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...
Other Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer US
1998, 1998
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Edition: | 1st ed. 1998 |
Series: | The Handbooks of Fuzzy Sets
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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