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Non-fragile H-infinity state feedback control for singular Markovian jump fuzzy systems with interval time-delay

机译:具有间隔时滞的奇异马尔可夫跳跃模糊系统的非脆弱H-无穷状态反馈控制

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摘要

In this paper, the problem of non-fragile H-infinity state feedback control for singular Markovian jump fuzzy systems with time-varying delays is investigated. Based on the mode-dependent Lyapunov-Krasovskii function and a new difference inequality, sufficient conditions are obtained which guarantee that the resulted closed-loop system is stochastically admissible with H-infinity performance index gamma. Then a state feedback controller under controller gain perturbations is designed by solving the linear matrix inequalities. Finally, some numerical examples are provided to show the effectiveness of the proposed approaches.
机译:研究了具有时变时滞的奇异Markovian跳跃模糊系统的非脆弱H-无穷状态反馈控制问题。基于与模式有关的Lyapunov-Krasovskii函数和新的差分不等式,获得了充分的条件,这些条件保证了所得的闭环系统在H-无穷大性能指标gamma的情况下是随机允许的。然后通过求解线性矩阵不等式,设计了一种在控制器增益扰动下的状态反馈控制器。最后,提供了一些数值示例来说明所提出方法的有效性。

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