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Fuzzy Chaotic Systems

Fuzzy Chaotic Systems
Author: Zhong Li
Publisher: Springer
Total Pages: 300
Release: 2006-08-02
Genre: Computers
ISBN: 3540332219
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This book presents the fundamental concepts of fuzzy logic and fuzzy control, chaos theory and chaos control. It also provides a definition of chaos on the metric space of fuzzy sets. The book raises many questions and generates a great potential to attract more attention to combine fuzzy systems with chaos theory. In this way it contains important seeds for future scientific research and engineering applications.

Integration of Fuzzy Logic and Chaos Theory

Integration of Fuzzy Logic and Chaos Theory
Author: Zhong Li
Publisher: Springer
Total Pages: 620
Release: 2008-07-21
Genre: Technology & Engineering
ISBN: 3540325026
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The 1960s were perhaps a decade of confusion, when scientists faced d- culties in dealing with imprecise information and complex dynamics. A new set theory and then an in?nite-valued logic of Lot? A. Zadeh were so c- fusing that they were called fuzzy set theory and fuzzy logic; a deterministic system found by E. N. Lorenz to have random behaviours was so unusual that it was lately named a chaotic system. Just like irrational and imaginary numbers, negative energy, anti-matter, etc., fuzzy logic and chaos were gr- ually and eventually accepted by many, if not all, scientists and engineers as fundamental concepts, theories, as well as technologies. In particular, fuzzy systems technology has achieved its maturity with widespread applications in many industrial, commercial, and technical ?elds, ranging from control, automation, and arti?cial intelligence to image/signal processing,patternrecognition,andelectroniccommerce.Chaos,ontheother hand,wasconsideredoneofthethreemonumentaldiscoveriesofthetwentieth century together with the theory of relativity and quantum mechanics. As a very special nonlinear dynamical phenomenon, chaos has reached its current outstanding status from being merely a scienti?c curiosity in the mid-1960s to an applicable technology in the late 1990s. Finding the intrinsic relation between fuzzy logic and chaos theory is certainlyofsigni?cantinterestandofpotentialimportance.Thepast20years have indeed witnessed some serious explorations of the interactions between fuzzylogicandchaostheory,leadingtosuchresearchtopicsasfuzzymodeling of chaotic systems using Takagi–Sugeno models, linguistic descriptions of chaotic systems, fuzzy control of chaos, and a combination of fuzzy control technology and chaos theory for various engineering practices.

Fuzzy Control Systems Design and Analysis

Fuzzy Control Systems Design and Analysis
Author: Kazuo Tanaka
Publisher: John Wiley & Sons
Total Pages: 321
Release: 2004-04-07
Genre: Science
ISBN: 0471465224
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A comprehensive treatment of model-based fuzzy control systems This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications. Issues that have not been fully treated in existing texts, such as stability analysis, systematic design, and performance analysis, are crucial to the validity and applicability of fuzzy control methodology. Fuzzy Control Systems Design and Analysis addresses these issues in the framework of parallel distributed compensation, a controller structure devised in accordance with the fuzzy model. This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.

Fuzzy Systems

Fuzzy Systems
Author: Hung T. Nguyen
Publisher: Springer Science & Business Media
Total Pages: 532
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461555051
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The analysis and control of complex systems have been the main motivation for the emergence of fuzzy set theory since its inception. It is also a major research field where many applications, especially industrial ones, have made fuzzy logic famous. This unique handbook is devoted to an extensive, organized, and up-to-date presentation of fuzzy systems engineering methods. The book includes detailed material and extensive bibliographies, written by leading experts in the field, on topics such as: Use of fuzzy logic in various control systems. Fuzzy rule-based modeling and its universal approximation properties. Learning and tuning techniques for fuzzy models, using neural networks and genetic algorithms. Fuzzy control methods, including issues such as stability analysis and design techniques, as well as the relationship with traditional linear control. Fuzzy sets relation to the study of chaotic systems, and the fuzzy extension of set-valued approaches to systems modeling through the use of differential inclusions. Fuzzy Systems: Modeling and Control is part of The Handbooks of Fuzzy Sets Series. The series provides a complete picture of contemporary fuzzy set theory and its applications. This volume is a key reference for systems engineers and scientists seeking a guide to the vast amount of literature in fuzzy logic modeling and control.

