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Introduction to Fuzzy Control Systems

General Information
Type.................: Ebook
Part Size............: 3,061,373 bytes

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Posted by............: ~tqw~

Release Notes
To keep pace with and further advance the rapidly developing field of applied
control technologies, engineers, both present and future, need some systematic
training in the analytic theory and rigorous design of fuzzy control systems.
Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems provides that
training by introducing a rigorous and complete fundamental theory of fuzzy sets
and fuzzy logic and then building a practical theory for automatic control of
uncertain and ill-modeled systems encountered in many engineering applications.
The authors proceed through basic fuzzy mathematics and fuzzy systems theory and
conclude with an exploration of some industrial application examples.

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

Product Details

* ISBN: 0849316588
* ISBN-13: 9780849316586
* Format: Hardcover, 328pp
* Publisher: CRC Press
* Pub. Date: November 2000

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