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Uncertain variables and learning algorithms in knowledge-based control systems

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Abstract

This paper concerns a class of knowledge-based control systems with unknown parameters in the knowledge representation describing a plant. For the deterministic case, the logic-algebraic method of determination of the control decisions has been developed. The purpose of this paper is to present an extension of this method for the case with unknown parameters. In the first part, an approach based on uncertain variables is presented. In the second part, the method and algorithms of current knowledge updating in the learning system are proposed. The main idea of this approach consists of a step-by-step estimation of the unknown parameters in the knowledge representation using the successive values of the control decisions and their results. This concept may be considered as an extension of the known ideas of identification and adaptation for the traditional case.

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References

  1. Bubnicki Z (1992) Algebraic approach to some class of reasoning problems. In: Proceedings of IFIP Workshop on Automated Reasoning, Beijing, China, 1992, pp 12–16

  2. Bubnicki Z (1992) Decomposition of a system described by logical model. In: Cybernetics and systems research. World Scientific, London, New Jersey, pp 121–128

    Google Scholar 

  3. Bubnicki Z (1995) Logic-algebraic method for knowledge-based control systems. In: Modelling, identification and control. Acta Press, Zurich, pp 253–256

    Google Scholar 

  4. Bubnicki Z (1996) Logic-algebraic foundations of a class of knowledge-based control systems. In: Proceedings of II World Automation Congress, Montpellier, France, 1996, vol 4, pp 89–94

  5. Bubnicki Z (1997) Logic-algebraic method for a class of knowledge-based systems. In: Lecture notes in computer science. Springer, Berlin, pp 420–428

    Google Scholar 

  6. Bubnicki Z (1998) Logic-algebraic method for knowledge-based relation systems. Systems analysis modelling and simulation, vol. 33, pp 21–35

    MATH  Google Scholar 

  7. Bubnicki Z (1997) Logic-algebraic approach to a class of knowledge-based fuzzy control systems. In: Proceedings of European Control Conference, Brussels, Belgium, 1997, vol 1, TU-E-G2

  8. Bubnicki Z (1998) Uncertain variables in knowledge-based systems. In: Proceedings of IASTED International Conference on Intelligent Systems and Control, Halifax, Canada, 1998

  9. Bubnicki Z (1998) Uncertain logics, variables and systems. In: Proceedings of the Third Workshop of the International Institute for General Systems Studies (IIGSS), Beidaihe, Qinhuangdao, China, 1998, pp 7–14

  10. Bubnicki Z (1980) Identification of control plants. Elsevier, Oxford, Amsterdam, New York

    MATH  Google Scholar 

  11. Bubnicki Z (1993) New problems and directions in the area of control and identification for knowledge-based systems. In: Modelling, identification and control, Acta Press, Zurich, pp 1–4

    Google Scholar 

  12. Bubnicki Z (1993) Knowledge-based approach as a generalization of pattern recognition problems and methods, Syst. Sci 19(2):5–21

    MATH  MathSciNet  Google Scholar 

  13. Bubnicki Z (1993) Logic-algebraic foundations of knowledgebased operation systems. In: Proceedings of IX International Conference onSystems Engineering, Las Vegas, 1993, pp 360–364

  14. Bubnicki Z (1997) Logic-algebraic method for a class of dynamical knowledge-based systems. In: Proceedings of IMACS Congress, Berlin, Germany, 1997, vol 1, pp 101–106

  15. Bubnicki Z (1997) Structures of distributed expert systems with parallel processing. In: Proceedings of XII International Conference on Systems Engineering, Coventry, Great Britain, 1997, pp 73–78

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Correspondence to Z. Bubnicki.

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Bubnicki, Z. Uncertain variables and learning algorithms in knowledge-based control systems. Artif Life Robotics 3, 155–159 (1999). https://doi.org/10.1007/BF02481132

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  • DOI: https://doi.org/10.1007/BF02481132

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