Stability and l 2 -gain analysis for a class of discrete-time non-linear Markovian jump systems with actuator saturation and incomplete knowledge of transition probabilities
Stability and l 2 -gain analysis for a class of discrete-time non-linear Markovian jump systems with actuator saturation and incomplete knowledge of transition probabilities
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DOI：
10.1049/iet-cta.2012.0101
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发表时间：
2012-11
影响因子：
2.6
通讯作者：
G. Song;Y. Zhang;S. Xu
中科院分区：
文献类型：
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作者：
G. Song;Y. Zhang;S. Xu
研究了一类离散非线性马尔可夫跳变系统的控制问题，该系统具有饱和执行器和不完全转移概率知识。考虑了满足扇形条件的模态非线性。给出了保证闭环系统局部随机稳定的充分条件。利用线性矩阵不等式（LMI）方法分析了闭环系统的稳定性和l2增益。条件的LMI方面提供了获得尽可能小的l2增益。最后给出了一个仿真实例，验证了该方法的有效性.
This study deals with the control problems of a class of discrete-time non-linear Markovian jump systems subject to saturating actuators and incomplete knowledge of transition probabilities. Modal non-linearities satisfying sector conditions are taken into consideration. Sufficient conditions that guarantee the closed-loop system to be locally stochastically stable are given. The linear matrix inequality (LMI) approach is used to analyse the closed-loop plant stability and l2-gain. Conditions in terms of LMIs are provided for obtaining an l2-gain as small as possible. A simulation example is given to illustrate the effectiveness of the proposed method.