Abstract
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.
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References
Bloch, I. (1996) Information combination operators for data fusion: A comparative review with classification. IEEE Transactions on System, Man, and Cybernetics—Part A: Systems and Humans. 1, 52–67
Butkiewicz, B. S. (1998) Steady-State Error of a System with Fuzzy Controller. IEEE Transactions on System, Man, and Cybernetics —Part B: Cybernetics, 6, 855–860
Butkiewicz, B. S. (1998) Behavior of Fuzzy PD Controller under Different Reasoning Methods. Proc. Int. Conf. Soft Computing and Measurements, St. Petersburg, v. 1, 250–259
Larsen, P, M, (1980) Industrial Applications of Fuzzy Logic Control. Int. J. Man Machin Studies, 12, No. 1, 3–10
Mizumoto, M. (1995) Improvement of Fuzzy Control Method. In book Li, H. Gupta, M. (ed.) Fuzzy Logic and Intelligent Systems, Kluwer Acad. Publishers, 1–16
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© 2001 Springer-Verlag Berlin Heidelberg
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Butkiewicz, B.S. (2001). Fuzzy Control System with B-operations. In: John, R., Birkenhead, R. (eds) Developments in Soft Computing. Advances in Soft Computing, vol 9. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1829-1_6
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DOI: https://doi.org/10.1007/978-3-7908-1829-1_6
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1361-6
Online ISBN: 978-3-7908-1829-1
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