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A Course in Fuzzy Systems and Control cover
  • ISBN: 9780135408827
  • ISBN10: 0135408822

A Course in Fuzzy Systems and Control

by Li-Xin Wang

  • List Price: $101.00
  • Binding: Paperback
  • Edition: 1
  • Publisher: Prentice Hall
  • Publish date: 08/01/1996
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1. Introduction. Why Fuzzy Systems? What Are Fuzzy Systems? Where Are Fuzzy Systems Used and How? What Are the Major Research Fields in Fuzzy Theory? A Brief History of Fuzzy Theory and Applications. Summary and Further Readings. Exercises. I. THE MATHEMATICS OF FUZZY SYSTEMS AND CONTROL. 2. Fuzzy Sets and Basic Operations on Fuzzy Sets. From Classical Sets to Fuzzy Sets. Basic Concepts Associated with A Fuzzy Set. Operations on Fuzzy Sets. Summary and Further Readings. Exercises. 3. Further Operations on Fuzzy Sets. Fuzzy Complement. Fuzzy Union - The S-Norms. Fuzzy Intersection - The T-Norms. Averaging Operators. Summary and Further Readings. Exercises. 4. Fuzzy Relations and the Extension Principle. From Classical Relations to Fuzzy Relations. Compositions of Fuzzy Relations. The Extension Principle. Summary and Further Readings. Exercises. 5. Linguistic Variables and Fuzzy IF-THEN Rules. From Numerical Variables to Linguistic Variables. Linguistic Hedges. Fuzzy IF-THEN Rules. Summary and Further Readings. Exercises. 6. Fuzzy Logic and Approximate Reasoning. From Classical Logic to Fuzzy Logic. The Compositional Rule of Inference. Properties of the Implication Rules. Summary and Further Readings. Exercises. II. FUZZY SYSTEMS AND THEIR PROPERTIES. 7. Fuzzy Rule Base and Fuzzy Inference Engine. Fuzzy Rule Base. Fuzzy Inference Engine. Summary and Further Readings. Exercises. 8. Fuzzifiers and Defuzzifiers. Fuzzifiers. Defuzzifiers. Summary and Further Readings. Exercises. 9. Fuzzy Systems as Nonlinear Mappings. The Formulas of Some Classes of Fuzzy Systems. Fuzzy Systems As Universal Approximators. Summary and Further Readings. Exercises. 10. Approximation Properties of Fuzzy Systems I. Preliminary Concepts. Design of A Fuzzy System. Approximation Accuracy of the Fuzzy System. Summary and Further Readings. Exercises. 11. Approximation Properties of Fuzzy Systems II. Fuzzy Systems with Second-Order Approximation Accuracy. Approximation Accuracy of Fuzzy Systems with Maximum Defuzzifier. Summary and Further Readings. Exercises. III. DESIGN OF FUZZY SYSTEMS FROM INPUT-OUTPUT DATA. 12. Design of Fuzzy Systems Using A Table Look-Up Scheme. A Table Look-Up Scheme for Designing Fuzzy Systems from Input- Output Pairs. Application to Truck Backer-Upper Control. Application to Time-Series Prediction. Summary and Further Readings. Exercises and Projects. 13. Design of Fuzzy Systems Using Gradient Descent Training. Choosing the Structure of Fuzzy Systems. Designing the Parameters by Gradient Descent. Application to Nonlinear Dynamic System Identification. Summary and Further Readings. Exercises and Projects. 14. Design of Fuzzy Systems Using Recursive Least Squares. Design of the Fuzzy System. Derivation of the Recursive Least Squares Algorithm. Application to Equalization of Nonlinear Communication Channels. 15. Design of Fuzzy Systems Using Clustering. An Optimal Fuzzy System. Design of Fuzzy Systems By Clustering. Application to Adaptive Control of Nonlinear Systems. Summary and Further Readings. Exercises and Projects. IV. NONADAPTIVE FUZZY CONTROL. 16. The Trial-and-Error Approach to Fuzzy Controller Design. Fuzzy Control Versus Conventional Control. The Trial-and-Error Approach to Fuzzy Controller Design. Case Study I: Fuzzy Control of A Cement Kiln. Case Study II: Fuzzy Control of A Wastewater Treatment Process. Summary and Further Readings. Exercises. 17. Fuzzy Control of Linear Systems I: Stable Controllers. Stable Fuzzy Control of Single-Input-Single-Output Systems. Stab
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