Fuzzy Control System with B-operations

  • Bohdan S. Butkiewicz
Part of the Advances in Soft Computing book series (AINSC, volume 9)


Fuzzy systems are described by rules using conjunctions “and”, “or”, “also”. Different mathematical operations are used during approximate reasoning for interpretation of these conjunctions. New interesting theorem about steady-state behavior of the system is presented and proofed. If B-operations, defined in the paper, are applied in reasoning steady-state of the system is independent on the type of B-operations. Examples of system with PD and PI fuzzy controllers are presented with different B-operations and linear and nonlinear plants. Properties of the system are discussed. All triangular operations, used typically for approximate reasoning, are B-operations. Thus, these properties are important in practice. It was shown that system is very robust against to changes of reasoning methods.


Approximate Reasoning Fuzzy Control System Triangular Norm Nonlinear Plant Mathematical Interpretation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Bohdan S. Butkiewicz
    • 1
  1. 1.Institute of Electronic SystemsWarsaw University of TechnologyWarsawPoland

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