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

Xiao Xu, Li Wang, Zhenbin Du and Yonggui Kao

Applied Mathematics and Computation, 2023, vol. 451, issue C

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.

Keywords: Markovian jump; fBm; sampled-data; H∞ control (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323001832

DOI: 10.1016/j.amc.2023.128014

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