Spatio Temporal Modeling Of Nonlinear Distributed Parameter Systems

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Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems

Author : Han-Xiong Li
Publisher : Springer Science & Business Media
ISBN 13 : 940070741X
Total Pages : 175 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems by : Han-Xiong Li

Download or read book Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems written by Han-Xiong Li and published by Springer Science & Business Media. This book was released on 2011-02-24 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches. In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes. Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.

Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos

Download Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos PDF Online Free

Author : Janya-anurak, Chettapong
Publisher : KIT Scientific Publishing
ISBN 13 : 3731506424
Total Pages : 248 pages
Book Rating : 4.7/5 (315 download)

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Book Synopsis Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos by : Janya-anurak, Chettapong

Download or read book Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos written by Janya-anurak, Chettapong and published by KIT Scientific Publishing. This book was released on 2017-04-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the Uncertainty Quantification (UQ) approaches combined systematically to analyze and identify systems. The generalized Polynomial Chaos (gPC) expansion is applied to reduce the computational effort. The framework using gPC based on Bayesian UQ proposed in this work is capable of analyzing the system systematically and reducing the disagreement between the model predictions and the measurements of the real processes to fulfill user defined performance criteria.

DNA Computing Based Genetic Algorithm

Author : Jili Tao
Publisher : Springer Nature
ISBN 13 : 981155403X
Total Pages : 280 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis DNA Computing Based Genetic Algorithm by : Jili Tao

Download or read book DNA Computing Based Genetic Algorithm written by Jili Tao and published by Springer Nature. This book was released on 2020-07-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the implementation, evaluation and application of DNA/RNA-based genetic algorithms in connection with neural network modeling, fuzzy control, the Q-learning algorithm and CNN deep learning classifier. It presents several DNA/RNA-based genetic algorithms and their modifications, which are tested using benchmarks, as well as detailed information on the implementation steps and program code. In addition to single-objective optimization, here genetic algorithms are also used to solve multi-objective optimization for neural network modeling, fuzzy control, model predictive control and PID control. In closing, new topics such as Q-learning and CNN are introduced. The book offers a valuable reference guide for researchers and designers in system modeling and control, and for senior undergraduate and graduate students at colleges and universities.

Adaptive Learning Methods for Nonlinear System Modeling

Author : Danilo Comminiello
Publisher : Butterworth-Heinemann
ISBN 13 : 0128129778
Total Pages : 390 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Adaptive Learning Methods for Nonlinear System Modeling by : Danilo Comminiello

Download or read book Adaptive Learning Methods for Nonlinear System Modeling written by Danilo Comminiello and published by Butterworth-Heinemann. This book was released on 2018-06-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms and machine learning methods designed for nonlinear system modeling and identification. Real-life problems always entail a certain degree of nonlinearity, which makes linear models a non-optimal choice. This book mainly focuses on those methodologies for nonlinear modeling that involve any adaptive learning approaches to process data coming from an unknown nonlinear system. By learning from available data, such methods aim at estimating the nonlinearity introduced by the unknown system. In particular, the methods presented in this book are based on online learning approaches, which process the data example-by-example and allow to model even complex nonlinearities, e.g., showing time-varying and dynamic behaviors. Possible fields of applications of such algorithms includes distributed sensor networks, wireless communications, channel identification, predictive maintenance, wind prediction, network security, vehicular networks, active noise control, information forensics and security, tracking control in mobile robots, power systems, and nonlinear modeling in big data, among many others. This book serves as a crucial resource for researchers, PhD and post-graduate students working in the areas of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, computational intelligence. This book may be also of interest to the industry market and practitioners working with a wide variety of nonlinear systems. - Presents the key trends and future perspectives in the field of nonlinear signal processing and adaptive learning. - Introduces novel solutions and improvements over the state-of-the-art methods in the very exciting area of online and adaptive nonlinear identification. - Helps readers understand important methods that are effective in nonlinear system modelling, suggesting the right methodology to address particular issues.

