Scientific Computing with MATLAB

Scientific Computing with MATLAB®, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor while expanding and updating the content of each chapter.\nThe book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.

Computers & Technology

Chen, YangQuan

Xue, Dingyü

Computer Science

Routledge

A discussion of analysis and design techniques for linear feedback control systems using MATLAB® software. By reducing the mathematics, increasing MATLAB working examples, and inserting short scripts and plots within the text, the authors have created a text suitable for almost any type of user. Suitable for beginners entering the field; for students who wish to bridge the gap between control theory and the use of MATLAB for control systems; and as a handy reference for practising engineers. The MATLAB companion package, CtrlLAB, allows readers to learn quickly while simply clicking through options with a mouse. Each chapter ends with a set of problems to help readers strengthen their understanding of the material. All example scripts within the book, as well as the CtrlLAB package, are freely downloadable from MATLAB Central, an open exchange for the MATLAB and Simulink® community (www.mathworks.com/matlabcentral/index.shtml).

Linear Feedback Control: Analysis and Design with MATLAB (Advances in Design and Control, Series Number 14)

Atherton, Derek P.

Society for Industrial and Applied Mathematics

This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.Fractional calculus is increasingly used today, but there remains a core population of skeptics regarding the utility of this "new" calculus. This book is intended for those who are skeptical about the need for fractional calculus to describe dynamic complex networks and must be convinced of its use on a case-by-case basis. It is a one-stop resource to rapidly read and replace the appropriate skepticism with new knowledge. It offers compelling reasons from the perspectives of the physical, social, and life sciences as to why fractional calculus is needed when addressing the complexity of an underlying STEM phenomenon. The six chapters are accompanied by useful and essential appendices and chapter-end references. Each includes new (fractional-order) ways of thinking about statistics, complexity dynamics, and what constitutes a solution to a complexity science problem.The book will appeal to students and researchers in all STEM-related fields, such as engineering, physics, biology and biomedicine, climate change, big data, and machine learning. It is also suitable for general readers interested in these fields.

Fractional Calculus for Skeptics I: The Fractal Paradigm (Fractional Order Thinking in Exploring the Frontiers of STEM)

Science & Math

West, Bruce J.

Mathematics

CRC-Press

Covering fractional order theory, simulation and experiments, this book explains how fractional order modelling and fractional order controller design compares favourably with traditional velocity and position control systems. The authors systematically compare the two approaches using applied fractional calculus. Stability theory in fractional order controllers design is also analysed. <ul>
<li> Presents material suitable for a variety of real-world applications, including hard disk drives, vehicular controls, robot control and micropositioners in DNA microarray analysis</li> <li>Includes extensive experimental results from both lab bench level tests and industrial level, mass-production-ready implementations</li> <li>Covers detailed derivations and numerical simulations for each case</li> <li>Discusses feasible design specifications, ideal for practicing engineers</li> </ul>
The book also covers key topics including: fractional order disturbance cancellation and adaptive learning control studies for external disturbances; optimization approaches for nonlinear system control and design schemes with backlash and friction. Illustrations and experimental validations are included for each of the proposed control schemes to enable readers to develop a clear understanding of the approaches covered, and move on to apply them in real-world scenarios.

Fractional Order Motion Controls

Luo, Ying

wiley

This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB®. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experience. They explain how to generate code suitable for various applications so that readers can apply the techniques to problems not covered in the book. Examples, figures, and MATLAB scripts enable readers with basic mathematics knowledge to solve various applied math problems in their fields while avoiding unnecessary technical details.

Solving Applied Mathematical Problems with MATLAB

Chapman and Hall/CRC

Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing: presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems; introduces FOSP techniques and the fractional signals and fractional systems point of view; details real-world-application examples of FOSP techniques to demonstrate their utility; and provides important background material on Mittag–Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB® codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to re-examine their signals and signal-processing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.

Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications (Signals and Communication Technology)

Sheng, Hu

Qiu, TianShuang

Springer

Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems

A successful cyber-physical system, a complex interweaving of hardware and software with some part of the physical environment, depends on proper identification of the, often pre-existing, physical element. A bespoke “cyber” part of the system may then be designed from scratch. Optimal Mobile Sensing and Actuation Strategies in Cyber-physical Systems focuses on distributed-parameter systems the dynamics of which can be modelled with partial differential equations. These are very challenging to observe, their states and inputs being distributed throughout a spatial domain. Consequently, systematic approaches to the optimization of sensor location have to be devised for parameter estimation. The text begins by reviewing the field of cyber-physical systems and introducing background notions of distributed parameter systems and optimal observation theory. New research problems are then defined within this framework. Two important problems considered are optimal mobile sensor trajectory planning and the accuracy effects and allocation of remote sensors. These are followed up with a solution to the problem of optimal robust estimation. Actuation policies are then introduced into the framework with the purpose of improving estimation and optimizing the trajectories of both sensors and actuators simultaneously. The large number of illustrations within the text will assist the reader to visualize the application of the methods proposed. A group of similar examples are used throughout the book to help the reader assimilate the material more easily. The monograph concentrates on the use of methods for which a cyber-physical-systems infrastructure is required. The methods are computationally heavy and require mobile sensors and actuators with communications abilities. Application examples cover fields from environmental science to national security so that readers are encouraged to link the ideas of cyber-physical systems with their own research.

Tricaud, Christophe

Networking & Cloud Computing

Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass? spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.

Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives (SpringerBriefs in Electrical and Computer Engineering: Control, Automation and Robotics)

Podlubny, Igor

Jiao, Zhuang

Reference

Fractional-order Systems and Controls: Fundamentals and Applications (Advances in Industrial Control)

Fractional-order Systems and Controls provides a basic understanding of FOC concepts and methods. Readers will learn the broad range of uses of FOC in control systems through a variety of real-world problems in fields like mechatronics, civil engineering and biological systems.

Vinagre, Blas M.

Feliu-Batlle, Vicente

Monje, Concepción A. A.

Incorporating a number of illustrations, this book focuses on distributed-parameter systems, the dynamics of which can be modelled with partial differential equations. Application examples cover fields ranging from environmental science to national security.

See the best price to sell, buy, or rent books by Chen, YangQuan. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Chen, YangQuan

See the best price to sell, buy, or rent books by Chen, YangQuan. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Scientific Computing with MATLAB

Linear Feedback Control: Analysis and Design with MATLAB (Advances in Design and Control, Series Number 14)

Fractional Calculus for Skeptics I: The Fractal Paradigm (Fractional Order Thinking in Exploring the Frontiers of STEM)

Fractional Order Motion Controls

Solving Applied Mathematical Problems with MATLAB

Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications (Signals and Communication Technology)

Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems

Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives (SpringerBriefs in Electrical and Computer Engineering: Control, Automation and Robotics)

Fractional-order Systems and Controls: Fundamentals and Applications (Advances in Industrial Control)

Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems