Introduction to Fuzzy Systems

To keep pace with and further advance the rapidly developing field of applied control technologies, this book provides systematic training in the analytic theory and rigorous design of fuzzy systems. Almost entirely self-contained, it establishes a brief, yet sufficient foundation for designing and analyzing fuzzy intelligent and control systems. It clearly explains fuzzy sets, fuzzy logic, fuzzy inference, approximate reasoning, fuzzy rule base, basic fuzzy PID control systems, and more. This handy reference guide includes teaching examples as well as problem exercises, and it can easily be used as a classroom text or tutorial for self-study that will prepare readers for further work in the field.

Introduction to Fuzzy Systems provides students with a self-contained introduction that requires no preliminary knowledge of fuzzy mathematics and fuzzy control systems theory. Simplified and readily accessible, it encourages both classroom and self-directed learners to build a solid foundation in fuzzy systems. After introducing the subject, the authors move directly into presenting real-world applications of fuzzy logic, revealing its practical flavor. This practicality is then followed by basic fuzzy systems theory. The book also offers a tutorial on fuzzy control theory, based mainly on the well-known classical Proportional-Integral-Derivative (PID) controllers theory and design methods. In particular, the text discusses fuzzy PID controllers in detail, including a description of the new notion of generalized verb-based fuzzy-logic control theory. Introduction to Fuzzy Systems is primarily designed to provide training for systems and control majors, both senior undergraduate and first year graduate students, to acquaint them with the fundamental mathematical theory and design methodology required to understand and utilize fuzzy control systems.

Each chapters ends with a problem set Fuzzy Set Theory: Classical Set TheoryFuzzy Set TheoryInterval ArithmeticOperations on Fuzzy Sets: Fuzzy Logic TheoryClassical Logic TheoryThe Boolean AlgebraMulti-Valued LogicFuzzy Logic and Approximate Reasoning Fuzzy RelationsSome Applications of Fuzzy LogicProduct Quality Evaluation Decision Making for InvestmentPerformance Evaluation Miscellaneous Examples Fuzzy Rule Base and Fuzzy ModelingFuzzy Rule BaseFuzzy Modeling Fuzzy Control SystemsClassical Programmable Logic ControlFuzzy Logic Control: A General Model-Free ApproachFuzzy PID Control SystemsConventional PID ControllersFuzzy PID Controllers (Type 1)Fuzzy PID Controllers (Type 2)Fuzzy PID Controllers: Stability AnalysisComputational Verb Fuzzy Controllers Computational Verbs and Verb NumbersVerb Rules and Verb InferenceComputational Verb-Based Fuzzy PID ControllersReferences SolutionsIndex...