6th International Conference on Advancements of Medicine and Health Care through Technology; 17–20 October 2018, Cluj-Napoca, Romania

Author : Simona Vlad
Publisher : Springer
ISBN 13 : 9811362076
Total Pages : 330 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis 6th International Conference on Advancements of Medicine and Health Care through Technology; 17–20 October 2018, Cluj-Napoca, Romania by : Simona Vlad

Download or read book 6th International Conference on Advancements of Medicine and Health Care through Technology; 17–20 October 2018, Cluj-Napoca, Romania written by Simona Vlad and published by Springer. This book was released on 2019-05-16 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the contributions of the 6th International Conference on Advancements of Medicine and Health Care through Technology – MediTech 2018, held between 17 – 20 October 2018 in Cluj-Napoca, Romania. The papers of this Proceedings volume present new developments in : - Health Care Technology - Medical Devices, Measurement and Instrumentation - Medical Imaging, Image and Signal Processing - Modeling and Simulation - Molecular Bioengineering - Biomechanics

System Design and Control Integration for Advanced Manufacturing

Author : Han-Xiong Li
Publisher : John Wiley & Sons
ISBN 13 : 1118822331
Total Pages : 264 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis System Design and Control Integration for Advanced Manufacturing by : Han-Xiong Li

Download or read book System Design and Control Integration for Advanced Manufacturing written by Han-Xiong Li and published by John Wiley & Sons. This book was released on 2014-10-27 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most existing robust design books address design for static systems, or achieve robust design from experimental data via the Taguchi method. Little work considers model information for robust design particularly for the dynamic system. This book covers robust design for both static and dynamic systems using the nominal model information or the hybrid model/data information, and also integrates design with control under a large operating region. This design can handle strong nonlinearity and more uncertainties from model and parameters.

Informatics in Control, Automation and Robotics

Author : Oleg Gusikhin
Publisher : Springer Nature
ISBN 13 : 3030319938
Total Pages : 587 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Informatics in Control, Automation and Robotics by : Oleg Gusikhin

Download or read book Informatics in Control, Automation and Robotics written by Oleg Gusikhin and published by Springer Nature. This book was released on 2019-10-25 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to familiarize readers with the latest research on, and recent advances in, the field of Informatics in Control, Automation and Robotics. It gathers a selection of papers highlighting the state-of-the-art in Intelligent Control Systems, Optimization, Robotics and Automation, Signal Processing, Sensors, Systems Modelling and Control. Combining theoretical aspects with practical applications, the book offers a well-balanced overview of the latest achievements, and will provide researchers, engineers and PhD students with both a vital update and new inspirations for their own research.

Nonlinear System Identification

Author : Stephen A. Billings
Publisher : John Wiley & Sons
ISBN 13 : 1119943590
Total Pages : 611 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Nonlinear System Identification by : Stephen A. Billings

Download or read book Nonlinear System Identification written by Stephen A. Billings and published by John Wiley & Sons. This book was released on 2013-09-23 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 in Machine Learning Research and Application: 2012 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464990697
Total Pages : 1934 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Advances in Machine Learning Research and Application: 2012 Edition by :

Download or read book Advances in Machine Learning Research and Application: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2012-12-26 with total page 1934 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Machine Learning Research and Application / 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Machine Learning. The editors have built Advances in Machine Learning Research and Application / 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Machine Learning in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Advances in Machine Learning Research and Application / 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Robust Engineering Designs of Partial Differential Systems and Their Applications

Author : Bor-Sen Chen
Publisher : CRC Press
ISBN 13 : 1000514064
Total Pages : 459 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Robust Engineering Designs of Partial Differential Systems and Their Applications by : Bor-Sen Chen

