Fuzzy Systems Modeling and Control

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, o...

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Bibliographic Details
Other Authors: Hung T. Nguyen (Editor), Sugeno, Michio (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 1998, 1998
Edition:1st ed. 1998
Series:The Handbooks of Fuzzy Sets
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Introduction: The Real Contribution of Fuzzy Systems
  • References
  • Methodology of Fuzzy Control
  • 1.1 Introduction: Why Fuzzy Control
  • 1.2 How to Translate Fuzzy Rules into the Actual Control: General Idea
  • 1.3 Membership Functions and Where They Come From
  • 1.4 Fuzzy Logical Operations
  • 1.5 Modeling Fuzzy Rule Bases
  • 1.6 Inference From Several Fuzzy Rules
  • 1.7 Defuzzification
  • 1.8 The Basic Steps of Fuzzy Control: Summary
  • 1.9 Tuning
  • 1.10 Methodologies of Fuzzy Control: Which Is The Best?
  • References
  • to Fuzzy Modeling
  • 2.1 Introduction
  • 2.2 Takagi-Sugeno Fuzzy Model
  • 2.3 Sugeno-Kang Method
  • 2.4 Sofia
  • 2.5 Conclusion
  • References
  • Fuzzy Rule-Based Models and Approximate Reasoning
  • 3.1 Introduction
  • 3.2 Linguistic Models
  • 3.3 Inference with Fuzzy Models
  • 3.4 Mamdani (Constructive) and Logical (Destructive) Models
  • 3.5 Linguistic Models With Crisp Outputs
  • 3.6 Multiple Variable Linguistic Models
  • 9.5 Fuzzy Neurocomputing — a Fusion of Fuzzy and Neural Technology
  • 9.6 Constructing Hybrid Neurofuzzy Systems
  • 9.7 Summary
  • References
  • Neural Networks and Fuzzy Logic
  • 10.1 Introduction
  • 10.2 Liquid Level Control Problem
  • 10.3 Fuzzy Rule Development
  • 10.4 Integrated System Architectures
  • 10.5 FNN3 Training Algorithm
  • 10.6 Conclusions
  • References
  • Fuzzy Genetic Algorithms
  • 11.1 Introduction
  • 11.2 What is a Genetic Algorithm?
  • 11.3 Fuzzy Genetic Algorithms
  • 11.4 Fuzzy Genetic Programming
  • References
  • Fuzzy Systems, Viability Theory and Toll Sets
  • 12.1 Introduction
  • 12.2 Convexification Procedures
  • 12.3 Toll Sets
  • 12.4 Fuzzy or Toll Differential Inclusions
  • References
  • Chaos and Fuzzy Systems
  • 13.1Introduction
  • 13.2 Preliminaries
  • 13.3 Dynamical Systems and Chaos
  • 13.4 Information Content of Fuzzy Sets
  • 13.5 Chaotic Mappings on (Dn, d?)
  • 13.6 r-Fuzzification.
  • 13.7 Chaos and Fuzzification
  • 5.2 Modal Equivalence Principle
  • 5.3 Application to PI Controllers
  • 5.4 Application to State Feedback Fuzzy Controllers
  • 5.5 Equivalence for Sugeno’s Controllers
  • 5.6 Conclusion
  • References
  • Designs of Fuzzy Controllers
  • 6.1 Introduction
  • 6.2 Fuzzy Control Techniques
  • 6.3 The FC as a Nonlinear Transfer Element
  • 6.4 Heuristic Control and Model Based Control
  • 6.5 Supervisory Control
  • 6.6 Adaptive Control
  • References
  • Stability of Fuzzy Controllers
  • 7.1 Introduction
  • 7.2 Stability Conditions Based on Lyapunov Approach
  • 7.3 Fuzzy Controller Design
  • References
  • Learning and Tuning of Fuzzy Rules
  • 8.1 Introduction
  • 8.2 Learning Fuzzy Rules
  • 8.3 Tuning Fuzzy Rules
  • 8.4 Learning and Tuning Fuzzy Rules
  • 8.5 Summary and Conclusion
  • References
  • Neurofuzzy Systems
  • 9.1 Introduction
  • 9.2 Synergy of Neural Networks and Fuzzy Logic
  • 9.3 Fuzzy sets in the technology of neurocomputing
  • 9.4 Hybrid Fuzzy Neural Computing Structures
  • 3.7 Takagi-Sugeno-Kang (TSK) Models
  • 3.8 A General View of Fuzzy Systems Modeling
  • 3.9 MICA Operators
  • 3.10 Aggregation in Fuzzy Systems Modeling
  • 3.11 Dynamic Fuzzy Systems Models
  • 3.12 TSK Models of Dynamic Systems
  • 3.13 Conclusion
  • References
  • Fuzzy Rule Based Modeling as a Universal Approximation Tool
  • 4.1 Introduction
  • 4.2 Main Universal Approximation Results
  • 4.3 Can We Guarantee That the Approximation Function has the Desired Properties (Such as Smoothness, Simplicity, Stability of the Resulting Control, etc.)?
  • 4.4 Auxiliary Approximation Results
  • 4.5 How to Make the Approximation Results More Realistic
  • 4.6 From All Fuzzy Rule Based Modeling Methodologies That are Universal Appriximation Tools, Which Methodology Should We Choose?
  • 4.7 A Natural Next Question: When Should We Choose Fuzzy Rule Based Modeling in the First Place? andWhen is, Say, Neural Modeling Better?
  • References
  • Fuzzy and Linear Controllers
  • 5.1 Introduction
  • 13.8 Nondegenerate Periodicities and Chaos
  • 13.9 Examples of Fuzzy Chaos
  • 13.10 Conclusion
  • 13.11 Appendix
  • References