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This study proposes a modularized deep learning-based loading protocol for optimal parameter estimation of Bouc-Wen (BW) class models. The protocol consists of two key components: optimal loading history construction and CNN-based rapid…

Machine Learning · Computer Science 2026-05-22 Sebin Oh , Junho Song , Taeyong Kim

We establish a high-precision composite model for a piezoelectric fast steering mirror (PFSM) using a Hammerstein structure. A novel asymmetric Bouc-Wen model is proposed to describe the nonlinear rate-independent hysteresis, while a…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Sen Yang , Xiaofeng Li

During system identification of a structural system with Bouc-Wen (BW) restoring force mechanisms, the estimated BW parameters may be different for different sets of input-output measurements, indicating potential non-uniqueness in the…

Other Statistics · Statistics 2025-09-23 Adrita Kundu , Suparno Mukhopadhyay

This paper presents a technique for identification of non-linear hysteretic systems subjected to non-stationary loading. In the numerical simulations, a Bouc-Wen model was chosen for its ability to represent the properties of a wide class…

Classical Physics · Physics 2008-12-10 Rosario Ceravolo , Giacomo Demarie , Silvano Erlicher

The behavior of a new Hysteretic Nonlinear Energy Sink (HNES) coupled to a linear primary oscillator is investigated in shock mitigation. Apart from a small mass and a nonlinear elastic spring of the Duffing oscillator, the HNES is also…

Applied Physics · Physics 2018-02-14 George C. Tsiatas , Aristotelis E. Charalampakis

Structural damping is known to be approximately rate-independent in many cases. Popular models for rate-independent dissipation are hysteresis models; and a highly popular hysteresis model is the Bouc-Wen model. If such hysteretic…

Computational Engineering, Finance, and Science · Computer Science 2023-02-22 Bidhayak Goswami , Anindya Chatterjee

Hysteresis is a nonlinear phenomenon with memory effects, where a system's output depends on both its current state and past states. It is prevalent in various physical and mechanical systems, such as yielding structures under seismic…

Computational Engineering, Finance, and Science · Computer Science 2026-04-03 Siyuan Yang , Wei Liu , Zhilu Lai

Hysteresis is a highly nonlinear phenomenon, showing up in a wide variety of science and engineering problems. The identification of hysteretic systems from input-output data is a challenging task. Recent work on black-box polynomial…

Systems and Control · Computer Science 2018-03-14 Alireza Fakhrizadeh Esfahani , Philippe Dreesen , Koen Tiels , Jean-Philippe Noël , Johan Schoukens

Pneumatic muscle actuators (PMA) are easy-to-fabricate, lightweight, compliant, and have high power-to-weight ratio, thus making them the ideal actuation choice for many soft and continuum robots. But so far, limited work has been carried…

Robotics · Computer Science 2018-11-14 Isuru S. Godage , Yue Chen , Ian D. Walker

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 develop an efficient and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE). We first examine the regularization technique of Chen, Holst, and Xu; this technique made possible the first a…

Numerical Analysis · Mathematics 2010-10-01 Michael Holst , James Andrew McCammon , Zeyun Yu , Yongcheng Zhou , Yunrong Zhu

Conventional viscoelastic characterization of brain white matter (BWM), typically described using Prony series models, remains a largely empirical representation that is difficult to interpret physically. Growing evidence suggests that…

Medical Physics · Physics 2026-01-28 P. Pasupathy , J. G. Georgiadis , A. A Pelegri

In this paper, we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations (PDEs) with uncertainties. The new approach is realized in the semi-discrete finite-volume framework and is based…

Modeling soft pneumatic actuators with high precision remains a fundamental challenge due to their highly nonlinear and compliant characteristics. This paper proposes an innovative modeling framework based on fractional-order differential…

Robotics · Computer Science 2025-12-23 Wu-Te Yang , Masayoshi Tomizuka

Standard system identification methods often provide inconsistent estimates with closed-loop data. With the prediction error method (PEM), this issue is solved by using a noise model that is flexible enough to capture the noise spectrum.…

Systems and Control · Computer Science 2018-09-07 Miguel Galrinho , Cristian R. Rojas , Hakan Hjalmarsson

This study introduces a Fractional Order Fuzzy PID (FOFPID) controller that uses the Whale Optimization Algorithm (WOA) to manage the Bispectral Index (BIS), keeping it within the ideal range of forty to sixty. The FOFPID controller…

Artificial Intelligence · Computer Science 2025-08-19 Lida Shahbandari , Hossein Mohseni

We examine two semi-analytical methods for estimating the baryon asymmetry of the universe (BAU) generated in scenarios of ``local'' electroweak baryogenesis (in which the requisite baryon number violation and CP violation occur together in…

High Energy Physics - Phenomenology · Physics 2016-08-24 Arthur Lue , Krishna Rajagopal , Mark Trodden

This paper proposes a friction model parameter identification routine that can work with highly nonlinear and chaotic systems. The chosen system for this study is a passively-actuated tilted Furuta pendulum, which is known to have a highly…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Ali Wadi , Shayok Mukhopadhyay , Lotfi Romdhane

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 introduce the parafermionic truncated Wigner approximation ($p$TWA), a semiclassical phase-space framework for simulating the nonequilibrium dynamics of lattice systems with fractional exchange statistics. The method extends truncated…

Strongly Correlated Electrons · Physics 2026-04-01 Javad Vahedi , Martin Garttner
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