motors and Clutches Using Magneto-static Finite Element Simulation." Energies 12, no. 17 (August 28, 2019): 3311. http://dx.doi.org/10.3390/en12173311.

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Hysteresis motor and clutches have several advantages, such as constant torque from zero to synchronous speed, low torque ripple, and low fabrication cost. Low efficiency and power factor are the main features that have limited the application of this type of electrical machine to few applications. Being a niche argument, little literature has addressed the problem of analytical and finite element (FE) modelling of hysteresis electrical machines. This paper first describes the most important contributions of the literature on the analytical and FE modelling of hysteresis motors and clutches and then proposes a method for the fast computation of its performance. The proposed procedure consists of two steps: first, a magneto-static FE simulation is performed considering the normal magnetization curve of the hysteresis material; then, the average torque is computed by a post-processing analysis. The proposed method is used to analyze a hysteresis clutch and the obtained results are compared with those achieved using a commercial finite element software that implements a vector hysteresis model.

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35

Teng, Xue Feng, Duo Qi Shi, and Xiao Guang Yang. "Modelling of Hysteresis Behavior of Ceramic Matrix Composites." Key Engineering Materials 795 (March 2019): 180–87. http://dx.doi.org/10.4028/www.scientific.net/kem.795.180.

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Under cyclic loading, the fiber-reinforced ceramic matrix composites exhibits hysteresis behavior due to the friction stress. When the matrix/fiber debonding occurs, the shear stress is transferred by friction stress on the debond surface. The friction stress is derived from the equilibrium equation of debond fiber in the unit cell. The result indicates that friction shear stress of a single debond fiber can be described by bilinear law due to the static friction and sliding friction. The nonlinear characteristic of friction stress at macro scale attributes to the distribution of the fiber pullout length. The hysteresis loops arise due to the friction stress and the shape is dominated by the evolution of friction during loading/unloading process. The model decoupled the shear stress into two independent terms: the first term represents the shear stress on well bond interface and the second term represents friction shear stress on debond interface. The method developed in this paper is employed to study the hysteresis behavior of C/SiC composite subjected to arbitrary cyclic load. The hysteresis behavior of C/SiC composite is predicted and compared with experimental data.

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36

Nasiri, Ali Akbar, and Mojtaba Mirsalim. "Analysis of a reverse hybrid hysteresis motor using hyperbolic modelling of hysteresis loop." IET Electric Power Applications 14, no. 8 (August 1, 2020): 1339–46. http://dx.doi.org/10.1049/iet-epa.2019.0106.

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37

Biswas, Saurabh, and Anindya Chatterjee. "A reduced-order model from high-dimensional frictional hysteresis." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2166 (June 8, 2014): 20130817. http://dx.doi.org/10.1098/rspa.2013.0817.

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Hysteresis in material behaviour includes both signum nonlinearities as well as high dimensionality. Available models for component-level hysteretic behaviour are empirical. Here, we derive a low-order model for rate-independent hysteresis from a high-dimensional massless frictional system. The original system, being given in terms of signs of velocities, is first solved incrementally using a linear complementarity problem formulation. From this numerical solution, to develop a reduced-order model, basis vectors are chosen using the singular value decomposition. The slip direction in generalized coordinates is identified as the minimizer of a dissipation-related function. That function includes terms for frictional dissipation through signum nonlinearities at many friction sites. Luckily, it allows a convenient analytical approximation. Upon solution of the approximated minimization problem, the slip direction is found. A final evolution equation for a few states is then obtained that gives a good match with the full solution. The model obtained here may lead to new insights into hysteresis as well as better empirical modelling thereof.

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38

Yu, Hong-Jian, Wen-Long Yang, Zheng-Xin Yang, Wei Dong, Zhi-Jiang Du, and Zhi-Yuan Yan. "Hysteresis analysis of a notched continuum manipulator driven by tendon." Mechanical Sciences 9, no. 1 (June 8, 2018): 211–19. http://dx.doi.org/10.5194/ms-9-211-2018.