Download or read book Robust Engineering Designs of Partial Differential Systems and Their Applications written by Bor-Sen Chen and published by CRC Press. This book was released on 2021-12-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most systems in science, engineering, and biology are of partial differential systems (PDSs) modeled by partial differential equations. Many books about partial differential equations have been written by mathematicians and mainly address some fundamental mathematic backgrounds and discuss some mathematic properties of partial differential equations. Only a few books on PDSs have been written by engineers; however, these books have focused mainly on the theoretical stabilization analysis of PDSs, especially mechanical systems. This book investigates both robust stabilization control design and robust filter design and reference tracking control design in mechanical, signal processing, and control systems to fill a gap in the study of PDSs. Robust Engineering Designs of Partial Differential Systems and Their Applications offers some fundamental background in the first two chapters. The rest of the chapters focus on a specific design topic with a corresponding deep investigation into robust H∞ filtering, stabilization, or tracking design for more complex and practical PDSs under stochastic fluctuation and external disturbance. This book is aimed at engineers and scientists and addresses the gap between the theoretical stabilization results of PDSs in academic and practical engineering designs more focused on the robust H∞ filtering, stabilization, and tracking control problems of linear and nonlinear PDSs under intrinsic random fluctuation and external disturbance in industrial applications. Part I provides backgrounds on PDSs, such as Galerkin’s, and finite difference methods to approximate PDSs and a fuzzy method to approximate nonlinear PDSs. Part II examines robust H∞ filter designs for the robust state estimation of linear and nonlinear stochastic PDSs. And Part III treats robust H∞ stabilization and tracking control designs of linear and nonlinear PDSs. Every chapter focuses on an engineering design topic with both theoretical design analysis and practical design examples.

International Conference on Advancements of Medicine and Health Care through Technology; 5th – 7th June 2014, Cluj-Napoca, Romania

Author : Simona Vlad
Publisher : Springer
ISBN 13 : 3319076531
Total Pages : 348 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis International Conference on Advancements of Medicine and Health Care through Technology; 5th – 7th June 2014, Cluj-Napoca, Romania by : Simona Vlad

Download or read book International Conference on Advancements of Medicine and Health Care through Technology; 5th – 7th June 2014, Cluj-Napoca, Romania written by Simona Vlad and published by Springer. This book was released on 2014-05-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the contributions of the third International Conference on Advancements of Medicine and Health Care through Technology (Meditech 2014), held in in Cluj-Napoka, Romania. The papers of this Proceedings volume present new developments in - Health Care Technology, - Medical Devices, Measurement and Instrumentation, - Medical Imaging, Image and Signal Processing, - Modeling and Simulation, - Molecular Bioengineering, - Biomechanics.

Modeling and Control of Dynamic Spatially Distributed Systems

Author : Yizhi Wang
Publisher : Elsevier
ISBN 13 : 0323953913
Total Pages : 383 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Modeling and Control of Dynamic Spatially Distributed Systems by : Yizhi Wang

Download or read book Modeling and Control of Dynamic Spatially Distributed Systems written by Yizhi Wang and published by Elsevier. This book was released on 2024-11-08 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Control of Dynamic Spatially Distributed Systems: Pharmaceutical Processes provides a balanced approach to help readers to get started quickly in the field of biochemical pharmaceuticals. From a theoretical perspective, dynamic spatially distributed systems are introduced to address their industrial applications. After identifying problems, the book provides readers with modeling and control system design techniques via a novel fuzzy set (class of objects with a continuum of grades of membership, to describe the grade of the object belonging to this fuzzy set) and intelligent computation methods. From an application perspective, the book provides a thorough understanding of Good Manufacture Practices (GMP) and the importance of identification, modelling, and intelligent control of such systems, reducing the test-and-error cost, and the R&D design time cycle of original drug development. - Provides an updated, supplemental knowledge to the body of distributed parameter systems - Covers control and analysis framework based on a state-space approach for a non-standard model from industrial complex systems - Presents a novel proposed fuzzy set and applies it to case studies to illustrate its feasibility - Includes a control system design solution from perspective of medicine production

Optimal Input Signals for Parameter Estimation

Author : Ewaryst Rafajłowicz
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110383349
Total Pages : 232 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Optimal Input Signals for Parameter Estimation by : Ewaryst Rafajłowicz

Download or read book Optimal Input Signals for Parameter Estimation written by Ewaryst Rafajłowicz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE’s as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them. An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions having a tensor product (Kronecker) structure that is compatible with eigenfunctions of many partial differential operators. New optimality conditions in the time domain and computational algorithms are derived for D-optimal input signals when parameters of ordinary differential equations are estimated. They are used as building blocks for constructing D-optimal spatio-temporal inputs for systems described by linear partial differential equations of the parabolic and hyperbolic types with constant parameters. Optimality conditions for spatially distributed signals are also obtained for equations of elliptic type in those cases where their eigenfunctions do not depend on unknown constant parameters. These conditions and the resulting algorithms are interesting in their own right and, moreover, they are second building blocks for optimality of spatio-temporal signals. A discussion of the generalizability and possible applications of the results obtained is presented.