From Physics to Control Through an Emergent View

From Physics to Control Through an Emergent View
Author: Luigi Fortuna
Publisher: World Scientific
Total Pages: 395
Release: 2010
Genre: Science
ISBN: 9814313157
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Pt. F. Microfluidics : theory, methods and applications. Moving boundary problems for the BGK model of rarefied gas dynamics / G. Russo. Experimental investigation on parameters for the control of droplets dynamics / F. Sapuppo, F. Schembri and M. Bucolo. Rapid prototyping of Thiolene microfluidic chips / G. Mistura ... [et al.]. Development integrated inductive sensors for magnetic immunoassay in "lab on chip" devices / B. Ando ... [et al.] -- pt. G. Mathematical modelling of dynamic systems for volcano physics. Wavelet multi-resolution analysis for the local separation of microgravity anomalies at Etna volcano / F. Greco ... [et al.]. Integrated inversion of numerical geophysical models using artificial neural networks / A. Di Stefano ... [et al.]. SPH modeling of lava flows with GPU implementation / A. Herault ... [et al.]. 3D dynamic model for channeled model flows with nonlinear rheology / M. Filippucci, A. Tallarico and M. Dragoni. Clustering of infrasonic events as tool to detect and locate explosive activity at Mt. Etna volcano / P. Montalto ... [et al.]. Lava flow susceptibility map of Mt. Etna based on numerical simulations / A. Cappello, C. Del Negro and A. Vicari. Automated detection and analysis of volcanic thermal anomalies through the combined use of SEVIRI and MODIS / G. Ganci ... [et al.]. Modeling volcanomagnetic dynamics by recurrent least-square support vector machines / S. Jankowski ... [et al.] -- pt. H. Geometric control for quantum and classical models.

Controlling Chaos

Controlling Chaos
Author: Huaguang Zhang
Publisher: Springer Science & Business Media
Total Pages: 357
Release: 2009-06-18
Genre: Technology & Engineering
ISBN: 1848825234
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Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems. This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.

Fractional Order Control and Synchronization of Chaotic Systems

Fractional Order Control and Synchronization of Chaotic Systems
Author: Ahmad Taher Azar
Publisher: Springer
Total Pages: 873
Release: 2017-02-27
Genre: Technology & Engineering
ISBN: 3319502492
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The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.

Advances and Applications in Chaotic Systems

Advances and Applications in Chaotic Systems
Author: Sundarapandian Vaidyanathan
Publisher: Springer
Total Pages: 599
Release: 2016-03-22
Genre: Technology & Engineering
ISBN: 3319302795
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This book reports on the latest advances and applications of chaotic systems. It consists of 25 contributed chapters by experts who are specialized in the various topics addressed in this book. The chapters cover a broad range of topics of chaotic systems such as chaos, hyperchaos, jerk systems, hyperjerk systems, conservative and dissipative systems, circulant chaotic systems, multi-scroll chaotic systems, finance chaotic system, highly chaotic systems, chaos control, chaos synchronization, circuit realization and applications of chaos theory in secure communications, mobile robot, memristors, cellular neural networks, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in chaos theory. This book will serve as a reference book for graduate students and researchers with a basic knowledge of chaos theory and control systems. The resulting design procedures on the chaotic systems are emphasized using MATLAB software.

14th International Conference on Theory and Application of Fuzzy Systems and Soft Computing – ICAFS-2020

14th International Conference on Theory and Application of Fuzzy Systems and Soft Computing – ICAFS-2020
Author: Rafik A. Aliev
Publisher: Springer Nature
Total Pages: 850
Release: 2021-01-04
Genre: Technology & Engineering
ISBN: 3030640582
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This book presents the proceedings of the 14th International Conference on Applications of Fuzzy Systems, Soft Computing, and Artificial Intelligence Tools, ICAFS-2020, held in Budva, Montenegro, on August 27–28, 2020. It includes contributions from diverse areas of fuzzy systems, soft computing, AI tools such as uncertain computation, decision making under imperfect information, deep learning and others. The topics of the papers include theory and application of soft computing, neuro-fuzzy technology, intelligent control, deep learning–machine learning, fuzzy logic in data analytics, evolutionary computing, fuzzy logic and artificial intelligence in engineering, social sciences, business, economics, material sciences and others.