• DocumentCode
    1364902
  • Title

    An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling

  • Author

    Zhu, Xun-Lin ; Chen, Bing ; Yue, Dong ; Wang, Youyi

  • Author_Institution
    Dept. of Math., Zhengzhou Univ., Zhengzhou, China
  • Volume
    20
  • Issue
    2
  • fYear
    2012
  • fDate
    4/1/2012 12:00:00 AM
  • Firstpage
    330
  • Lastpage
    341
  • Abstract
    In this paper, we investigate the problem of stabilization for sampled-data fuzzy systems under variable sampling. A novel Lyapunov-Krasovskii functional (LKF) is defined to capture the characteristic of sampled-data systems, and an improved input delay approach is proposed. By the use of an appropriate enlargement scheme, new stability and stabilization criteria are obtained in terms of linear matrix inequalities (LMIs). Compared with the existing results, the newly obtained ones contain less conservatism. Some illustrative examples are given to show the effectiveness of the proposed method and the significant improvement on the existing results.
  • Keywords
    Lyapunov methods; delays; fuzzy control; linear matrix inequalities; sampled data systems; stability; LMI; Lyapunov-Krasovskii functional; T-S fuzzy system; Takagi-Sugeno fuzzy system; enlargement scheme; fuzzy system stabilization; input delay approach; linear matrix inequalities; sampled-data fuzzy system; stabilization criteria; variable sampling; Asymptotic stability; Delay; Educational institutions; Fuzzy systems; Stability criteria; Symmetric matrices; Fuzzy control; Takagi–Sugeno (T–S) fuzzy systems; input delay approach; linear matrix inequalities (LMIs); sampled-data control;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2011.2174242
  • Filename
    6064888