Numerical Simulation of Distributed Parameter Processes

Author : Tiberiu Colosi
Publisher : Springer Science & Business Media
ISBN 13 : 3319000144
Total Pages : 351 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Numerical Simulation of Distributed Parameter Processes by : Tiberiu Colosi

Download or read book Numerical Simulation of Distributed Parameter Processes written by Tiberiu Colosi and published by Springer Science & Business Media. This book was released on 2013-03-02 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph defines, interprets and uses the matrix of partial derivatives of the state vector with applications for the study of some common categories of engineering. The book covers broad categories of processes that are formed by systems of partial derivative equations (PDEs), including systems of ordinary differential equations (ODEs). The work includes numerous applications specific to Systems Theory based on Mpdx, such as parallel, serial as well as feed-back connections for the processes defined by PDEs. For similar, more complex processes based on Mpdx with PDEs and ODEs as components, we have developed control schemes with PID effects for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermo-energetic) or in electro-mechanics (railway – traction) and so on. The monograph has a purely engineering focus and is intended for a target audience working in extremely diverse fields of application (propagation phenomena, diffusion, hydrodynamics, electromechanics) in which the use of PDEs and ODEs is justified.

Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems

Author : Maciej Patan
Publisher : Springer
ISBN 13 : 364228230X
Total Pages : 300 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems by : Maciej Patan

Download or read book Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems written by Maciej Patan and published by Springer. This book was released on 2012-02-23 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensor networks have recently come into prominence because they hold the potential to revolutionize a wide spectrum of both civilian and military applications. An ingenious characteristic of sensor networks is the distributed nature of data acquisition. Therefore they seem to be ideally prepared for the task of monitoring processes with spatio-temporal dynamics which constitute one of most general and important classes of systems in modelling of the real-world phenomena. It is clear that careful deployment and activation of sensor nodes are critical for collecting the most valuable information from the observed environment. Optimal Sensor Network Scheduling in Identification of Distributed Parameter Systems discusses the characteristic features of the sensor scheduling problem, analyzes classical and recent approaches, and proposes a wide range of original solutions, especially dedicated for networks with mobile and scanning nodes. Both researchers and practitioners will find the case studies, the proposed algorithms, and the numerical examples to be invaluable.

International Conference on Advancements of Medicine and Health Care through Technology; 12th - 15th October 2016, Cluj-Napoca, Romania

Download International Conference on Advancements of Medicine and Health Care through Technology; 12th - 15th October 2016, Cluj-Napoca, Romania PDF Online Free

Author : Simona Vlad
Publisher : Springer
ISBN 13 : 3319528750
Total Pages : 371 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis International Conference on Advancements of Medicine and Health Care through Technology; 12th - 15th October 2016, Cluj-Napoca, Romania by : Simona Vlad

Download or read book International Conference on Advancements of Medicine and Health Care through Technology; 12th - 15th October 2016, Cluj-Napoca, Romania written by Simona Vlad and published by Springer. This book was released on 2017-03-15 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the contributions of the fifth International Conference on Advancements of Medicine and Health Care through Technology (Meditech 2016), held in in Cluj-Napoka, Romania. The papers of this Proceedings volume present new developments in - Health Care Technology, - Medical Devices, Measurement and Instrumentation, - Medical Imaging, Image and Signal Processing, - Modeling and Simulation, - Molecular Bioengineering, - Biomechanics.

Nonlinear System Identification

Author : Stephen A. Billings
Publisher : John Wiley & Sons
ISBN 13 : 1118535553
Total Pages : 611 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Nonlinear System Identification by : Stephen A. Billings

Download or read book Nonlinear System Identification written by Stephen A. Billings and published by John Wiley & Sons. This book was released on 2013-07-29 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.