Rafael Martinez-Guerra's Books

Fault Detection and Diagnosis in Nonlinear Systems

A Differential and Algebraic Viewpoint

By: Rafael Martinez-Guerra,Juan Luis Mata-Machuca

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Fault Detection and Diagnosis in Nonlinear Systems

A Differential and Algebraic Viewpoint

By: Rafael Martinez-Guerra,Juan Luis Mata-Machuca

The high reliability required in industrial processes has created the necessity of detecting abnormal conditions, called faults, while processes are operating. The term fault generically refers to any type of process degradation, or degradation in equipment performance because of changes in the process's physical characteristics, process inputs or environmental conditions. This book is about the fundamentals of fault detection and diagnosis in a variety of nonlinear systems which are represented by ordinary differential equations. The fault detection problem is approached from a differential algebraic viewpoint, using residual generators based upon high-gain nonlinear auxiliary systems (‘observers’). A prominent role is played by the type of mathematical tools that will be used, requiring knowledge of differential algebra and differential equations. Specific theorems tailored to the needs of the problem-solving procedures are developed and proved. Applications to real-world problems, both with constant and time-varying faults, are made throughout the book and include electromechanical positioning systems, the Continuous Stirred Tank Reactor (CSTR), bioreactor models and belt drive systems, to name but a few.

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Page Count

143

Publisher

Springer

Published Date

ISBN 10

3319030477

ISBN 13

9783319030470

An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem

By: Rafael Martínez-Guerra,Juan Pablo Flores-Flores

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An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem

By: Rafael Martínez-Guerra,Juan Pablo Flores-Flores

This book addresses the problem of multi-agent systems, considering that it can be interpreted as a generalized multi-synchronization problem. From manufacturing tasks, through encryption and communication algorithms, to high-precision experiments, the simultaneous cooperation between multiple systems or agents is essential to successfully carrying out different modern activities, both in academy and industry. For example, the coordination of multiple assembler robots in manufacturing lines. These agents need to synchronize. The first two chapters of the book describe the synchronization of dynamical systems, paying special attention to the synchronization of non-identical systems. Following, the third chapter presents an interesting application of the synchronization phenomenon for state estimation. Subsequently, the authors fully address the multi-agent problem interpreted as multi-synchronization. The final chapters introduce the reader to a more complex problem, the synchronization of systems governed by partial differential equations, both of integer and fractional order. The book aimed at graduates, postgraduate students and researchers closely related to the area of automatic control. Previous knowledge of linear algebra, classical and fractional calculus is requested, as well as some fundamental notions of graph theory.

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Page Count

222

Publisher

Springer Nature

Published Date

ISBN 10

3031226690

ISBN 13

9783031226694

Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus

By: Rafael Martínez-Guerra,Juan Javier Montesinos-García,Juan Pablo Flores-Flores

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Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus

By: Rafael Martínez-Guerra,Juan Javier Montesinos-García,Juan Pablo Flores-Flores

This book offers an alternative for encrypting and decrypting messages using objects called integer and fractional-order estimators or observers, by means of security codes. The authors first establish the class of observers capable of carrying out this work. Then, the type of observers to treat either the integer or fractional order type and their main characteristics is mentioned. The book also presents an essential property of some systems such as Liouville, which is vital for the encryption and decryption of messages in integer and fractional order nonlinear systems by using the synchronization property of chaotic systems. Finally, it addresses some logistic maps such as Mandelbrot sets including Julia and fractal sets, taking advantage of their characteristics to encrypt or recover messages.

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Page Count

252

Publisher

Springer Nature

Published Date

ISBN 10

3031206983

ISBN 13

9783031206986

Synchronization of Integral and Fractional Order Chaotic Systems

A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time

By: Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gian Carlo Gómez-Cortés

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Synchronization of Integral and Fractional Order Chaotic Systems

A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time

By: Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gian Carlo Gómez-Cortés

This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest.

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Page Count

264

Publisher

Springer

Published Date

ISBN 10

331915284X

ISBN 13

9783319152844

Book's by Rafael Martinez-Guerra

Fault Detection and Diagnosis in Nonlinear Systems

Fault Detection and Diagnosis in Nonlinear Systems

An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem

An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem

Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus

Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus

Synchronization of Integral and Fractional Order Chaotic Systems

Synchronization of Integral and Fractional Order Chaotic Systems

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