Analysis And Design Of Nonlinear Systems In The Frequency Domain
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Analysis And Design Of Nonlinear Systems In The Frequency Domain
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Author : Yunpeng Zhu
language : en
Publisher:
Release Date : 2019
Analysis And Design Of Nonlinear Systems In The Frequency Domain written by Yunpeng Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Frequency Domain Analysis And Design Of Nonlinear Systems Based On Volterra Series Expansion
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Author : Xingjian Jing
language : en
Publisher: Springer
Release Date : 2015-02-17
Frequency Domain Analysis And Design Of Nonlinear Systems Based On Volterra Series Expansion written by Xingjian Jing and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-17 with Technology & Engineering categories.
This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.
Analysis And Control Of Nonlinear Systems With Stationary Sets
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Author : Jinzhi Wang
language : en
Publisher: World Scientific
Release Date : 2009
Analysis And Control Of Nonlinear Systems With Stationary Sets written by Jinzhi Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. Previous analysis has been based on the frequency-domain for this class of systems. However, few results on robustness analysis and controller design for these systems are easily available. This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.
Discontinuous Control Systems
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Author : Igor Boiko
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-18
Discontinuous Control Systems written by Igor Boiko 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 2008-11-18 with Technology & Engineering categories.
This book provides new insight on the problem of closed-loop performance and oscillations in discontinuous control systems, covering the class of systems that do not necessarily have low-pass filtering properties. The author provides a practical, yet rigorous and exact approach to analysis and design of discontinuous control systems via application of a novel frequency-domain tool: the locus of a perturbed relay system. Presented are a number of practical examples applying the theory to analysis and design of discontinuous control systems from various branches of engineering, including electro-mechanical systems, process control, and electronics. Discontinuous Control Systems is intended for readers who have knowledge of linear control theory and will be of interest to graduate students, researchers, and practicing engineers involved in systems analysis and design.
Analysis And Design Of Nonlinear Systems In The Frequency Domain
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Author : Yunpeng Zhu
language : en
Publisher: Springer Nature
Release Date : 2021-03-25
Analysis And Design Of Nonlinear Systems In The Frequency Domain written by Yunpeng Zhu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Technology & Engineering categories.
This book focuses on the development of three novel approaches to build up a framework for the frequency domain analysis and design of nonlinear systems. The concepts are derived from Volterra series representation of nonlinear systems which are described by nonlinear difference or differential equations. Occupying the middle ground between traditional linear approaches and more complex nonlinear system theories, the book will help readers to have a good start to analyse and exploit the nonlinearities. Analysis and Design of Nonlinear Systems in the Frequency Domain provides clear illustrations and examples at the beginning and the end of each chapter, respectively, making it of interest to both academics and practicing engineers.
Frequency Domain Methods For Nonlinear Analysis Theory And Applications
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Author : Leonov Gennady A
language : en
Publisher: World Scientific
Release Date : 1996-05-09
Frequency Domain Methods For Nonlinear Analysis Theory And Applications written by Leonov Gennady A and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-09 with Science categories.
This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.
Nonlinear Control Systems
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Author : Zoran Vukic
language : en
Publisher: CRC Press
Release Date : 2003-02-04
Nonlinear Control Systems written by Zoran Vukic and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-04 with Technology & Engineering categories.
This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control. It offers engineering procedures for the frequency domain, as well as solved examples for clear understanding of control applications in the industrial, electrical, process, manufacturing, and automotive industries. The authors discuss Properties of nonlinear systems, stability, linearization methods, operating modes and dynamic analysis methods, phase trajectories in dynamic analysis of nonlinear systems, and harmonic linearization in dynamic analysis of nonlinear control systems operating in stabilization mode.
Nonlinear System Identification
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Author : Stephen A. Billings
language : en
Publisher: John Wiley & Sons
Release Date : 2013-09-23
Nonlinear System Identification written by Stephen A. Billings 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 2013-09-23 with Technology & Engineering categories.
Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains describes a comprehensive framework for the identification and analysis of nonlinear dynamic systems in the time, frequency, and spatio-temporal domains. This book is written with an emphasis on making the algorithms accessible so that they can be applied and used in practice. Includes coverage of: The NARMAX (nonlinear autoregressive moving average with exogenous inputs) model The orthogonal least squares algorithm that allows models to be built term by term where the error reduction ratio reveals the percentage contribution of each model term Statistical and qualitative model validation methods that can be applied to any model class Generalised frequency response functions which provide significant insight into nonlinear behaviours A completely new class of filters that can move, split, spread, and focus energy The response spectrum map and the study of sub harmonic and severely nonlinear systems Algorithms that can track rapid time variation in both linear and nonlinear systems The important class of spatio-temporal systems that evolve over both space and time Many case study examples from modelling space weather, through identification of a model of the visual processing system of fruit flies, to tracking causality in EEG data are all included to demonstrate how easily the methods can be applied in practice and to show the insight that the algorithms reveal even for complex systems NARMAX algorithms provide a fundamentally different approach to nonlinear system identification and signal processing for nonlinear systems. NARMAX methods provide models that are transparent, which can easily be analysed, and which can be used to solve real problems. This book is intended for graduates, postgraduates and researchers in the sciences and engineering, and also for users from other fields who have collected data and who wish to identify models to help to understand the dynamics of their systems.
Advances On Analysis And Control Of Vibrations
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Author : Mauricio Zapateiro
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-09-05
Advances On Analysis And Control Of Vibrations written by Mauricio Zapateiro and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-05 with Technology & Engineering categories.
Vibration is a phenomenon that we can perceive in many systems. Their effects are as diverse as the personal discomfort that can produce the unevenness of a road or the collapse of a building or a bridge during an earthquake. This book is a compendium of research works on vibration analysis and control. It goes through new methodologies that help us understand and mitigate this phenomenon. This book is divided into two sections. The first one is devoted to new advances on vibration analysis while the second part is a series of case studies that illustrate novel techniques on vibration control. The applications are varied and include areas such as vehicle suspension systems, wind turbines and civil engineering structures.
Nonlinear Systems
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Author : Dragoslav D. Siljak
language : en
Publisher: John Wiley & Sons
Release Date : 1968
Nonlinear Systems written by Dragoslav D. Siljak 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 1968 with Nonlinear theories categories.