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Preface | p. v |
Table of Contents | p. ix |
Fuzzy Set Theory | p. 1 |
Classical Set Theory | p. 1 |
Fuzzy Set Theory | p. 5 |
Interval Arithmetic | p. 9 |
Some Fundamental Concepts | p. 10 |
Interval Arithmetic | p. 11 |
Algebraic Properties of Interval Arithmetic | p. 14 |
Interval Evaluation | p. 17 |
Operations on Fuzzy Sets | p. 21 |
Fuzzy Sets and [alpha] Cuts | p. 21 |
Arithmetic of Fuzzy Sets | p. 22 |
Problems | p. 37 |
Fuzzy Logic Theory | p. 39 |
Classical Logic Theory | p. 40 |
Fundamental Concepts | p. 40 |
Logical Functions of the Two-Valued Logic | p. 41 |
The Boolean Algebra | p. 43 |
Basic Operations of the Boolean Algebra | p. 43 |
Basic Properties of the Boolean Algebra | p. 43 |
Multi-Valued Logic | p. 46 |
The Three-Valued Logic | p. 46 |
The n-Valued Logic | p. 46 |
Fuzzy Logic and Approximate Reasoning | p. 47 |
Fuzzy Relations | p. 51 |
Problems | p. 58 |
Some Applications of Fuzzy Logic | p. 61 |
Product Quality Evaluation | p. 61 |
Decision Making for Investment | p. 64 |
Performance Evaluation | p. 66 |
Problem Formulation | p. 66 |
Performance Evaluation Formula | p. 69 |
Miscellaneous Examples | p. 73 |
Problems | p. 88 |
Fuzzy Rule Base and Fuzzy Modeling | p. 89 |
Fuzzy Rule Base | p. 89 |
Fuzzy IF-THEN Rules | p. 89 |
Fuzzy Logic Rule Base | p. 91 |
Fuzzy IF-THEN Rule Base as a Mathematical Model | p. 96 |
Evaluation of Fuzzy IF-THEN Rules | p. 98 |
Fuzzy Modeling | p. 99 |
Basic Concept of System Modeling | p. 100 |
Modeling of Static Fuzzy Systems | p. 101 |
Parameters Identification in Static Fuzzy Modeling | p. 108 |
Discrete-Time Dynamic Fuzzy Systems Stability | p. 115 |
Dynamic Fuzzy Systems without Control | p. 116 |
Dynamic Fuzzy Systems with Control | p. 119 |
Problems | p. 124 |
Fuzzy Control Systems | p. 125 |
Classical Programmable Logic Control | p. 126 |
Fuzzy Logic Control: A General Model-Free Approach | p. 138 |
Closed-Loop Set-Point Tracking System | p. 138 |
Design Principle of Fuzzy Logic Controllers | p. 141 |
Examples of Model-Free Fuzzy Controller Design | p. 155 |
Problems | p. 168 |
Fuzzy PID Control Systems | p. 171 |
Conventional PID Controllers | p. 171 |
Fuzzy PID Controllers (Type 1) | p. 179 |
Discretization of PID Controllers | p. 179 |
Designing Type-1 Fuzzy PID Controllers | p. 183 |
Two Examples | p. 184 |
Fuzzy PID Controllers (Type 2) | p. 190 |
Designing Type-2 Fuzzy PD Controller | p. 192 |
Designing Type-2 Fuzzy PI Controller | p. 207 |
Designing Type-2 Fuzzy PI+D Controller | p. 209 |
Fuzzy PID Controllers: Stability Analysis | p. 225 |
BIBO Stability and the Small Gain Theorem | p. 226 |
BIBO Stability of Fuzzy PD Control Systems | p. 230 |
BIBO Stability of Fuzzy PI Control Systems | p. 233 |
BIBO Stability of Fuzzy PI+D Control Systems | p. 236 |
Graphical Stability Analysis of Fuzzy PID Control Systems | p. 237 |
Problems | p. 242 |
Computational Verb Fuzzy Controllers | p. 245 |
Computational Verbs and Verb Numbers | p. 245 |
Fundamental Concepts | p. 246 |
Computational Verb Numbers | p. 248 |
Verb Similarity | p. 249 |
Verb Rules and Verb Inference | p. 250 |
Verb Inference with a Single Verb Rule | p. 250 |
Verb Inference with a Verb Algorithm | p. 253 |
Deverbification: Reconstruct Computational Verbs from Similarity Functions | p. 255 |
Computational Verb-Based Fuzzy PID Controllers | p. 255 |
Fuzzy Gain Schedulers | p. 257 |
From Fuzzy Control Rules to Verb-Based Control Rules | p. 259 |
Constructing Verb Rules for Tuning the Gain K[subscript p] from Phase Plots | p. 262 |
Constructing Verb Rules for Tuning the Gain K[subscript d] from Phase Plots | p. 266 |
Constructing Verb Rules for Tuning the Gain [gamma] from Phase Plots | p. 268 |
Implementing the Verb-based P-controller | p. 268 |
Implementing the Verb-based P-controller for a Second-Order Plant | p. 272 |
Problems | p. 286 |
References | p. 289 |
Solutions | p. 291 |
Index | p. 313 |
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