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Robust stability for uncertain discrete-time descriptor Markov jump systems subject to actuator saturation

机译：不确定的离散时间Markov跳变系统在执行器饱和下的鲁棒稳定性

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摘要

In this paper, the robust stochastic stability problem for uncertain discrete-time descriptor Markov jump systems with actuator saturation is considered. A sufficient condition which guarantees that the discrete-time descriptor Markov jump systems with actuator saturation is regular, causal and stochastically stable is established. With this condition, the design of robust state feedback controller is developed based on linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed methods.

机译：本文考虑了具有致动器饱和的不确定离散时间马尔可夫跳跃系统的鲁棒随机稳定性问题。建立了一个充分条件，保证了具有执行器饱和的离散时间马尔可夫跳跃系统是规则的，因果的和随机的。在这种条件下，基于线性矩阵不等式（LMI）方法开发了鲁棒状态反馈控制器的设计。数值例子说明了所提方法的有效性。

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来源
《2011 30th Chinese Control Conference》|2011年|p.1155-1160|共6页
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作者
Ma Shuping; Zhang Chenghui;
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正文语种
中图分类自动控制、自动控制系统;
关键词
Actuator saturation; Discrete-time descriptor Markov jump system; LMI; Robust stability;

机译：执行器饱和;离散描述符马尔可夫跳跃系统; LMI;鲁棒稳定性;

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专利

1. Robust stability for discrete-time uncertain singular markov jump systems with actuator saturation [J] . Control Theory & Applications, IET . 2011,第2期

机译：具有执行器饱和的离散时间不确定奇异马尔可夫跳跃系统的鲁棒稳定性
2. Robust H-infinity control for uncertain discrete-time Markovian jump systems with actuator saturation [J] . Ting SHI, Hongye SU, Jian CHU 控制理论与应用：英文版 . 2011,第004期

机译：具有执行器饱和的不确定离散马尔可夫跳跃系统的鲁棒H-∞控制
3. Robust control of uncertain discrete-time Markovian jump systems with actuator saturation [J] . Liu HP, Sun FC, Boukas EK International Journal of Control . 2006,第7期

机译：具有执行器饱和的不确定离散马尔可夫跳跃系统的鲁棒控制
4. Robust stability for uncertain discrete-time descriptor Markov jump systems subject to actuator saturation [C] . Ma Shuping, Zhang Chenghui Chinese Control Conference . 2011

机译：不确定离散时间描述符的强大稳定性Markov跳跃系统受执行器饱和度
5. A QFT design methodology for SISO uncertain LTI systems subject to input saturation. [D] . Wu, Wei. 2000

机译：适用于受输入饱和影响的SISO不确定LTI系统的QFT设计方法。
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. Robust observer-based control for discrete-time semi-Markov jump systems with actuator saturation [O] . Yueyuan Zhang, Yanyan Yin, Fei Liu 2020

机译：基于强大的观察者对具有执行器饱和度的离散时间半马尔可夫跳转系统的控制

Robust stability for uncertain discrete-time descriptor Markov jump systems subject to actuator saturation

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