Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, Diversity and Non-integer Derivation Applied to System Dynamics provides a study framework to the introduction of the non-integer derivative as a modeling tool. Modeling tools that highlight unsuspected dynamical performances (notably damping performances) in an "integer" approach of mechanics and automation are also included. Written to enable a two-tier reading, this is an essential resource for scientists, researchers, and industrial engineers interested in this subject area. Table of Contents: 1. From Diversity to Unexpected Dynamic Performance. 2. The Robustness of Damping. 3. Fractional Differentiation and its Memory. 4. CRONE Suspension Idea. 5. CRONE Control Idea
In order to ensure a pedagogical presentation of the fundamentals, this book, which is based on 45 years of experience, endeavors to identify the main principles of the control scheme and its dynamics. The control loop is extensively developed because of the reference it constitutes in control. By establishing the control loop as equivalent to any other control or, more precisely, by making an elementary control loop appear, it becomes possible to reveal a part of this loop in other controls and, thanks to its regulator, qualitatively evaluate the control strategy. A comparative analysis then shows that the complexification of the control scheme does not necessarily go hand in hand with a better control strategy and therefore a better performance. Since robustness results from innovations in terms of performance desensitization, the CRONE control is presented, in view of the genuine domains of uncertainty taken into account and the small number of parameters to be optimized. The educational nature of this book is enhanced by numerous solved problems that develop examples of synthesis of different controls. Control in System Dynamics is intended for a very wide audience, including engineers, researchers, teachers and students hoping to expand their knowledge of control and dynamics in automatic control.
This book provides an overview of the research done and results obtained during the last ten years in the fields of fractional systems control, fractional PI and PID control, robust and CRONE control, and fractional path planning and path tracking. Coverage features theoretical results, applications and exercises. The book will be useful for post-graduate students who are looking to learn more on fractional systems and control. In addition, it will also appeal to researchers from other fields interested in increasing their knowledge in this area.
Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or disparate in a single theoretical framework, but it also promotes a return to graphical treatment, which had been almost completely banished from scientific thought in favor of analysis. This book casts a new, lively light on scientific territories still not fully explored. It is designed for research workers, engineers, and experimentalists faced with problems of measure and action in heterogenous materials and environments. Several color plates illustrate the implications and consequences of this theory for most of the questions raised by the taking into consideration of time in a fractal space.
The objective of the book is to provide all the elements to evaluate the performance of production availability and reliability of a system, to integrate them and to manage them in its life cycle. By the examples provided (case studies) the main target audience is that of the petroleum industries (where I spent most of my professional years). Although the greatest rigor is applied in the presentation, and justification, concepts, methods and data this book is geared towards the user.
In order to ensure a pedagogical presentation of the fundamentals, this book, which is based on 45 years of experience, endeavors to identify the main principles of the control scheme and its dynamics. The control loop is extensively developed because of the reference it constitutes in control. By establishing the control loop as equivalent to any other control or, more precisely, by making an elementary control loop appear, it becomes possible to reveal a part of this loop in other controls and, thanks to its regulator, qualitatively evaluate the control strategy. A comparative analysis then shows that the complexification of the control scheme does not necessarily go hand in hand with a better control strategy and therefore a better performance. Since robustness results from innovations in terms of performance desensitization, the CRONE control is presented, in view of the genuine domains of uncertainty taken into account and the small number of parameters to be optimized. The educational nature of this book is enhanced by numerous solved problems that develop examples of synthesis of different controls. Control in System Dynamics is intended for a very wide audience, including engineers, researchers, teachers and students hoping to expand their knowledge of control and dynamics in automatic control.
This book provides an overview of the research done and results obtained during the last ten years in the fields of fractional systems control, fractional PI and PID control, robust and CRONE control, and fractional path planning and path tracking. Coverage features theoretical results, applications and exercises. The book will be useful for post-graduate students who are looking to learn more on fractional systems and control. In addition, it will also appeal to researchers from other fields interested in increasing their knowledge in this area.
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