Fuzzy Boundary Sampled-Data Control for Nonlinear Parabolic DPSs.

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  • Author(s): Wang ZP; Li QQ; Qiao J; Wu HN; Huang T
  • Source:
    IEEE transactions on cybernetics [IEEE Trans Cybern] 2024 Jun; Vol. 54 (6), pp. 3565-3576. Date of Electronic Publication: 2024 May 30.
  • Publication Type:
    Journal Article
  • Language:
    English
  • Additional Information
    • Source:
      Publisher: Institute of Electrical and Electronics Engineers Country of Publication: United States NLM ID: 101609393 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 2168-2275 (Electronic) Linking ISSN: 21682267 NLM ISO Abbreviation: IEEE Trans Cybern Subsets: PubMed not MEDLINE; MEDLINE
    • Publication Information:
      Original Publication: New York, NY : Institute of Electrical and Electronics Engineers, 2013-
    • Abstract:
      For a nonlinear parabolic distributed parameter system (DPS), a fuzzy boundary sampled-data (SD) control method is introduced in this article, where distributed SD measurement and boundary SD measurement are respected. Initially, this nonlinear parabolic DPS is represented precisely by a Takagi-Sugeno (T-S) fuzzy parabolic partial differential equation (PDE) model. Subsequently, under distributed SD measurement and boundary SD measurement, a fuzzy boundary SD control design is obtained via linear matrix inequalities (LMIs) on the basis of the T-S fuzzy parabolic PDE model to guarantee exponential stability for closed-loop parabolic DPS by using inequality techniques and a acrlong LF. Furthermore, respecting the property of membership functions, we present some LMI-based fuzzy boundary SD control design conditions. Finally, the effectiveness of the designed fuzzy boundary SD controller is demonstrated via two simulation examples.
    • Publication Date:
      Date Created: 20230926 Latest Revision: 20240531
    • Publication Date:
      20240531
    • Accession Number:
      10.1109/TCYB.2023.3312135
    • Accession Number:
      37751339