Exponential l2–l∞ Control for Discrete-Time Switching Markov Jump Linear Systems
Exponential l2–l∞ Control for Discrete-Time Switching Markov Jump Linear Systems
复制标题
DOI：
10.1007/s00034-013-9588-1
复制
发表时间：
2013-04
期刊：
影响因子：
--
通讯作者：
Linlin Hou;Guangdeng Zong;Weixing Zheng;Yuqiang Wu
中科院分区：
文献类型：
--
作者：
Linlin Hou;Guangdeng Zong;Weixing Zheng;Yuqiang Wu
研究了一类离散时间切换马尔可夫跳跃线性系统的指数2-L∞控制问题。首先，给出了离散切换马尔可夫跳跃线性系统的指数2-L∞均方稳定性的定义。然后，利用平均驻留时间方法，给出了具有指数型2-L∞性能指标和衰减率的均方指数稳定性判据，并设计了相应的控制器。最后，给出了数值算例和应用算例，验证了所得结果的有效性。
The problem of exponentiall2–l∞control is considered in this paper for a class of discrete-time switching Markov jump linear systems. First, the definition of exponentiall2–l∞mean square stability for discrete-time switching Markov jump linear systems is introduced. Then, by resorting to the average dwell time approach, the mean square exponential stability criteria are presented with an exponentiall2–l∞performance index and a decay rate, and the corresponding controller is also designed. Finally, numerical and application examples are provided to demonstrate the effectiveness of the obtained results.