Systems With Hysteresis
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Systems With Hysteresis
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Author : Mark A. Krasnosel'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Systems With Hysteresis written by Mark A. Krasnosel'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Hysteresis phenomena are common in numerous physical, mechanical, ecological and biological systems. They reflect memory effects and process irreversibility. The use of hysteresis operators (hysterons) offers an approach to macroscopic modelling of the dynamics of phase transitions and rheological systems. The applications cover processes in electromagnetism, elastoplasticity and population dynamics in particular. Hysterons are also typical elements of control systems where they represent thermostats and other discontinuous controllers with memory. The book offers the first systematic mathematical treatment of hysteresis nonlinearities. Construction procedures are set up for hysterons in various function spaces, in continuous and discontinuous cases. A general theory of variable hysterons is developed, including identification and stability questions. Both deterministic and non-deterministic hysterons are considered, with applications to the study of feedback systems. Many of the results presented - mostly obtained by the authors and their scientific group - have not been published before. The book is essentially self contained and is addressed both to researchers and advanced students.
Systems With Hysteresis
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Author : Fayçal Ikhouane
language : en
Publisher: John Wiley & Sons
Release Date : 2007-09-27
Systems With Hysteresis written by Fayçal Ikhouane and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-27 with Technology & Engineering categories.
Hysterisis is a system property that is fundamental to a range of engineering applications as the components of systems with hysterisis are able to react differently to different forces applied to them. Control theory is used to model these complex systems and cause them to behave in the desired manner; the Bouc-Wen model is a well-known semi-physical model that is used extensively to describe the hysterisis of systems in the areas of smart structures and civil engineering. The Bouc-Wen model for system hysterisis has increased in popularity due to its capability of capturing in an analytical form a range of shapes of hysteretic cycles that match the behaviour of a wide class of hysteretic systems. “Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model” deals with the analysis, identification and control of these systems, and offers a comprehensive and self-contained framework for the study of the Bouc-Wen model. Includes the latest techniques for modelling smart structures and materials Provides a rigorous mathematical treatment of the subject along with practical comments, numerical solutions and a case study of magentorheological (MR) dampers. Begins by analysing the compatibility of the Bouc-Wen model with the laws of physics, and continues to cover the relationship between the model parameters and hysterisis loop, identification of the model parameters and control of systems that include a hysteretic part described by the Bouc-Wen model. Includes case studies covering the identification and control of smart material transducers for use in automotive, aerospace and structural control Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model offers an invaluable source of ideas, concepts and insights for engineers, researchers, lecturers and senior/ postgraduate students involved in the research, design and development of smart structures and related areas within civil and mechanical engineering. It will also be of interest to readers involved in the wider disciplines of electrical & control engineering, applied mathematics, applied physics and material science.
Modeling And Precision Control Of Systems With Hysteresis
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Author : Lei Liu
language : en
Publisher: Butterworth-Heinemann
Release Date : 2015-11-20
Modeling And Precision Control Of Systems With Hysteresis written by Lei Liu and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-20 with Computers categories.
Modelling and Precision Control of Systems with Hysteresis covers the piezoelectric and other smart materials that are increasingly employed as actuators in precision engineering, from scanning probe microscopes (SPMs) in life science and nano-manufacturing, to precision active optics in astronomy, including space laser communication, space imaging cameras, and the micro-electro-mechanical systems (MEMS). As smart materials are known for having hysteretic dynamics, it is necessary to overcome issues with a broadband range of frequencies. This book offers both the mathematical tools for modeling the systems and applications, including complete case studies and source code for the experiments to help both academics and researchers in the industry to achieve precision in the control of Smart Actuator systems. Provides a comprehensive identification of typical complex hysteresis Presents control algorithm design for systems with hysteresis Contain numerous real life examples and two complete case studies Source code to examples are provided
Extended Abstracts Summer 2016
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Author : Andrei Korobeinikov
language : en
Publisher: Springer
Release Date : 2018-11-27
Extended Abstracts Summer 2016 written by Andrei Korobeinikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-27 with Mathematics categories.
This volume contains extended abstracts outlining selected presentations given by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical theory and applications of multiple scale systems and systems with hysteresis, and held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 13th to 17th, 2016. The collection includes brief research articles on new results, preliminary work, open problems, and the outcomes of group work initiated during the workshop. The book addresses multiple scale phenomena, singular perturbations, phase transitions, and hysteresis phenomena occurring in mathematical, physical, economic, engineering and information systems. Its scope includes both new results in the theory of hysteresis, singularly perturbed systems and dynamical systems in general; and applications to the physical, chemical, biological, microbiological, economic, and engineering sciences, such as: elasto-plasticity and mechanical structures, damage processes, magnetic materials, photonics and optoelectronics, energy storage systems, hydrology, biology, semiconductor lasers, and shock phenomena in economic modeling. Given its breadth of coverage, the book offers a valuable resource for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.
Systems With Non Smooth Inputs
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Author : Jürgen Appell
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-03-08
Systems With Non Smooth Inputs written by Jürgen Appell and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-08 with Mathematics categories.
The authors present a completely new and highly application-oriented field of nonlinear analysis. The work covers the theory of non-smooth input-output systems and presents various methods to non-standard applications in mathematics and physics. A particular focus lies on hysteresis and relay phenomena, electric circuits with diode nonlinearities, and biological systems with constraints.
Non Linear Oscillations Of Systems With Hysteresis
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Author : A. Repaci
language : en
Publisher:
Release Date : 1983
Non Linear Oscillations Of Systems With Hysteresis written by A. Repaci and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Pid Control Of Systems With Hysteresis
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Author : Alex Shum
language : en
Publisher:
Release Date : 2009
Pid Control Of Systems With Hysteresis written by Alex Shum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Hysteresis is exhibited by many physical systems. Smart materials such as piezoelectrics, magnetostrictives and shape memory alloys possess useful properties, especially in the field of micropositioning, but the control of these systems is difficult due to the presence of hysteresis. An accurate model is required to predict the behaviour of these systems so that they can be controlled. Several hysteresis models including the backlash, elastic-plastic and Preisach operators are discussed in detail. Several other models are mentioned. Other control methods for this problem are discussed in the form of a literature review. The focus of this thesis is on the PID control of hysteretic systems. In particular, two systems experiencing hysteresis in their controllers are examined. The hysteresis in each system is described by different sets of assumptions. These assumptions are compared and found to be very similar. In the first system, a PI controller is used to track a reference signal. In the second, a PID controller is used to control a second-order system. The stability and tracking of both systems are discussed. An extension is made to the first system to include the dynamics of a first-order system. The results of the second system are verified to hold for a general first-order system. Simulations were performed with the extension to a first-order system using different hysteresis models.
Noise Driven Phenomena In Hysteretic Systems
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Author : Mihai Dimian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-04
Noise Driven Phenomena In Hysteretic Systems written by Mihai Dimian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-04 with Technology & Engineering categories.
Noise-Driven Phenomena in Hysteretic Systems provides a general approach to nonlinear systems with hysteresis driven by noisy inputs, which leads to a unitary framework for the analysis of various stochastic aspects of hysteresis. This book includes integral, differential and algebraic models that are used to describe scalar and vector hysteretic nonlinearities originating from various areas of science and engineering. The universality of the authors approach is also reflected by the diversity of the models used to portray the input noise, from the classical Gaussian white noise to its impulsive forms, often encountered in economics and biological systems, and pink noise, ubiquitous in multi-stable electronic systems. The book is accompanied by HysterSoft© - a robust simulation environment designed to perform complex hysteresis modeling – that can be used by the reader to reproduce many of the results presented in the book as well as to research both disruptive and constructive effects of noise in hysteretic systems.
The Science Of Hysteresis Mathematical Modeling And Applications
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Author : I. D. Mayergoyz
language : en
Publisher: Academic Press
Release Date : 2006
The Science Of Hysteresis Mathematical Modeling And Applications written by I. D. Mayergoyz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.
Hysteresis
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Author : José Carlos Dias
language : en
Publisher: Nova Science Publishers
Release Date : 2014
Hysteresis written by José Carlos Dias and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Hysteresis categories.
The study of complex hysteresis problems has become increasingly important in recent years, since the hysteresis phenomenon affects significantly the decisions that have to be rendered in a wide range of real-world practical applications. For example, the so-called hysteresis effects may influence substantially some fields not directly related to the natural sciences such as finance, economy, or fiscal policy. In addition, such phenomenon is also typically present in many engineering and physics applications of interest such as in magnetism, spin-valve technology, semiconductors, surface physics, aeronautical and civil engineering aerodynamics, complex battery systems, biology, etc. This book focuses on the most recent attempts for modeling a diverse variety of complex hysteresis problems faced in economics, engineering, and physics. The chapters of this book provide a self-contained, rigorous, and clear treatment of the different types and sources of hysteresis under a large spectrum of applications. The book also highlights how stochastic control and other mathematical tools as well as econometric techniques can be applied for analyzing the complex properties of hysteresis problems. This authoritative book is a definitive guide on how to understand the newest designs for modeling hysteresis in highly complex systems and thus it will be an essential reading for graduate students and researchers in economics, engineering, and physics.