Robust finite-time H∞ control for uncertain discrete-time singular systems with Markovian jumps
Robust finite-time H∞ control for uncertain discrete-time singular systems with Markovian jumps
复制标题
具有马尔可夫跳跃的不确定离散时间奇异系统的鲁棒有限时间H-控制
DOI：
10.1049/iet-cta.2013.1013
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发表时间：
2014-08
影响因子：
2.6
通讯作者：
Song Yongduan
中科院分区：
文献类型：
--
作者：
Zhang Yingqi;Shi Peng;Sing K;Song Yongduan
研究了具有时变范数有界扰动的不确定离散马尔可夫跳跃奇异系统的有限时间H∞控制问题.首先给出了奇异有限时间稳定性、奇异有限时间有界性和奇异H∞有限时间稳定性的概念。然后，给出了这类离散马尔可夫跳跃奇异系统的奇异有限时间有界性和奇异H∞有限时间稳定性的充分条件.该研究的主要贡献是为离散时间马尔可夫跳跃奇异系统的状态反馈有限时间H∞控制提出了一种数值有效和可靠的控制器设计方法。应用Fridman和Shaked提出的广义系统技术，给出了问题可解性的充分判据，并将其转化为线性矩阵不等式形式的可行性问题.最后，通过数值算例验证了所得结果的有效性.
This study is concerned with the finite‐time H∞ control problem for uncertain discrete‐time Markovian jump singular systems with time‐varying norm‐bounded disturbance. Firstly, the concepts of singular finite‐time stability, singular finite‐time boundedness and singular H∞ finite‐time stabilisation are given. Then, sufficient conditions of singular finite‐time boundedness and singular H∞ finite‐time stability are derived for the class of discrete‐time Markovian jump singular systems. The main contribution of the study is to propose a numerical efficient and reliable controller design process for state feedback finite‐time H∞ control of discrete‐time Markovian jump singular systems. By applying the descriptor system technique presented by Fridman and Shaked, sufficient criteria are presented for the solvability of the problems, which can be reduced to feasibility problems in terms of linear matrix inequalities. Finally, numerical examples are included to illustrate the validity of the presented results.
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影响因子：
6.4
作者：
Gaomin Zhang;Yuanqing Xia;P. Shi
通讯作者：
Gaomin Zhang;Yuanqing Xia;P. Shi
影响因子：
5
作者：
Yingqi Zhang;Caixia Liu;X. Mu
通讯作者：
Yingqi Zhang;Caixia Liu;X. Mu
影响因子：
6.8
作者：
Fridman, E;Shaked, U
通讯作者：
Shaked, U
影响因子：
6.4
作者：
Amato, F;Ariola, M;Dorato, P
通讯作者：
Dorato, P
影响因子：
6.8
作者：
H. Kushner
通讯作者：
H. Kushner