Robust finite-time non-fragile memory &</INF> control for discrete-time singular Markovian jumping systems subject to actuator saturation

Ma Yuechao; Jia Xiaorui; Zhang Qingling

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Robust finite-time non-fragile memory & control for discrete-time singular Markovian jumping systems subject to actuator saturation

机译：离散时间奇异Markovian跳跃系统在执行器饱和下的鲁棒有限时间非脆弱记忆与控制

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This paper considers the problem of robust finite-time non-fragile memory H-infinity control for discrete-time singular Markovian jumping systems with actuator saturation. By using the multiple Lyapunov function approach and the linear matrix inequalities (LMIs) techniques, novel sufficient conditions are obtained that ensure the systems singular stochastic finite-time bounded and singular stochastic finite-time H-infinity bounded are obtained. Then the non-fragile memory feedback controllers are designed and the results are extended to LMI convex optimization problems to get the optimal values of attenuation level and the estimation of saturation attraction domain. Finally, some numerical examples are provided to illustrate the viability and effectiveness of the proposed methods. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

机译：本文考虑具有致动器饱和的离散时间奇异马尔可夫跳跃系统的鲁棒有限时间非脆弱记忆H-无限控制问题。通过使用多重Lyapunov函数方法和线性矩阵不等式（LMIs）技术，获得了新颖的充分条件，可确保获得系统奇异随机有限时间有界和奇异随机有限时间H-无穷大。然后设计了非脆弱记忆反馈控制器，并将其结果推广到LMI凸优化问题，以获得衰减水平的最优值和饱和吸引域的估计。最后，提供了一些数值示例来说明所提出方法的可行性和有效性。（C）2017富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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《Journal of the Franklin Institute》 |2017年第18期|8256-8282|共27页
作者
Ma Yuechao; Jia Xiaorui; Zhang Qingling;
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Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China;

Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China;

Northeastern Univ, Coll Sci, Shenyang 110004, Liaoning, Peoples R China;

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1. Robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation [J] . Ma Yuechao, Jia Xiaorui, Liu Deyou Applied mathematics and computation . 2016,第Null期

机译：具有时变时滞和执行器饱和的离散时间奇异马尔可夫跳跃系统的鲁棒有限时间H-∞控制
2. Robust observer-based finite-time H-infinity control for discrete-time singular Markovian jumping system with time delay and actuator saturation [J] . Ma Yuechao, Jia Xiaorui, Zhang Qingling Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2018,第期

机译：基于强大的观察者的有限时间H-Infinity，具有时间延迟和执行器饱和度的离散时间奇异的Markovian跳跃系统
3. Finite-time dissipative control for singular discrete-time Markovian jump systems with actuator saturation and partly unknown transition rates [J] . Yuechao Ma, Xiaorui Jia, Deyou Liu Applied Mathematical Modelling . 2018,第JANa期

机译：具有执行器饱和和部分未知过渡率的奇异离散时间马尔可夫跳跃系统的有限时间耗散控制
4. Robust H∞finite-time fuzzy control of nonlinear Markovian jump singular systems [C] . Li Li Chinese Control and Decision Conference . 2018

机译：非线性马尔可夫跳奇异系统的鲁棒H ∞有限时间模糊控制
5. Controller design for linear systems subject to actuator saturation. [D] . Larsson, Per Tomas. 1999

机译：线性系统的控制器设计受执行器饱和的影响。
6. Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay [O] . C Sowmiya, R Raja, Jinde Cao, -1

机译：具有泄漏延迟的马尔可夫跳跃离散时间BAM神经网络的增强鲁棒有限时间无源性
7. Finite-Time Stabilization for Discrete-Time Delayed Markovian Jump Systems with Partially Delayed Actuator Saturation [O] . Guoliang Wang, Bo Feng 2016

机译：具有部分延迟执行器饱和度的离散时间延迟Markovian跳跃系统的有限时间稳定

Robust finite-time non-fragile memory & control for discrete-time singular Markovian jumping systems subject to actuator saturation

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