部分转移概率离散奇异Markov跳变系统的镇定  

Stabilization of discrete-time singular Markov jump systems with partly transition probabilities

作　　者：常华[1] 方洋旺[2] 楼顺天[1] 

机构地区：[1]西安电子科技大学电子工程学院,陕西西安710071 [2]空军工程大学工程学院,陕西西安710038

出　　处：《太赫兹科学与电子信息学报》2013年第3期463-468,共6页Journal of Terahertz Science and Electronic Information Technology

基　　金：国家自然科学基金资助项目(60674040;61201299)

摘　　要：针对具有更广泛意义的部分转移概率未知情况下的离散时间奇异Markov跳变线性系统,给出了使开环系统正则、因果、随机稳定的充分条件,并表示为严格线性矩阵不等式形式,且消除了等式约束条件。部分转移概率未知的条件包括了完全开关系统和随机跳变转移概率完全未知的情况,适用范围更广泛;在此基础上,通过求解严格线性矩阵不等式的可行解,设计了模式依赖状态反馈控制器,使闭环系统正则、因果、随机稳定,实现了系统的镇定;最后,给出一个仿真算例验证了所提方法的有效性。For a class of more general condition of discrete-time singular Markov jump linear systems with partly unknown transition probabilities, a sufficient condition for the open-loop systems to be regular, causal and stochastically stable is proposed in terms of a set of strict linear matrix inequalities without the equation constraints. The considered situation is more usual than systems with probabilities all known or unknown. Moreover, the design of mode-dependent state feedback controller is presented to make the closed-loop systems be regular, causal and stochastically stable. The stabilization problem is handled by solving the set of strict linear matrix inequalities. Finally, a numerical example is given to illustrate the validity of the proposed results.

关 键 词：奇异系统 MARKOV跳变系统 稳定性 镇定 线性矩阵不等式 

分 类 号：O211.6[理学—概率论与数理统计] O231[理学—数学]