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Tables of Contents for Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems
Chapter/Section Title
Page #
Page Count
Fuzzy Set Theory
1
56
Classical Set Theory
1
4
Fundamental Concepts
1
2
Elementary Measure Theory of Sets
3
2
Fuzzy Set Theory
5
4
Interval Arithmetic
9
28
Fundamental Concepts
9
3
Interval Arithmetic
12
1
Algebraic Properties of Interval Arithmetic
13
4
Measure Theory of Intervals
17
3
Properties of the Width of an Interval
20
2
Interval Evaluation
22
3
Interval Matrix Operations
25
5
Interval Matrix Equations and Interval Matrix Inversion
30
7
Operations on Fuzzy Sets
37
20
Fuzzy Subsets
37
5
Fuzzy Numbers and Their Arithmetic
42
12
Problems
54
2
References
56
1
Fuzzy Logic Theory
57
32
Classical Logic Theory
58
4
Fundamental Concepts
58
3
Logical Functions of the Two-Valued Logic
61
1
The Boolean Algebra
62
3
Basic Operations of the Boolean Algebra
62
1
Basic Properties of the Boolean Algebra
63
2
Multi-Valued Logic
65
1
Three-Valued Logic
65
1
n-Valued Logic
65
1
Fuzzy Logic and Approximate Reasoning
66
3
Fuzzy Relations
69
6
Fuzzy Logic Rule Base
75
14
Fuzzy IF-THEN Rules
75
2
Fuzzy Logic Rule Base
77
3
Interpretation of Fuzzy IF-THEN Rules
80
2
Evaluation of Fuzzy IF-THEN Rules
82
2
Problems
84
3
References
87
2
Fuzzy System Modeling
89
50
Modeling of Static Fuzzy Systems
90
12
Fuzzy Logic Description of Input-Output Relations
90
6
Parameters Identification in Static Fuzzy Modeling
96
6
Discrete-Time Dynamic Fuzzy Systems and Their Stability Analysis
102
12
Dynamic Fuzzy Systems without Control
103
6
Dynamic Fuzzy Systems with Control
109
5
Modeling of Continuous-Time Dynamic Fuzzy Control Systems
114
10
Fuzzy Interval Partitioning
115
4
Dynamic Fuzzy System Modeling
119
5
Stability Analysis of Continuous-Time Dynamic Fuzzy Systems
124
5
Controllability Analysis of Continuous-Time Dynamic Fuzzy Systems
129
4
Analysis of Nonlinear Continuous-Time Dynamic Fuzzy Systems
133
6
Problems
136
2
References
138
1
Fuzzy Control Systems
139
44
Classical Programmable Logic Control
140
5
Fuzzy Logic Control (I): A General Model-Free Approach
145
25
A Closed-Loop Set-Point Tracking System
147
3
Design Principle of Fuzzy Logic Controllers
150
10
Examples of Model-Free Fuzzy Controller Design
160
10
Fuzzy Logic Control (II): A General Model-Based Approach
170
13
Problems
178
4
References
182
1
Fuzzy PID Controllers
183
56
Conventional PID Controllers: Design
183
9
Fuzzy PID Controllers Design
192
31
Fuzzy PD Controller
193
14
Fuzzy PI Controller
207
2
Fuzzy PI+D Controller
209
14
Fuzzy PID Controllers: Stability Analysis
223
16
BIBO Stability and the Small Gain Theorem
223
3
BIBO Stability of Fuzzy PD Control Systems
226
3
BIBO Stability of Fuzzy PI Control Systems
229
2
BIBO Stability of Fuzzy PI+D Control Systems
231
1
Graphical Stability Analysis of Fuzzy PID Control Systems
232
4
Problems
236
1
References
237
2
Adaptive Fuzzy Control
239
32
Fundamental Adaptive Fuzzy Control Concept
240
6
Operational Concepts
240
2
System Parameterization
242
1
Adjusting Mechanism
243
2
Guidelines for Selecting an Adaptive Fuzzy Controller
245
1
Gain Scheduling
246
6
Fuzzy Self-Tuning Regulator
252
3
Model Reference Adaptive Fuzzy Systems
255
2
Dual Control
257
1
Sub-Optimal Fuzzy Control
258
13
SISO Control Systems
259
1
MIMO Control Systems
260
6
Problems
266
3
References
269
2
Some Applications of Fuzzy Control
271
44
Health Monitoring Fuzzy Diagnostic Systems
271
10
Fuzzy Rule-Based Health Monitoring Expert Systems
272
4
Computer Simulations
276
1
Numerical Results
277
4
Fuzzy Control of Image Sharpness for Autofocus Cameras
281
10
Basic Image Processing Techniques
282
1
Fuzzy Control Model
283
3
Computer Simulation Results
286
5
Fuzzy Control for Servo Mechanic Systems
291
9
Fuzzy Modeling of a Servo Mechanic System
292
2
Fuzzy Controller of a Servo Mechanic System
294
1
Computer Simulations and Numerical Results
295
5
Fuzzy PID Controllers for Servo Mechanic Systems
300
2
Fuzzy PID Controller of a Servo Mechanic System
300
1
Adaptive Fuzzy Controller of a Servo Mechanic System
301
1
Fuzzy Controller for Robotic Manipulator
302
13
Fuzzy Modeling of a 2-Link Planar Manipulator
304
3
Fuzzy Controller of a 2-Link Planar Manipulator
307
1
Numerical Simulations
307
4
Problems
311
2
References
313
2
Index
315