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Finite-Time H∞ Sampled-Data Reliable Control for a Class of Markovian Jump Systems with Randomly Occurring Uncertainty via T-S Fuzzy Model

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Abstract

The paper analyzes finite-time H∞ sampled-data reliability control for nonlinear continuous time Markovian jump systems with randomly occurring uncertainty on account of T-S fuzzy model. In particular, the transition rates of the Markovian jump systems have both the upper bound and lower bound. Meanwhile, a new Lyapunov-Krasovskii functional (LKF) is considered, which fully captures the available characteristics of real sampling period, and a sampled-data controller with nonlinear actuator failures is designed. Based on the integral inequality technique, some less conservative conditions are proposed such that the stochastic fuzzy system is reliable in the sense, which satisfies finite-time bounded and certain H∞ performance level γ. Additionally, some numerical examples can illustrate the effectiveness of the results.

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, China

    Yuanyuan Liu, Yutong Zhang & Yuechao Ma

Authors
  1. Yuanyuan Liu
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  2. Yutong Zhang
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  3. Yuechao Ma
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Corresponding authors

Correspondence to Yuanyuan Liu or Yuechao Ma.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 61273004, and the Natural Science Foundation of Hebei Province No. F2018203099.

This paper was recommended for publication by Editor LIU Kang-Zhi.

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Liu, Y., Zhang, Y. & Ma, Y. Finite-Time H∞ Sampled-Data Reliable Control for a Class of Markovian Jump Systems with Randomly Occurring Uncertainty via T-S Fuzzy Model. J Syst Sci Complex 35, 860–887 (2022). https://doi.org/10.1007/s11424-021-0220-3

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  • DOI: https://doi.org/10.1007/s11424-021-0220-3

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