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Piezoelectricity of some materials has shown to have many applications, in particular in energy harvesting. Due to the inherent hysteresis in the characteristic of such materials, a number of hysteretic models have been proposed minding the…

Analysis of PDEs · Mathematics 2018-03-28 Pavel Krejci , Giselle Antunes Monteiro

We propose a hysteretic model for electromechanical coupling in piezoelectric materials, with the strain and the electric field as inputs and the stress and the polarization as outputs. This constitutive law satisfies the thermodynamic…

Analysis of PDEs · Mathematics 2014-12-16 Barbara Kaltenbacher , Pavel Krejci

We consider a recursive iterative algorithm for identification of parameters of the Preisach model, one of the most commonly used models of hysteretic input-output relationships. The classical identification algorithm due to Mayergoyz…

Chaotic Dynamics · Physics 2015-03-09 D. Rachinskii , M. Ruderman

Hysteresis is a phenomenon that is observed in a great variety of physical systems, which leads to a nonlinear and multivalued behavior, making their modeling and control difficult. Even though the analysis and mathematical properties of…

Analysis of PDEs · Mathematics 2019-02-22 A. Bermúdez , D. Gómez , P. Venegas

We introduce a new inversion-free feedforward hysteresis control using the Preisach model. The feedforward scheme has a high-gain integral loop structure with Preisach hysteresis operator in negative feedback. This allows obtaining a…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Michael Ruderman

This paper presents an approach for developing a neural network inverse model of a piezoelectric positioning stage, which exhibits rate-dependent, asymmetric hysteresis. It is shown that using both the velocity and the acceleration as…

Systems and Control · Electrical Eng. & Systems 2020-08-03 Gangfeng Yan , Hang Jian Soo , Khalid Abidi , Jian-Xin Xu

We study in this paper the control of hysteresis-based actuator systems where its remanence behavior (e.g., the remaining memory when the actuation signal is set to zero) must follow a desired reference point. We present a recursive…

Systems and Control · Electrical Eng. & Systems 2020-08-25 M. A. Vasquez-Beltran , B. Jayawardhana , R. Peletier

A hysteresis model based on the assumption of fixed order magnetization reversals is proposed. The model uses one-dimensional diagram for representing states of a system despite of two-dimensional Preisach diagram. The distinctive feature…

Condensed Matter · Physics 2007-05-23 Sergey Langvagen

While it is widely used to represent hysteresis phenomena with unidirectional-oriented loops, we study in this paper the use of Preisach operator for describing hysteresis behavior with multidirectional-oriented loops. This complex…

Systems and Control · Electrical Eng. & Systems 2021-01-05 M. A. Vasquez-Beltran , B. Jayawardhana , R. Peletier

Future improvements in particle accelerator performance is predicated on increasingly accurate online modeling of accelerators. Hysteresis effects in magnetic, mechanical, and material components of accelerators are often neglected in…

Accelerator Physics · Physics 2022-06-01 R. Roussel , A. Edelen , D. Ratner , K. Dubey , J. P. Gonzalez-Aguilera , Y. K. Kim , N. Kuklev

We study the properties of remnant function, which is a function of output remnant versus amplitude of the input signal, of Preisach hysteresis operators. The remnant behavior (or the leftover memory when the input reaches zero) enables an…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Jurrien Keulen , Bayu Jayawardhana

We define two models of hysteresis that generalize the Preisach model. The first model is deterministic, the second model is stochastic and it utilizes disconinuous transition probabilities that satisfy impulsive differential equations. For…

Dynamical Systems · Mathematics 2007-05-23 S. A. Belbas

In statistical inference, a discrepancy between the parameter-to-observable map that generates the data and the parameter-to-observable map that is used for inference can lead to misspecified likelihoods and thus to incorrect estimates. In…

Statistics Theory · Mathematics 2024-07-16 Nada Cvetković , Han Cheng Lie , Harshit Bansal , Karen Veroy

This article presents an approach for modelling hysteresis in piezoelectric materials, that leverages recent advancements in machine learning, particularly in sparse-regression techniques. While sparse regression has previously been used to…

Machine Learning · Computer Science 2023-05-23 Abhishek Chandra , Bram Daniels , Mitrofan Curti , Koen Tiels , Elena A. Lomonova , Daniel M. Tartakovsky

We establish Lipschitz stability properties for a class of inverse problems. In that class, the associated direct problem is formulated by an integral operator Am depending non-linearly on a parameter m and operating on a function u. In the…

Numerical Analysis · Mathematics 2023-02-27 Darko Volkov

In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for the inverse problem involving a simultaneous…

Analysis of PDEs · Mathematics 2022-01-04 E. M. Ait Ben Hassi , S. E. Chorfi , L. Maniar , O. Oukdach

In Lipschitz domains, we study a Darcy-Forchheimer problem coupled with a singular heat equation by a nonlinear forcing term depending on the temperature. By singular we mean that the heat source corresponds to a Dirac measure. We establish…

Numerical Analysis · Mathematics 2023-04-25 Alejandro Allendes , Gilberto Campaña , Enrique Otarola

At the very heart of the successful phenomenological model of magnetic hysteresis there is the so called Preisach distribution. In the existing literature it is implicitly assumed, that this distribution has a mirror symmetry. We show, by…

Materials Science · Physics 2007-05-23 Marek W. Gutowski

Understanding the influence of dipolar interactions in magnetic hyperthermia (MH) experiments is of crucial importance for a fine optimization of nanoparticle (NP) heating power. In this study, we use a kinetic Monte-Carlo algorithm to…

Materials Science · Physics 2015-06-22 R. P. Tan , J. Carrey , M. Respaud

This work is an an early stage of a larger project aiming at answering the question whether or not the Preisach map is really fingerprinting magnetic materials. More precisely, we are interested whether Preisach model of magnetic hysteresis…

Materials Science · Physics 2023-07-19 M. W. Gutowski , Amy Chyao , S. Markovskyi
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