Nonlinear System Identification 1 Nonlinear System Parameter Identification

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Nonlinear System Identification — Input-Output Modeling Approach

Author : Robert Haber,L. Keviczky
Publisher : Springer
Page : 802 pages
File Size : 53,9 Mb
Release : 1999-07-31
Category : Science
ISBN : 0792358589

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Nonlinear System Identification — Input-Output Modeling Approach by Robert Haber,L. Keviczky Pdf

The subject of the book is to present the modeling, parameter estimation and other aspects of the identification of nonlinear dynamic systems. The treatment is restricted to the input-output modeling approach. Because of the widespread usage of digital computers discrete time methods are preferred. Time domain parameter estimation methods are dealt with in detail, frequency domain and power spectrum procedures are described shortly. The theory is presented from the engineering point of view, and a large number of examples of case studies on the modeling and identifications of real processes illustrate the methods. Almost all processes are nonlinear if they are considered not merely in a small vicinity of the working point. To exploit industrial equipment as much as possible, mathematical models are needed which describe the global nonlinear behavior of the process. If the process is unknown, or if the describing equations are too complex, the structure and the parameters can be determined experimentally, which is the task of identification. The book is divided into seven chapters dealing with the following topics: 1. Nonlinear dynamic process models 2. Test signals for identification 3. Parameter estimation methods 4. Nonlinearity test methods 5. Structure identification 6. Model validity tests 7. Case studies on identification of real processes Chapter I summarizes the different model descriptions of nonlinear dynamical systems.

Nonlinear system identification. 2. Nonlinear system structure identification

Author : Robert Haber,László Keviczky
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 51,8 Mb
Release : 1999
Category : Computers
ISBN : 0792358570

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Nonlinear system identification. 2. Nonlinear system structure identification by Robert Haber,László Keviczky Pdf

This is the second part of a two-volume handbook presenting a comprehensive overview of nonlinear dynamic system identification. The books include many aspects of nonlinear processes such as modelling, parameter estimation, structure search, nonlinearity and model validity tests.

Nonlinear System Identification

Author : Stephen A. Billings
Publisher : John Wiley & Sons
Page : 611 pages
File Size : 49,6 Mb
Release : 2013-07-29
Category : Technology & Engineering
ISBN : 9781118535554

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Nonlinear System Identification by Stephen A. Billings Pdf

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.

The Koopman Operator in Systems and Control

Author : Alexandre Mauroy,Igor Mezić,Yoshihiko Susuki
Publisher : Springer Nature
Page : 568 pages
File Size : 47,9 Mb
Release : 2020-02-22
Category : Technology & Engineering
ISBN : 9783030357139

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The Koopman Operator in Systems and Control by Alexandre Mauroy,Igor Mezić,Yoshihiko Susuki Pdf

This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

Block-oriented Nonlinear System Identification

Author : Fouad Giri,Er-Wei Bai
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 49,6 Mb
Release : 2010-08-18
Category : Technology & Engineering
ISBN : 9781849965125

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Block-oriented Nonlinear System Identification by Fouad Giri,Er-Wei Bai Pdf

Block-oriented Nonlinear System Identification deals with an area of research that has been very active since the turn of the millennium. The book makes a pedagogical and cohesive presentation of the methods developed in that time. These include: iterative and over-parameterization techniques; stochastic and frequency approaches; support-vector-machine, subspace, and separable-least-squares methods; blind identification method; bounded-error method; and decoupling inputs approach. The identification methods are presented by authors who have either invented them or contributed significantly to their development. All the important issues e.g., input design, persistent excitation, and consistency analysis, are discussed. The practical relevance of block-oriented models is illustrated through biomedical/physiological system modelling. The book will be of major interest to all those who are concerned with nonlinear system identification whatever their activity areas. This is particularly the case for educators in electrical, mechanical, chemical and biomedical engineering and for practising engineers in process, aeronautic, aerospace, robotics and vehicles control. Block-oriented Nonlinear System Identification serves as a reference for active researchers, new comers, industrial and education practitioners and graduate students alike.

