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*******************************************************************************<br /> Introduction to Fuzzy Control Systems<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 3,061,373 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> To keep pace with and further advance the rapidly developing field of applied <br /> control technologies, engineers, both present and future, need some systematic <br /> training in the analytic theory and rigorous design of fuzzy control systems. <br /> Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems provides that <br /> training by introducing a rigorous and complete fundamental theory of fuzzy sets <br /> and fuzzy logic and then building a practical theory for automatic control of <br /> uncertain and ill-modeled systems encountered in many engineering applications. <br /> The authors proceed through basic fuzzy mathematics and fuzzy systems theory and <br /> conclude with an exploration of some industrial application examples.<br /> <br /> Table of Contents<br /> 1. Fuzzy Set Theory 1<br /> I. Classical Set Theory 1<br /> A. Fundamental Concepts 1<br /> B. Elementary Measure Theory of Sets 3<br /> II. Fuzzy Set Theory 5<br /> III. Interval Arithmetic 9<br /> A. Fundamental Concepts 9<br /> B. Interval Arithmetic 12<br /> C. Algebraic Properties of Interval Arithmetic 13<br /> D. Measure Theory of Intervals 17<br /> E. Properties of the Width of an Interval 20<br /> F. Interval Evaluation 22<br /> G. Interval Matrix Operations 25<br /> H. Interval Matrix Equations and Interval Matrix Inversion 30<br /> IV. Operations on Fuzzy Sets 37<br /> A. Fuzzy Subsets 37<br /> B. Fuzzy Numbers and Their Arithmetic 42<br /> Problems 54<br /> References 56<br /> 2. Fuzzy Logic Theory 57<br /> I. Classical Logic Theory 58<br /> A. Fundamental Concepts 58<br /> B. Logical Functions of the Two-Valued Logic 61<br /> II. The Boolean Algebra 62<br /> A. Basic Operations of the Boolean Algebra 62<br /> B. Basic Properties of the Boolean Algebra 63<br /> III. Multi-Valued Logic 65<br /> A. Three-Valued Logic 65<br /> B. n-Valued Logic 65<br /> IV. Fuzzy Logic and Approximate Reasoning 66<br /> V. Fuzzy Relations 69<br /> VI. Fuzzy Logic Rule Base 75<br /> A. Fuzzy IF-THEN Rules 75<br /> B. Fuzzy Logic Rule Base 77<br /> C. Interpretation of Fuzzy IF-THEN Rules 80<br /> D. Evaluation of Fuzzy IF-THEN Rules 82<br /> Problems 84<br /> References 87<br /> 3. Fuzzy System Modeling 89<br /> I. Modeling of Static Fuzzy Systems 90<br /> A. Fuzzy Logic Description of Input-Output Relations 90<br /> B. Parameters Identification in Static Fuzzy Modeling 96<br /> II. Discrete-Time Dynamic Fuzzy Systems and Their Stability Analysis <br /> 102<br /> A. Dynamic Fuzzy Systems without Control 103<br /> B. Dynamic Fuzzy Systems with Control 109<br /> III. Modeling of Continuous-Time Dynamic Fuzzy Control Systems 114<br /> A. Fuzzy Interval Partitioning 115<br /> B. Dynamic Fuzzy System Modeling 119<br /> IV. Stability Analysis of Continuous-Time Dynamic Fuzzy Systems 124<br /> V. Controllability Analysis of Continuous-Time Dynamic Fuzzy Systems <br /> 129<br /> VI. Analysis of Nonlinear Continuous-Time Dynamic Fuzzy Systems 133<br /> Problems 136<br /> References 138<br /> 4. Fuzzy Control Systems 139<br /> I. Classical Programmable Logic Control 140<br /> II. Fuzzy Logic Control (I): A General Model-Free Approach 145<br /> A. A Closed-Loop Set-Point Tracking System 147<br /> B. Design Principle of Fuzzy Logic Controllers 150<br /> C. Examples of Model-Free Fuzzy Controller Design 160<br /> III. Fuzzy Logic Control (II): A General Model-Based Approach 170<br /> Problems 178<br /> References 182<br /> 5. Fuzzy PID Controllers 183<br /> I. Conventional PID Controllers: Design 183<br /> II. Fuzzy PID Controllers Design 192<br /> A. Fuzzy PD Controller 193<br /> B. Fuzzy PI Controller 207<br /> C. Fuzzy PI+D Controller 209<br /> III. Fuzzy PID Controllers: Stability Analysis 223<br /> A. BIBO Stability and the Small Gain Theorem 223<br /> B. BIBO Stability of Fuzzy PD Control Systems 226<br /> C. BIBO Stability of Fuzzy PI Control Systems 229<br /> D. BIBO Stability of Fuzzy PI+D Control Systems 231<br /> E. Graphical Stability Analysis of Fuzzy PID Control Systems 232<br /> Problems 236<br /> References 237<br /> 6. Adaptive Fuzzy Control 239<br /> I. Fundamental Adaptive Fuzzy Control Concept 240<br /> A. Operational Concepts 240<br /> B. System Parameterization 242<br /> C. Adjusting Mechanism 243<br /> D. Guidelines for Selecting an Adaptive Fuzzy Controller 245<br /> II. Gain Scheduling 246<br /> III. Fuzzy Self-Tuning Regulator 252<br /> IV. Model Reference Adaptive Fuzzy Systems 255<br /> V. Dual Control 257<br /> VI. Sub-Optimal Fuzzy Control 258<br /> A. SISO Control Systems 259<br /> B. MIMO Control Systems 260<br /> Problems 266<br /> References 269<br /> 7. Some Applications of Fuzzy Control 271<br /> I. Health Monitioring Fuzzy Diagnostic Systems 271<br /> A. Fuzzy Rule-Based Health Monitoring Expert Systems 272<br /> B. Computer Simulations 276<br /> C. Numerical Results 277<br /> II. Fuzzy Control of Image Sharpness for Autofocus Cameras 281<br /> A. Basic Image Processing Techniques 282<br /> B. Fuzzy Control Model 283<br /> C. Computer Simulation Results 286<br /> III. Fuzzy Control for Servo Mechanic Systems 291<br /> A. Fuzzy Modeling of a Servo Mechanic System 292<br /> B. Fuzzy Controller of a Servo Mechanic System 294<br /> C. Computer Simulations and Numerical Results 295<br /> IV. Fuzzy PID Controllers for Servo Mechanic Systems 300<br /> A. Fuzzy PID Controller of a Servo Mechanic System 300<br /> B. Adaptive Fuzzy Controller of a Servo Mechanic System 301<br /> V. Fuzzy Controller for Robotic Manipulator 302<br /> A. Fuzzy Modeling of a 2-Link Planar Manipulator 304<br /> B. Fuzzy Controller of a 2-Link Planar Manipulator 307<br /> C. Numerical Simulations 307<br /> Problems 311<br /> References 313<br /> Index 315<br /> <br /> Product Details<br /> <br /> * ISBN: 0849316588<br /> * ISBN-13: 9780849316586<br /> * Format: Hardcover, 328pp<br /> * Publisher: CRC Press<br /> * Pub. Date: November 2000<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader