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Notes on Supervisory Control of Fuzzy Discrete Event Systems

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Intelligent Computing Methodologies (ICIC 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12465))

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Abstract

Since the supervisory control of fuzzy discrete event systems (fuzzy DESs) was established in 2005, there have been meaningful development. The main contributions of the paper include two points: First we establish another supervisory control theorem of fuzzy DES. Here our purpose is to achieve the objective set (specifications) \( \tilde{K} \) (instead of its prefix-closure language), and we use two supervisors to control the fuzzy DES, and \( \tilde{K} \) can be between the controlled languages generated by the two supervisors. Also, a test algorithm is described to check whether or not the fuzzy controllability condition holds. Second, we further show two fundamental properties of the largest fuzzy sublanguage and the s-mallest prefix-closed fuzzy controllable superlanguage of a given fuzzy language, and two equivalence characterizations of the largest fuzzy sublanguage and the smallest prefix-closed fuzzy controllable superlanguage are given.

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Acknowledgement

The authors would like to thank the anonymous referees for important comments. This work is supported in part by the National Natural Science Foundation of China (Grant Nos. 61876195, 61572532), and the Natural Science Foundation of Guangdong Province of China (Grant No. 2017B030311011).

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Authors and Affiliations

  1. Guangzhou Sport University, Guangzhou, 510500, China

    Chongqing Lin

  2. Institute of Computer Science Theory, School of Data and Computer Science, Sun Yat-sen University, Guangzhou, 510006, China

    Daowen Qiu

Authors
  1. Chongqing Lin
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  2. Daowen Qiu
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Correspondence to Daowen Qiu .

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Editors and Affiliations

  1. Machine Learning and Systems Biology, Tongji University, Shanghai, China

    De-Shuang Huang

  2. School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, North Wollongong, NSW, Australia

    Prashan Premaratne

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Lin, C., Qiu, D. (2020). Notes on Supervisory Control of Fuzzy Discrete Event Systems. In: Huang, DS., Premaratne, P. (eds) Intelligent Computing Methodologies. ICIC 2020. Lecture Notes in Computer Science(), vol 12465. Springer, Cham. https://doi.org/10.1007/978-3-030-60796-8_29

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  • DOI: https://doi.org/10.1007/978-3-030-60796-8_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-60795-1

  • Online ISBN: 978-3-030-60796-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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