Fuzzy Control System with B-operations
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.
KeywordsApproximate Reasoning Fuzzy Control System Triangular Norm Nonlinear Plant Mathematical Interpretation
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