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H∞ Sampled-Data Control for Uncertain Fuzzy Systems under Markovian Jump and FBm

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  • Xu, Xiao
  • Wang, Li
  • Du, Zhenbin
  • Kao, Yonggui

Abstract

This study concerns the sampled-data H∞ control problems of Markovian jump uncertain fuzzy systems constrained by the fractional Brownian motion (fBm). By constructing a piecewise Lyapunov-Krasovskii functional (LKF) and derivating it, sufficient conditions are gained for the stability of the Takagi-Sugeno (T-S) fuzzy systems. Especially, the free-weighting matrix and Newton-Leibniz formula are exploited to relax the conservatism. At last, state curves of three classic practical examples show the rationality of our design.

Suggested Citation

  • Xu, Xiao & Wang, Li & Du, Zhenbin & Kao, Yonggui, 2023. "H∞ Sampled-Data Control for Uncertain Fuzzy Systems under Markovian Jump and FBm," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    • Handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001832
    DOI: 10.1016/j.amc.2023.128014
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    References listed on IDEAS

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