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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

LIU Yuanyuan, ZHANG Yutong, MA Yuechao   

  1. School of Science, Yanshan University, Qinhuangdao 066004, China
  • Received:2020-09-14 Revised:2021-01-14 Published:2022-06-20
  • Supported by:
    This research was supported by the Science Center Program of the National Natural Science Foundation of China under Grant No. 62188101, and in part by the National Key R&D Program of China under Grant No. 2018YFB1308300 and the National Natural Science Foundation of China under Grant Nos. U20A20187, 61825304.

LIU Yuanyuan, ZHANG Yutong, MA Yuechao. Finite-Time H ∞ Sampled-Data Reliable Control for a Class of Markovian Jump Systems with Randomly Occurring Uncertainty via T-S Fuzzy Model[J]. Journal of Systems Science and Complexity, 2022, 35(3): 860-887.

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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