Fuzzy Set Theory | p. 1 |
Classical Set Theory | p. 1 |
Fundamental Concepts | p. 1 |
Elementary Measure Theory of Sets | p. 3 |
Fuzzy Set Theory | p. 5 |
Interval Arithmetic | p. 9 |
Fundamental Concepts | p. 9 |
Interval Arithmetic | p. 12 |
Algebraic Properties of Interval Arithmetic | p. 13 |
Measure Theory of Intervals | p. 17 |
Properties of the Width of an Interval | p. 20 |
Interval Evaluation | p. 22 |
Interval Matrix Operations | p. 25 |
Interval Matrix Equations and Interval Matrix Inversion | p. 30 |
Operations on Fuzzy Sets | p. 37 |
Fuzzy Subsets | p. 37 |
Fuzzy Numbers and Their Arithmetic | p. 42 |
Problems | p. 54 |
References | p. 56 |
Fuzzy Logic Theory | p. 57 |
Classical Logic Theory | p. 58 |
Fundamental Concepts | p. 58 |
Logical Functions of the Two-Valued Logic | p. 61 |
The Boolean Algebra | p. 62 |
Basic Operations of the Boolean Algebra | p. 62 |
Basic Properties of the Boolean Algebra | p. 63 |
Multi-Valued Logic | p. 65 |
Three-Valued Logic | p. 65 |
n-Valued Logic | p. 65 |
Fuzzy Logic and Approximate Reasoning | p. 66 |
Fuzzy Relations | p. 69 |
Fuzzy Logic Rule Base | p. 75 |
Fuzzy IF-THEN Rules | p. 75 |
Fuzzy Logic Rule Base | p. 77 |
Interpretation of Fuzzy IF-THEN Rules | p. 80 |
Evaluation of Fuzzy IF-THEN Rules | p. 82 |
Problems | p. 84 |
References | p. 87 |
Fuzzy System Modeling | p. 89 |
Modeling of Static Fuzzy Systems | p. 90 |
Fuzzy Logic Description of Input-Output Relations | p. 90 |
Parameters Identification in Static Fuzzy Modeling | p. 96 |
Discrete-Time Dynamic Fuzzy Systems and Their Stability Analysis | p. 102 |
Dynamic Fuzzy Systems without Control | p. 103 |
Dynamic Fuzzy Systems with Control | p. 109 |
Modeling of Continuous-Time Dynamic Fuzzy Control Systems | p. 114 |
Fuzzy Interval Partitioning | p. 115 |
Dynamic Fuzzy System Modeling | p. 119 |
Stability Analysis of Continuous-Time Dynamic Fuzzy Systems | p. 124 |
Controllability Analysis of Continuous-Time Dynamic Fuzzy Systems | p. 129 |
Analysis of Nonlinear Continuous-Time Dynamic Fuzzy Systems | p. 133 |
Problems | p. 136 |
References | p. 138 |
Fuzzy Control Systems | p. 139 |
Classical Programmable Logic Control | p. 140 |
Fuzzy Logic Control (I): A General Model-Free Approach | p. 145 |
A Closed-Loop Set-Point Tracking System | p. 147 |
Design Principle of Fuzzy Logic Controllers | p. 150 |
Examples of Model-Free Fuzzy Controller Design | p. 160 |
Fuzzy Logic Control (II): A General Model-Based Approach | p. 170 |
Problems | p. 178 |
References | p. 182 |
Fuzzy PID Controllers | p. 183 |
Conventional PID Controllers: Design | p. 183 |
Fuzzy PID Controllers Design | p. 192 |
Fuzzy PD Controller | p. 193 |
Fuzzy PI Controller | p. 207 |
Fuzzy PI+D Controller | p. 209 |
Fuzzy PID Controllers: Stability Analysis | p. 223 |
BIBO Stability and the Small Gain Theorem | p. 223 |
BIBO Stability of Fuzzy PD Control Systems | p. 226 |
BIBO Stability of Fuzzy PI Control Systems | p. 229 |
BIBO Stability of Fuzzy PI+D Control Systems | p. 231 |
Graphical Stability Analysis of Fuzzy PID Control Systems | p. 232 |
Problems | p. 236 |
References | p. 237 |
Adaptive Fuzzy Control | p. 239 |
Fundamental Adaptive Fuzzy Control Concept | p. 240 |
Operational Concepts | p. 240 |
System Parameterization | p. 242 |
Adjusting Mechanism | p. 243 |
Guidelines for Selecting an Adaptive Fuzzy Controller | p. 245 |
Gain Scheduling | p. 246 |
Fuzzy Self-Tuning Regulator | p. 252 |
Model Reference Adaptive Fuzzy Systems | p. 255 |
Dual Control | p. 257 |
Sub-Optimal Fuzzy Control | p. 258 |
SISO Control Systems | p. 259 |
MIMO Control Systems | p. 260 |
Problems | p. 266 |
References | p. 269 |
Some Applications of Fuzzy Control | p. 271 |
Health Monitioring Fuzzy Diagnostic Systems | p. 271 |
Fuzzy Rule-Based Health Monitoring Expert Systems | p. 272 |
Computer Simulations | p. 276 |
Numerical Results | p. 277 |
Fuzzy Control of Image Sharpness for Autofocus Cameras | p. 281 |
Basic Image Processing Techniques | p. 282 |
Fuzzy Control Model | p. 283 |
Computer Simulation Results | p. 286 |
Fuzzy Control for Servo Mechanic Systems | p. 291 |
Fuzzy Modeling of a Servo Mechanic System | p. 292 |
Fuzzy Controller of a Servo Mechanic System | p. 294 |
Computer Simulations and Numerical Results | p. 295 |
Fuzzy PID Controllers for Servo Mechanic Systems | p. 300 |
Fuzzy PID Controller of a Servo Mechanic System | p. 300 |
Adaptive Fuzzy Controller of a Servo Mechanic System | p. 301 |
Fuzzy Controller for Robotic Manipulator | p. 302 |
Fuzzy Modeling of a 2-Link Planar Manipulator | p. 304 |
Fuzzy Controller of a 2-Link Planar Manipulator | p. 307 |
Numerical Simulations | p. 307 |
Problems | p. 311 |
References | p. 313 |
Index | p. 315 |
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