Course details

Fuzzy Systems for Control and Modelling

FSY Acad. year 2006/2007 Summer semester 5 credits

Current academic year

Motivation, crisp sets and fuzzy sets. Fuzzy sets operations, t-norms and conorms. Fuzzy relations and operations with them. Projection, cylindrical extension, composition. Approximate reasoning. Linguistic variable. Fuzzy implication. Generalized modus ponens and fuzzy rule "if-then". Inference rules. The evaluation of a set of the fuzzy rules. Fuzzy systems Mamdani and Sugeno. The structure of the system, knowledge and data base. Fuzzification and defuzzification. Fuzzy system as an universal approximator. Adaptive fuzzy systems, neuro fuzzy systems.

Guarantor

Jura Pavel, prof. Ing., CSc.

Language of instruction

Czech

Completion

Credit+Examination

Time span

  • 26 hrs lectures
  • 26 hrs projects

Department

Department of Control and Instrumentation (UAMT)

Subject specific learning outcomes and competences

The student has fundamental knowledge and skill in the fuzzy theory. He knows to apply it in the field of the modelling and control of the uncertainty defined systems.

Learning objectives

The goal of the course is to acquaint with the fundamentals of fuzzy sets theory and fuzzy logic. Students learn to apply the fuzzy theory for modelling of te uncertainty systems. They acquaint with adaptive techniques in the fuzzy systems.

Prerequisite knowledge and skills

There are no prerequisites

Study literature

  • Jura, P.: Základy fuzzy logiky pro řízení a modelování, VUTIUM Brno, 2003, ISBN 80-214-2261-0.
  • Driankov, D., Hellendoorn, H., Reinfrank, M.: An Introduction to Fuzzy Logic, Springer-Verlag, 1993, ISBN 3-540-56362-8.
  • Novák, V.: Fuzzy množiny a jejich aplikace, Matematický seminář, SNTL Praha, 1986.
  • Pokorný, M.: Řídicí systémy se znalostní bází, Skriptum VŠB TU Ostrava, 1995, ISBN 80-7078-275-7.
  • Pokorný, M.: Umělá inteligence v modelování a řízení, Nakladatelství BEN, Praha, 1996, ISBN 80-901984-4-9.
  • Vysoký, P.: Fuzzy řízení, Skriptum FEL ČVUT Praha, 1996, ISBN 80-01-01429-8.

Fundamental literature

  • Jura, P.: Základy fuzzy logiky pro řízení a modelování, VUTIUM Brno, 2003, ISBN 80-214-2261-0.
  • Driankov, D., Hellendoorn, H., Reinfrank, M.: An Introduction to Fuzzy Logic, Springer-Verlag, 1993, ISBN 3-540-56362-8.
  • Novák, V.: Fuzzy množiny a jejich aplikace, Matematický seminář, SNTL Praha, 1986.
  • Pokorný, M.: Řídicí systémy se znalostní bází, Skriptum VŠB TU Ostrava, 1995, ISBN 80-7078-275-7.
  • Pokorný, M.: Umělá inteligence v modelování a řízení, Nakladatelství BEN, Praha, 1996, ISBN 80-901984-4-9.
  • Vysoký, P.: Fuzzy řízení, skriptum FEL ČVUT Praha, 1996, ISBN 80-01-01429-8.

Syllabus of lectures

  • Motivation, crisp sets and fuzzy sets.
  • Operation with the fuzzy sets.
  • t-norm a conorm.
  • Fuzzy relation and operations with them. Projection, cylindrical extension, composition.
  • Approximate reasoning. Linguistic variable. Fuzzy implication.
  • Generalised "modus ponens", fuzzy rule "if-then". Inference rules.
  • Evaluation of the set of fuzzy rules.
  • Fuzzy systems Mamdani a Sugeno.
  • The structure of the fuzzy system, knowledge and data base.
  • Fuzzification and defuzzification.
  • Fuzzy system is an universal approximator.
  • Adaptive fuzzy systems.
  • Neuro-fuzzy systems.

Progress assessment

Working out of the project.

Controlled instruction

One mid-semestr written test.

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