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Abstract. Continuum manipulators are widely used in minimally invasive surgical robot systems (MISRS) because of their flexibility and compliance, while their modelling and control are relatively difficult and complex. This paper proposes an improved hysteresis model of a notched continuum manipulator based on the classical Bouc–Wen model, which can reduce errors and increase the accuracy of the kinematic-mechanics coupled model. Then parameters are identified by the mean of genetic algorithm (GA). Hysteresis phenomenon of the mentioned manipulator is actually caused by many factors such as the hysteresis property of Hyperelastic Nitinol Alloy (HNA), the elastic deformation of tendon and the friction between the tendon and the tube. The results of both static and dynamic experiments show that the introduced hysteresis model can eliminate the positional difference between forward and reverse bending processes, and thus improve the forecast precision of deformation during motion. This model can also be used to compensate modelling errors caused by hysteresis of other similar systems.

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39

Li, Peng-Zhi, De-Fu Zhang, Jun-Yan Hu, Barry Lennox, and Farshad Arvin. "Hysteresis Modelling and Feedforward Control of Piezoelectric Actuator Based on Simplified Interval Type-2 Fuzzy System." Sensors 20, no. 9 (May 2, 2020): 2587. http://dx.doi.org/10.3390/s20092587.

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The piezoelectric actuator is indispensable for driving the micro-manipulator. In this paper, a simplified interval type-2 (IT2) fuzzy system is proposed for hysteresis modelling and feedforward control of a piezoelectric actuator. The partial derivative of the output of IT2 fuzzy system with respect to the modelling parameters can be analytically computed with the antecedent part of IT2 fuzzy rule specifically designed. In the experiments, gradient based optimization was used to identify the IT2 fuzzy hysteresis model. Results showed that the maximum error of model identification is 0.42% with only 3 developed IT2 fuzzy rules. Moreover, the model validation was conducted to demonstrate the generalization performance of the identified model. Based on the analytic inverse of the developed model, feedforward control experiment for tracking sinusoidal trajectory of 20 Hz was carried out. As a result, the hysteresis effect of the piezoelectric actuator was reduced with the maximum tracking error being 4.6%. Experimental results indicated an improved performance of the proposed IT2 fuzzy system for hysteresis modelling and feedforward control of the piezoelectric actuator.

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40

Ruderman, Michael. "On stability of linear dynamic systems with hysteresis feedback." Mathematical Modelling of Natural Phenomena 15 (2020): 52. http://dx.doi.org/10.1051/mmnp/2020014.

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The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure’s problem) can be proved by the well-known circle criterion, the multivalued rate-independent hysteresis poses significant challenges for feedback systems, especially for proof of convergence to an equilibrium state correspondingly set. The dissipative behavior of clockwise input-output hysteresis is considered with two boundary cases of energy losses at reversal cycles. For upper boundary cases of maximal (parallelogram shape) hysteresis loop, an equivalent transformation of the closed-loop system is provided. This allows for the application of the circle criterion of absolute stability. Invariant sets as a consequence of hysteresis are discussed. Several numerical examples are demonstrated, including a feedback-controlled double-mass harmonic oscillator with hysteresis and one stable and one unstable poles configuration.

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41

Khan, Salma, Syed Azeemuddin, and Mohammed Arifuddin Sohel. "Proteretic device: modelling and implementation in electronics and optical domain." Semiconductor Science and Technology 37, no. 5 (April 12, 2022): 055021. http://dx.doi.org/10.1088/1361-6641/ac6200.

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Abstract This paper discusses the phenomena of proteresis, commonly known as inverse hysteresis, and the various methods to implement it. Proteresis generates an advanced response when compared to hysteresis, which improves the system’s speed, maintaining the noise immunity intact. This feature of proteresis is seen in multiple naturally occurring phenomena. The paper implements proteresis in domains of electronics and optics, keeping in view essential constraints like area, power, throughput, and speed. The electronic domain consists of two models, one using CMOS circuits and the other using discrete components. The transistor-level design of a proteretic device is on 180 nm CMOS technology, and proof of concept is demonstrated using post-layout simulations. This design is operated on a supply voltage of 1.8 V and consumes significantly less power of 633 µW at a moderate frequency of 10 MHz. The second implementation utilizes discrete components wherein the operational amplifier (op-amp) is utilized to realize the proteretic design. A discussion on the boundary conditions for switching from hysteretic to proteretic is also presented. This design operates at a supply voltage of 12 V from −6 to +6 V and has a high drive current. Finally, the third implementation is in the optical field using semiconductor ring lasers (SRLs). Rate equations are used to model SRL’s and injection locking phenomenon is applied for switching, which is used for high-speed operations.

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ITOH, MAKOTO, and LEON O. CHUA. "MULTIPURPOSE HYSTERESIS CNN." International Journal of Bifurcation and Chaos 14, no. 12 (December 2004): 4035–73. http://dx.doi.org/10.1142/s021812740401179x.

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In this paper, we propose a multipurpose hysteresis CNN (cellular neural network) made of first-order cells with hysteresis switches. The hysteresis CNN has applications not only in image processing, but also in pattern formation, nonlinear wave propagation and associative and dynamic memories, because each hysteresis CNN cell has two operating modes, namely, a bistable multivibrator mode and a relaxation oscillator mode.

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Andersen, Klaus Kaae, Henrik Madsen, Ole Knop, and Niels Gregersen. "MODELLING OF A THERMOSTATIC VALVE WITH HYSTERESIS EFFECTS." IFAC Proceedings Volumes 35, no. 1 (2002): 173–78. http://dx.doi.org/10.3182/20020721-6-es-1901.01582.

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Singh, A. K., and Deepak Apte. "Modelling and Analysis of Hysteresis in Piezoelectric Actuator." Defence Science Journal 56, no. 5 (November 1, 2006): 825–33. http://dx.doi.org/10.14429/dsj.56.1951.

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Wang, Xiao-Meng, and Shu-Yuen Ron Hui. "Graphical modelling of pinched hysteresis loops of memristors." IET Science, Measurement & Technology 11, no. 1 (January 1, 2017): 86–96. http://dx.doi.org/10.1049/iet-smt.2016.0210.

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Makaveev, Dimitre, Luc Dupré, Marc De Wulf, and Jan Melkebeek. "Dynamic hysteresis modelling using feed-forward neural networks." Journal of Magnetism and Magnetic Materials 254-255 (January 2003): 256–58. http://dx.doi.org/10.1016/s0304-8853(02)00785-0.

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Garcia Sanchez, F., O. Chubykalo-Fesenko, O. Mryasov, and R. W. Chantrell. "Multiscale modelling of hysteresis in FePt/FeRh bilayer." Physica B: Condensed Matter 372, no. 1-2 (February 2006): 328–31. http://dx.doi.org/10.1016/j.physb.2005.10.078.

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Baronti, Federico, Nicola Femia, Roberto Saletti, Ciro Visone, and Walter Zamboni. "Preisach modelling of lithium-iron-phosphate battery hysteresis." Journal of Energy Storage 4 (December 2015): 51–61. http://dx.doi.org/10.1016/j.est.2015.09.004.

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Wong, T. H., G. Leach, and F. Zambetta. "Modelling Bending Behaviour in Cloth Simulation Using Hysteresis." Computer Graphics Forum 32, no. 8 (August 22, 2013): 183–94. http://dx.doi.org/10.1111/cgf.12196.

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Li, C., and Y. Tan. "Modelling Preisach-Type Hysteresis Nonlinearity using Neural Network." International Journal of Modelling and Simulation 27, no. 3 (January 2007): 233–41. http://dx.doi.org/10.1080/02286203.2007.11442422.

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