Nonlinear System Identification

Author : Oliver Nelles
Publisher : Springer Science & Business Media
Page : 786 pages
File Size : 52,8 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662043233

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Nonlinear System Identification by Oliver Nelles Pdf

Written from an engineering point of view, this book covers the most common and important approaches for the identification of nonlinear static and dynamic systems. The book also provides the reader with the necessary background on optimization techniques, making it fully self-contained. The new edition includes exercises.

Block-oriented Nonlinear System Identification

Author : Fouad Giri,Er-Wei Bai
Publisher : Springer
Page : 426 pages
File Size : 44,7 Mb
Release : 2010-09-22
Category : Technology & Engineering
ISBN : 9781849965132

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Block-oriented Nonlinear System Identification by Fouad Giri,Er-Wei Bai Pdf

Block-oriented Nonlinear System Identification deals with an area of research that has been very active since the turn of the millennium. The book makes a pedagogical and cohesive presentation of the methods developed in that time. These include: iterative and over-parameterization techniques; stochastic and frequency approaches; support-vector-machine, subspace, and separable-least-squares methods; blind identification method; bounded-error method; and decoupling inputs approach. The identification methods are presented by authors who have either invented them or contributed significantly to their development. All the important issues e.g., input design, persistent excitation, and consistency analysis, are discussed. The practical relevance of block-oriented models is illustrated through biomedical/physiological system modelling. The book will be of major interest to all those who are concerned with nonlinear system identification whatever their activity areas. This is particularly the case for educators in electrical, mechanical, chemical and biomedical engineering and for practising engineers in process, aeronautic, aerospace, robotics and vehicles control. Block-oriented Nonlinear System Identification serves as a reference for active researchers, new comers, industrial and education practitioners and graduate students alike.

Nonlinear System Identification

Author : Stephen A. Billings
Publisher : John Wiley & Sons
Page : 611 pages
File Size : 50,5 Mb
Release : 2013-09-23
Category : Technology & Engineering
ISBN : 9781119943594

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Nonlinear System Identification by Stephen A. Billings Pdf

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.

Identification of Nonlinear Systems Using Neural Networks and Polynomial Models

Author : Andrzej Janczak
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 45,8 Mb
Release : 2004-11-18
Category : Technology & Engineering
ISBN : 3540231854

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Identification of Nonlinear Systems Using Neural Networks and Polynomial Models by Andrzej Janczak Pdf

This monograph systematically presents the existing identification methods of nonlinear systems using the block-oriented approach It surveys various known approaches to the identification of Wiener and Hammerstein systems which are applicable to both neural network and polynomial models. The book gives a comparative study of their gradient approximation accuracy, computational complexity, and convergence rates and furthermore presents some new and original methods concerning the model parameter adjusting with gradient-based techniques. "Identification of Nonlinear Systems Using Neural Networks and Polynomal Models" is useful for researchers, engineers and graduate students in nonlinear systems and neural network theory.

Nonparametric System Identification

Author : Wlodzimierz Greblicki,Miroslaw Pawlak
Publisher : Cambridge University Press
Page : 0 pages
File Size : 44,9 Mb
Release : 2012-10-04
Category : Technology & Engineering
ISBN : 1107410622

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Nonparametric System Identification by Wlodzimierz Greblicki,Miroslaw Pawlak Pdf

Presenting a thorough overview of the theoretical foundations of non-parametric system identification for nonlinear block-oriented systems, this books shows that non-parametric regression can be successfully applied to system identification, and it highlights the achievements in doing so. With emphasis on Hammerstein, Wiener systems, and their multidimensional extensions, the authors show how to identify nonlinear subsystems and their characteristics when limited information exists. Algorithms using trigonometric, Legendre, Laguerre, and Hermite series are investigated, and the kernel algorithm, its semirecursive versions, and fully recursive modifications are covered. The theories of modern non-parametric regression, approximation, and orthogonal expansions, along with new approaches to system identification (including semiparametric identification), are provided. Detailed information about all tools used is provided in the appendices. This book is for researchers and practitioners in systems theory, signal processing, and communications and will appeal to researchers in fields like mechanics, economics, and biology, where experimental data are used to obtain models of systems.

Current Trends in Nonlinear Systems and Control

Author : Laura Menini,Luca Zaccarian,Chaouki T. Abdallah
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 50,6 Mb
Release : 2006-09-13
Category : Technology & Engineering
ISBN : 9780817644703

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Current Trends in Nonlinear Systems and Control by Laura Menini,Luca Zaccarian,Chaouki T. Abdallah Pdf

This volume is an outgrowth of the workshop "Applications of Advanced Control Theory to Robotics and Automation, "organized in honor of the 70th birthdays of Petar V. Kokotovic and Salvatore (Turi) Nicosia. Both Petar and Turi have carried out distinguished work in the control community and have long been recognized as mentors, as well as experts and pioneers in the field of automatic control, covering many topics in control theory and several different applications. The variety of their research is reflected in this book, which includes contributions ranging from mathematics to laboratory experiments. The scope of the work is very broad, and although each chapter is self-contained, the book has been organized into thematically related chapters, which in some cases, suggest to the reader a convenient reading sequence. The great variety of topics covered and the almost tutorial writing style used by many of the authors will make this book suitable for both experts in the control field and young researchers who seek a more intuitive understanding of these relevant topics in the field.

Nonlinear Systems Identification in Presence of Nonuniqueness

Author : Jean-Noël Aubrun
Publisher : Unknown
Page : 90 pages
File Size : 51,8 Mb
Release : 1971
Category : Algorithms
ISBN : UIUC:30112106692129

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Nonlinear Systems Identification in Presence of Nonuniqueness by Jean-Noël Aubrun Pdf

Nonlinear systems for matching input-output of mathematical model to physical system.

Methods and Applications for Modeling and Simulation of Complex Systems

Author : Wenhui Fan,Lin Zhang,Ni Li,Xiao Song
Publisher : Springer Nature
Page : 648 pages
File Size : 52,7 Mb
Release : 2022-12-22
Category : Computers
ISBN : 9789811991981

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Methods and Applications for Modeling and Simulation of Complex Systems by Wenhui Fan,Lin Zhang,Ni Li,Xiao Song Pdf

The two-volume set CCIS 1712 and 1713 constitutes the proceedings of the 21st Asian Simulation Conference, AsiaSim 2022, which took place in Changsha, China, in January 2023. Due to the Covid pandemic AsiaSim 2022 has been postponed to January 2023. The 97 papers presented in the proceedings were carefully reviewed and selected from 218 submissions. The contributions were organized in topical sections as follows: Modeling theory and methodology; Continuous system/discrete event system/hybrid system/intelligent system modeling and simulation; Complex systems and open, complex and giant systems modeling and simulation; Integrated natural environment and virtual reality environment modeling and simulation; Networked Modeling and Simulation; Flight simulation, simulator, simulation support environment, simulation standard and simulation system construction; High performance computing, parallel computing, pervasive computing, embedded computing and simulation; CAD/CAE/CAM/CIMS/VP/VM/VR/SBA; Big data challenges and requirements for simulation and knowledge services of big data ecosystem; Artificial intelligence for simulation; Application of modeling/simulation in science/engineering/society/economy /management/energy/transportation/life/biology/medicine etc; Application of modeling/simulation in energy saving/emission reduction, public safety, disaster prevention/mitigation; Modeling/simulation applications in the military field; Modeling/simulation applications in education and training; Modeling/simulation applications in entertainment and sports.