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Piezoelectric fast steering mirrors (PFSM) are widely utilized in beam precision-pointing systems but encounter considerable challenges in achieving high-precision tracking of fast trajectories due to nonlinear hysteresis and mechanical…

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

In this paper, we present a new discrete-time Fast Terminal Sliding Mode (FTSM) controller for mirror-based pointing systems. We first derive the decoupled model of those systems and then estimate the parameters using a nonlinear…

Systems and Control · Computer Science 2019-01-03 Ansu Man Singh , Manh Duong Phung , Quang Ha

This paper presents a new fractional-order normalized Bouc-Wen (BW) (FONBW) model to describe the asymmetric and rate-dependent hysteresis nonlinearity of piezoelectric actuators (PEAs). In view of the fact that the classical BW (CBW) model…

Robotics · Computer Science 2021-04-13 Shengzheng Kang , Hongtao Wu , Yao Li , Xiaolong Yang , Jiafeng Yao

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 present the conceptual design and initial development of the Hysteretic Deformable Mirror (HDM). The HDM is a completely new approach to the design and operation of deformable mirrors for wavefront correction in advanced imaging systems.…

Instrumentation and Methods for Astrophysics · Physics 2020-08-24 R. Huisman , M. Bruijn , S. Damerio , M. Eggens , S. N. R. Kazmi , A. E. M. Schmerbauch , H. Smit , M. A. Vasquez-Beltran , E. van der Veer , M. Acuautla , B. Jayawardhana , B. Noheda

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

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

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

The FitzHugh-Nagumo (FHN) model, from computational neuroscience, has attracted attention in nonlinear dynamics studies as it describes the behavior of excitable systems and exhibits interesting bifurcation properties. The accurate…

Pattern Formation and Solitons · Physics 2021-02-09 Shady E. Ahmed , Omer San , Sivaramakrishnan Lakshmivarahan

We propose a novel differentiable physics engine for system identification of complex spring-rod assemblies. Unlike black-box data-driven methods for learning the evolution of a dynamical system and its parameters, we modularize the design…

Robotics · Computer Science 2020-04-30 Kun Wang , Mridul Aanjaneya , Kostas Bekris

In this paper, we focus on multi-scale modeling and simulation of piezoelectric composite materials. A multi-scale model for piezoelectric composite materials under the framework of Heterogeneous Multi-scale Method(HMM) is proposed. For…

Mathematical Physics · Physics 2014-02-18 Qian Zhang , Xingye Yue

Simultaneously performing variable selection and inference in high-dimensional models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of specific…

Methodology · Statistics 2025-10-02 Marco Molinari , Magne Thoresen

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

Block-oriented nonlinear models are popular in nonlinear modeling because of their advantages to be quite simple to understand and easy to use. To increase the flexibility of single branch block-oriented models, such as Hammerstein, Wiener,…

Systems and Control · Computer Science 2017-08-23 Maarten Schoukens , Anna Marconato , Rik Pintelon , Gerd Vandersteen , Yves Rolain

We study mathematical models of binary direct collinear collisions of convex viscoplastic bodies based on two incremental collision laws that employ the Bouc-Wen differential model of hysteresis to represent the elastoplastic behavior of…

Classical Physics · Physics 2025-07-15 Mihails Milehins , Dan B. Marghitu

We present a scheme to construct model potentials, with parameters computed from first principles, for large-scale lattice-dynamical simulations of materials. Our method mimics the traditional solid-state approach to the investigation of…

Materials Science · Physics 2013-12-04 Jacek C. Wojdeł , Patrick Hermet , Mathias P. Ljungberg , Philippe Ghosez , Jorge Íñiguez

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

The aim of this paper is to deal with multi-physics simulation of micro-electro-mechanical systems (MEMS) based on an advanced numerical methodology. MEMS are very small devices in which electric as well as mechanical and fluid phenomena…

Other Computer Science · Computer Science 2007-11-29 V. Rochus , J. -C. Golinval , C. Louis , C. Mendez , I. Klapka

Finite element modeling (FEM) is a critical tool in the design and analysis of piezoelectric devices, offering detailed numerical simulations that guide various applications. While traditionally applied to eigenfrequency analysis and…

Robotics · Computer Science 2024-09-18 Zhanyue Zhao , Yang Wang , Charles Bales , Yiwei Jiang , Gregory Fischer

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
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